# Quizbank/College Physics Sem 1/FE

College Physics Sem 1/FE ID153514416667

For more information visit **Quizbank/College Physics Sem 1**

**Exams: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**Answers: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**78 Tests = 3 versions x 26 variations: **Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

**Links:** Quizbank/Instructions Study guide file:QB-College Physics Sem 1-FE.pdf

*Contact me at* User talk:Guy vandegrift *if you need any help.*

### FE A0[edit]

1) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

2) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 27.0 meters
- c) 25.0 meters
- d) 24.0 meters
- e) 26.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

4) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) northeast
- b) south
- c) north
- d) northwest
- e) southeast

5) A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- a) 12.5 N.
- b) 14.3 N.
- c) 16.5 N.
- d) 19 N.
- e) 21.8 N.

6) A sled of mass 5.4 kg is at rest on a rough surface. A string pulls with a tension of 46.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

- a) 36.72 N.
- b) 42.23 N.
- c) 48.56 N.
- d) 55.85 N.
- e) 64.23 N.

_{1}is 17 degrees , and θ

_{3}is 39 degrees . The mass has a

*weight*of 42 N. What is the tension, T

_{1}?

- a) 34.24 N.
- b) 39.37 N.
- c) 45.28 N.
- d) 52.07 N.
- e) 59.88 N.

- a) 1.85 m
- b) 1.98 m
- c) 2.12 m
- d) 2.27 m
- e) 2.43 m

9) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- a) 801 kg
- b) 961 kg
- c) 1154 kg
- d) 1385 kg
- e) 1661 kg

- a) 3.31E+01 N
- b) 4.17E+01 N
- c) 5.25E+01 N
- d) 6.61E+01 N
- e) 8.32E+01 N

11) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

- a) 3.39 x 10
^{1}J - b) 4.1 x 10
^{1}J - c) 4.97 x 10
^{1}J - d) 6.02 x 10
^{1}J - e) 7.3 x 10
^{1}J

12) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 1.59E4 N
- b) 2.00E4 N
- c) 2.52E4 N
- d) 3.17E4 N
- e) 3.99E4 N

13) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 8.86E-1 m/s
- b) 1.07E0 m/s
- c) 1.30E0 m/s
- d) 1.57E0 m/s
- e) 1.91E0 m/s

14) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

- a) 3.08 x 10
^{2}m/s - b) 3.73 x 10
^{2}m/s - c) 4.52 x 10
^{2}m/s - d) 5.48 x 10
^{2}m/s - e) 6.64 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

- a) 6.62 x 10
^{4}J - b) 7.8 x 10
^{4}J - c) 9.19 x 10
^{4}J - d) 1.08 x 10
^{5}J - e) 1.28 x 10
^{5}J

_{1}= 1.9 kPa, P

_{2}= 3.6 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.3m

^{3}. How much work is done in in one cycle?

- a) 4.57 x 10
^{1}J - b) 1.45 x 10
^{2}J - c) 4.57 x 10
^{2}J - d) 1.45 x 10
^{3}J - e) 4.57 x 10
^{3}J

#### FE A1[edit]

1) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

- a) 4.27 x 10
^{2}m/s - b) 5.17 x 10
^{2}m/s - c) 6.26 x 10
^{2}m/s - d) 7.59 x 10
^{2}m/s - e) 9.19 x 10
^{2}m/s

2) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

3) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) north
- b) southeast
- c) south
- d) northwest
- e) northeast

4) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.7N at an angle of 41 degress above the horizontal. What is the magnitude of the friction?

- a) 24.94 N.
- b) 28.68 N.
- c) 32.98 N.
- d) 37.93 N.
- e) 43.62 N.

- a) 3.93E+01 N
- b) 4.95E+01 N
- c) 6.23E+01 N
- d) 7.84E+01 N
- e) 9.87E+01 N

6) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the total kinetic if the wheel is rotating about a stationary axis?

- a) 6.6 x 10
^{0}J - b) 7.99 x 10
^{0}J - c) 9.68 x 10
^{0}J - d) 1.17 x 10
^{1}J - e) 1.42 x 10
^{1}J

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 25.0 meters
- b) 26.0 meters
- c) 23.0 meters
- d) 27.0 meters
- e) 24.0 meters

- a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

9) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 8.86E-1 m/s
- b) 1.07E0 m/s
- c) 1.30E0 m/s
- d) 1.57E0 m/s
- e) 1.91E0 m/s

10) A mass with weight (mg) of 37 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 44 degrees. What is the tension in the string?

- a) 11.4 N.
- b) 13.1 N.
- c) 15.1 N.
- d) 17.4 N.
- e) 20 N.

_{1}= 2.3 kPa, P

_{2}= 4.8 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 3.5m

^{3}. How much work is done in in one cycle?

- a) 1.75 x 10
^{1}J - b) 5.53 x 10
^{1}J - c) 1.75 x 10
^{2}J - d) 5.53 x 10
^{2}J - e) 1.75 x 10
^{3}J

12) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

- a) 3326 kg
- b) 3991 kg
- c) 4789 kg
- d) 5747 kg
- e) 6896 kg

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- a) 27.32 N.
- b) 31.42 N.
- c) 36.13 N.
- d) 41.55 N.
- e) 47.78 N.

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- a) 0.43 s.
- b) 0.52 s.
- c) 0.62 s.
- d) 0.75 s.
- e) 0.9 s.

15) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

16) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 4.01E3 N
- b) 5.04E3 N
- c) 6.35E3 N
- d) 7.99E3 N
- e) 1.01E4 N

#### FE A2[edit]

- a) 1.83 m
- b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

2) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 1.14E0 m/s
- b) 1.38E0 m/s
- c) 1.67E0 m/s
- d) 2.02E0 m/s
- e) 2.45E0 m/s

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

4) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 7.39 x 10
^{0}J - b) 8.95 x 10
^{0}J - c) 1.08 x 10
^{1}J - d) 1.31 x 10
^{1}J - e) 1.59 x 10
^{1}J

5) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

6) A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- a) 12.8 N.
- b) 14.8 N.
- c) 17 N.
- d) 19.5 N.
- e) 22.5 N.

7) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

- a) 4.27 x 10
^{2}m/s - b) 5.17 x 10
^{2}m/s - c) 6.26 x 10
^{2}m/s - d) 7.59 x 10
^{2}m/s - e) 9.19 x 10
^{2}m/s

8) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

9) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 1.48E4 N
- b) 1.87E4 N
- c) 2.35E4 N
- d) 2.96E4 N
- e) 3.73E4 N

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- a) 27.32 N.
- b) 31.42 N.
- c) 36.13 N.
- d) 41.55 N.
- e) 47.78 N.

11) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) northwest
- b) northeast
- c) south
- d) southeast
- e) north

12) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

- a) 19.64 N.
- b) 22.59 N.
- c) 25.98 N.
- d) 29.88 N.
- e) 34.36 N.

- a) 3.31E+01 N
- b) 4.17E+01 N
- c) 5.25E+01 N
- d) 6.61E+01 N
- e) 8.32E+01 N

_{1}= 1.9 kPa, P

_{2}= 3.6 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.3m

^{3}. How much work is done in in one cycle?

- a) 4.57 x 10
^{1}J - b) 1.45 x 10
^{2}J - c) 4.57 x 10
^{2}J - d) 1.45 x 10
^{3}J - e) 4.57 x 10
^{3}J

15) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 27.0 meters
- b) 24.0 meters
- c) 26.0 meters
- d) 25.0 meters
- e) 23.0 meters

16) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

- a) 2435 kg
- b) 2922 kg
- c) 3507 kg
- d) 4208 kg
- e) 5049 kg

### FE B0[edit]

1) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 13.0 meters
- c) 15.0 meters
- d) 16.0 meters
- e) 14.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

4) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) south
- b) northwest
- c) northeast
- d) southwest
- e) north

5) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

6) A sled of mass 5.4 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.2N at an angle of 58 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

- a) 2.6 s
- b) 2.99 s
- c) 3.43 s
- d) 3.95 s
- e) 4.54 s

7) In the figure "3 tensions" shown above θ_{1} is 16 degrees, and θ_{3} is 30 degrees. The tension T_{3} is 45 N. What is the weight?

- a) 25.5 N.
- b) 29.3 N.
- c) 33.7 N.
- d) 38.7 N.
- e) 44.5 N.

8) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

9) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- a) 1124 kg
- b) 1348 kg
- c) 1618 kg
- d) 1942 kg
- e) 2330 kg

- a) 3.41E+01 N
- b) 4.29E+01 N
- c) 5.41E+01 N
- d) 6.81E+01 N
- e) 8.57E+01 N

11) A lead filled bicycle wheel of radius 0.38 m and mass 2.8 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 1.07 x 10
^{1}J - b) 1.3 x 10
^{1}J - c) 1.57 x 10
^{1}J - d) 1.9 x 10
^{1}J - e) 2.31 x 10
^{1}J

12) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.56E3 N
- b) 6.74E3 N
- c) 8.16E3 N
- d) 9.89E3 N
- e) 1.20E4 N

13) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

14) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 65 degrees Fahrenheit?

- a) 5.11 x 10
^{2}m/s - b) 6.19 x 10
^{2}m/s - c) 7.49 x 10
^{2}m/s - d) 9.08 x 10
^{2}m/s - e) 1.1 x 10
^{3}m/s

15) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 4.16 x 10
^{0}unit - b) 5.04 x 10
^{0}unit - c) 6.1 x 10
^{0}unit - d) 7.39 x 10
^{0}unit - e) 8.96 x 10
^{0}unit

_{1}= 1.1 kPa, P

_{2}= 3.5 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 2.5m

^{3}. How much work is involved between 1 and 4?

- a) 1.43 x 10
^{1}J - b) 4.52 x 10
^{1}J - c) 1.43 x 10
^{2}J - d) 4.52 x 10
^{2}J - e) 1.43 x 10
^{3}J

#### FE B1[edit]

1) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- a) 1883 kg
- b) 2259 kg
- c) 2711 kg
- d) 3253 kg
- e) 3904 kg

2) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- a) 40.3 N.
- b) 46.4 N.
- c) 53.3 N.
- d) 61.3 N.
- e) 70.5 N.

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- a) 1.67 x 10
^{3}J - b) 5.27 x 10
^{3}J - c) 1.67 x 10
^{4}J - d) 5.27 x 10
^{4}J - e) 1.67 x 10
^{5}J

4) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 5.16 x 10
^{0}J - b) 6.25 x 10
^{0}J - c) 7.58 x 10
^{0}J - d) 9.18 x 10
^{0}J - e) 1.11 x 10
^{1}J

5) What is the rms speed of a molecule with an atomic mass of 7 if the temperature is 107 degrees Fahrenheit?

- a) 7.22 x 10
^{2}m/s - b) 8.74 x 10
^{2}m/s - c) 1.06 x 10
^{3}m/s - d) 1.28 x 10
^{3}m/s - e) 1.55 x 10
^{3}m/s

- a) 1.07E+02 N
- b) 1.35E+02 N
- c) 1.70E+02 N
- d) 2.14E+02 N
- e) 2.70E+02 N

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 14.0 meters
- c) 17.0 meters
- d) 13.0 meters
- e) 15.0 meters

8) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

9) A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

- a) 8.2 m/s
^{2}. - b) 9.4 m/s
^{2}. - c) 10.8 m/s
^{2}. - d) 12.4 m/s
^{2}. - e) 14.3 m/s
^{2}.

10) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) northeast
- b) north
- c) south
- d) southwest
- e) northwest

11) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- a) 1.05 s
- b) 1.21 s
- c) 1.39 s
- d) 1.6 s
- e) 1.84 s

12) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.53 x 10
^{0}unit - b) 1.86 x 10
^{0}unit - c) 2.25 x 10
^{0}unit - d) 2.73 x 10
^{0}unit - e) 3.31 x 10
^{0}unit

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

14) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 7.00E3 N
- b) 8.48E3 N
- c) 1.03E4 N
- d) 1.24E4 N
- e) 1.51E4 N

15) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 6.00E4
- b) 7.27E4
- c) 8.81E4
- d) 1.07E5
- e) 1.29E5

16) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

#### FE B2[edit]

1) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 40.3N at an angle of 43 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

- a) 1.27 s
- b) 1.46 s
- c) 1.68 s
- d) 1.93 s
- e) 2.22 s

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

3) What is the rms speed of a molecule with an atomic mass of 7 if the temperature is 107 degrees Fahrenheit?

- a) 7.22 x 10
^{2}m/s - b) 8.74 x 10
^{2}m/s - c) 1.06 x 10
^{3}m/s - d) 1.28 x 10
^{3}m/s - e) 1.55 x 10
^{3}m/s

4) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.96E3 N
- b) 7.21E3 N
- c) 8.74E3 N
- d) 1.06E4 N
- e) 1.28E4 N

5) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

6) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the total kinetic if the wheel is rotating about a stationary axis?

- a) 6.6 x 10
^{0}J - b) 7.99 x 10
^{0}J - c) 9.68 x 10
^{0}J - d) 1.17 x 10
^{1}J - e) 1.42 x 10
^{1}J

7) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.53 x 10
^{0}unit - b) 1.86 x 10
^{0}unit - c) 2.25 x 10
^{0}unit - d) 2.73 x 10
^{0}unit - e) 3.31 x 10
^{0}unit

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 17.0 meters
- c) 14.0 meters
- d) 15.0 meters
- e) 13.0 meters

9) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- a) 18.6 N.
- b) 21.4 N.
- c) 24.6 N.
- d) 28.3 N.
- e) 32.6 N.

- a) 6.83E+01 N
- b) 8.59E+01 N
- c) 1.08E+02 N
- d) 1.36E+02 N
- e) 1.71E+02 N

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

12) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- a) 52.36 s
- b) 62.83 s
- c) 75.4 s
- d) 90.47 s
- e) 108.57 s

13) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) southwest
- b) south
- c) northwest
- d) northeast
- e) north

14) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 5.70E3
- b) 6.90E3
- c) 8.36E3
- d) 1.01E4
- e) 1.23E4

15) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

16) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

- a) 3326 kg
- b) 3991 kg
- c) 4789 kg
- d) 5747 kg
- e) 6896 kg

### FE C0[edit]

1) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

2) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 27.0 meters
- c) 26.0 meters
- d) 25.0 meters
- e) 23.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

4) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- a) northwest
- b) southeast
- c) north
- d) northeast
- e) northeast

5) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

6) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- a) 1.05 s
- b) 1.21 s
- c) 1.39 s
- d) 1.6 s
- e) 1.84 s

_{1}is 16 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 45 N. What is the tension, T

_{1}?

- a) 26.66 N.
- b) 30.66 N.
- c) 35.25 N.
- d) 40.54 N.
- e) 46.62 N.

8) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
- c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

- a) 39 m/s.
- b) 42 m/s.
- c) 44 m/s.
- d) 48 m/s.
- e) 51 m/s.

_{1}= 6.9m, L

_{2}= 4.4m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.96N and F

_{3}=0.1N?

- a) 7.42E-01 N
- b) 8.99E-01 N
- c) 1.09E+00 N
- d) 1.32E+00 N
- e) 1.60E+00 N

11) A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

- a) 5.45 x 10
^{0}m - b) 6.6 x 10
^{0}m - c) 7.99 x 10
^{0}m - d) 9.68 x 10
^{0}m - e) 1.17 x 10
^{1}m

12) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.23E4 Pa
- b) 3.92E4 Pa
- c) 4.75E4 Pa
- d) 5.75E4 Pa
- e) 6.97E4 Pa

13) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 3.10E1 mm
- b) 3.76E1 mm
- c) 4.55E1 mm
- d) 5.51E1 mm
- e) 6.68E1 mm

14) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 12 degrees Fahrenheit?

- a) 2.8 x 10
^{2}m/s - b) 3.39 x 10
^{2}m/s - c) 4.11 x 10
^{2}m/s - d) 4.97 x 10
^{2}m/s - e) 6.03 x 10
^{2}m/s

15) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.53 x 10
^{0}unit - b) 1.86 x 10
^{0}unit - c) 2.25 x 10
^{0}unit - d) 2.73 x 10
^{0}unit - e) 3.31 x 10
^{0}unit

_{1}= 1.1 kPa, P

_{2}= 3.5 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 2.5m

^{3}. How much work is involved between 1 and 4?

- a) 1.43 x 10
^{1}J - b) 4.52 x 10
^{1}J - c) 1.43 x 10
^{2}J - d) 4.52 x 10
^{2}J - e) 1.43 x 10
^{3}J

#### FE C1[edit]

1) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 42.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 10.4 m/s?

- a) 1.25 s
- b) 1.44 s
- c) 1.65 s
- d) 1.9 s
- e) 2.18 s

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- a) 10.01 N.
- b) 11.51 N.
- c) 13.23 N.
- d) 15.22 N.
- e) 17.5 N.

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

5) A car with a tire radius of 0.31 m accelerates from 0 to 39 m/s in 9.3 seconds. What is the angular acceleration of the wheel?

- a) 1.12 x 10
^{1}m - b) 1.35 x 10
^{1}m - c) 1.64 x 10
^{1}m - d) 1.99 x 10
^{1}m - e) 2.41 x 10
^{1}m

6) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- a) northeast
- b) north
- c) southeast
- d) northwest
- e) northeast

_{1}= 6.9m, L

_{2}= 4.4m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.96N and F

_{3}=0.1N?

- a) 7.42E-01 N
- b) 8.99E-01 N
- c) 1.09E+00 N
- d) 1.32E+00 N
- e) 1.60E+00 N

8) A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 2.37 x 10
^{0}unit - b) 2.87 x 10
^{0}unit - c) 3.47 x 10
^{0}unit - d) 4.21 x 10
^{0}unit - e) 5.1 x 10
^{0}unit

9) A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

- a) 6.4 m/s
^{2}. - b) 7.3 m/s
^{2}. - c) 8.4 m/s
^{2}. - d) 9.7 m/s
^{2}. - e) 11.1 m/s
^{2}.

10) What is the rms speed of a molecule with an atomic mass of 12 if the temperature is 93 degrees Fahrenheit?

- a) 7.99 x 10
^{2}m/s - b) 9.68 x 10
^{2}m/s - c) 1.17 x 10
^{3}m/s - d) 1.42 x 10
^{3}m/s - e) 1.72 x 10
^{3}m/s

11) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

12) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

- a) 55 m/s.
- b) 59 m/s.
- c) 63 m/s.
- d) 68 m/s.
- e) 73 m/s.

14) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.88E4 Pa
- b) 4.70E4 Pa
- c) 5.70E4 Pa
- d) 6.90E4 Pa
- e) 8.37E4 Pa

15) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 18.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 4.45E1 mm
- b) 5.39E1 mm
- c) 6.52E1 mm
- d) 7.90E1 mm
- e) 9.58E1 mm

16) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 27.0 meters
- c) 23.0 meters
- d) 25.0 meters
- e) 26.0 meters

#### FE C2[edit]

_{1}= 6.9m, L

_{2}= 4m and L

_{3}= 8.4m. What is F

_{2}if F

_{1}=0.99N and F

_{3}=0.1N?

- a) 1.50E+00 N
- b) 1.81E+00 N
- c) 2.20E+00 N
- d) 2.66E+00 N
- e) 3.23E+00 N

2) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.88E4 Pa
- b) 4.70E4 Pa
- c) 5.70E4 Pa
- d) 6.90E4 Pa
- e) 8.37E4 Pa

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

4) A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

- a) 5.45 x 10
^{0}m - b) 6.6 x 10
^{0}m - c) 7.99 x 10
^{0}m - d) 9.68 x 10
^{0}m - e) 1.17 x 10
^{1}m

5) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- a) northwest
- b) north
- c) northeast
- d) southeast
- e) northeast

6) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- a) 1.05 s
- b) 1.21 s
- c) 1.39 s
- d) 1.6 s
- e) 1.84 s

- a) 47 m/s.
- b) 51 m/s.
- c) 54 m/s.
- d) 58 m/s.
- e) 62 m/s.

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 1.81 x 10
^{2}J - b) 5.72 x 10
^{2}J - c) 1.81 x 10
^{3}J - d) 5.72 x 10
^{3}J - e) 1.81 x 10
^{4}J

9) What is the rms speed of a molecule with an atomic mass of 14 if the temperature is 22 degrees Fahrenheit?

- a) 6.9 x 10
^{2}m/s - b) 8.37 x 10
^{2}m/s - c) 1.01 x 10
^{3}m/s - d) 1.23 x 10
^{3}m/s - e) 1.49 x 10
^{3}m/s

10) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 25.0 meters
- b) 23.0 meters
- c) 27.0 meters
- d) 24.0 meters
- e) 26.0 meters

11) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- a) 3.8 m/s
^{2}. - b) 4.3 m/s
^{2}. - c) 5 m/s
^{2}. - d) 5.7 m/s
^{2}. - e) 6.6 m/s
^{2}.

_{1}is 17 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 46 N. What is the tension, T

_{1}?

- a) 36.22 N.
- b) 41.66 N.
- c) 47.91 N.
- d) 55.09 N.
- e) 63.36 N.

13) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 4.16 x 10
^{0}unit - b) 5.04 x 10
^{0}unit - c) 6.1 x 10
^{0}unit - d) 7.39 x 10
^{0}unit - e) 8.96 x 10
^{0}unit

14) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

15) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

16) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 1.23E2 mm
- b) 1.48E2 mm
- c) 1.80E2 mm
- d) 2.18E2 mm
- e) 2.64E2 mm

### FE D0[edit]

1) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

2) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 9.0 meters

3) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

4) If you toss a coin into the air, the acceleration on the way up is

- a) up
- b) down
- c) zero

5) A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

- a) 6.4 m/s
^{2}. - b) 7.3 m/s
^{2}. - c) 8.4 m/s
^{2}. - d) 9.7 m/s
^{2}. - e) 11.1 m/s
^{2}.

6) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

- a) 1.87 s
- b) 2.15 s
- c) 2.47 s
- d) 2.85 s
- e) 3.27 s

7) In the figure "3 tensions" shown above θ_{1} is 20 degrees, and θ_{3} is 29 degrees. The tension T_{3} is 25 N. What is the weight?

- a) 20.1 N.
- b) 23.1 N.
- c) 26.6 N.
- d) 30.5 N.
- e) 35.1 N.

- a) 1.69 m
- b) 1.81 m
- c) 1.93 m
- d) 2.07 m
- e) 2.21 m

- a) 54 m/s.
- b) 58 m/s.
- c) 62 m/s.
- d) 66 m/s.
- e) 70 m/s.

- a) 3.03E+01 N
- b) 3.67E+01 N
- c) 4.45E+01 N
- d) 5.39E+01 N
- e) 6.53E+01 N

11) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

- a) 7.65 x 10
^{0}m - b) 9.27 x 10
^{0}m - c) 1.12 x 10
^{1}m - d) 1.36 x 10
^{1}m - e) 1.65 x 10
^{1}m

12) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.23E4 Pa
- b) 3.92E4 Pa
- c) 4.75E4 Pa
- d) 5.75E4 Pa
- e) 6.97E4 Pa

13) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.08E4
- b) 1.31E4
- c) 1.58E4
- d) 1.92E4
- e) 2.32E4

14) If a molecule with atomic mass equal to 8 amu has a speed of 331 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

- a) 8.36 x 10
^{1}m/s - b) 1.01 x 10
^{2}m/s - c) 1.23 x 10
^{2}m/s - d) 1.49 x 10
^{2}m/s - e) 1.8 x 10
^{2}m/s

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 5.05 x 10
^{0}unit - b) 6.11 x 10
^{0}unit - c) 7.41 x 10
^{0}unit - d) 8.97 x 10
^{0}unit - e) 1.09 x 10
^{1}unit

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 1.34 x 10
^{2}J - b) 4.23 x 10
^{2}J - c) 1.34 x 10
^{3}J - d) 4.23 x 10
^{3}J - e) 1.34 x 10
^{4}J

#### FE D1[edit]

- a) 1.79 m
- b) 1.92 m
- c) 2.05 m
- d) 2.20 m
- e) 2.35 m

2) If a molecule with atomic mass equal to 8 amu has a speed of 475 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- a) 1.73 x 10
^{2}m/s - b) 2.1 x 10
^{2}m/s - c) 2.54 x 10
^{2}m/s - d) 3.08 x 10
^{2}m/s - e) 3.73 x 10
^{2}m/s

3) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 12.0 meters
- e) 9.0 meters

4) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 3.04E3
- b) 3.68E3
- c) 4.46E3
- d) 5.40E3
- e) 6.55E3

5) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- a) 3.8 m/s
^{2}. - b) 4.3 m/s
^{2}. - c) 5 m/s
^{2}. - d) 5.7 m/s
^{2}. - e) 6.6 m/s
^{2}.

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 3.6 x 10
^{3}J - b) 1.14 x 10
^{4}J - c) 3.6 x 10
^{4}J - d) 1.14 x 10
^{5}J - e) 3.6 x 10
^{5}J

7) A particle accelerates uniformly at 11.5 m/s/s. How long does it take for the velocity to increase from 1164 m/s to 2020 m/s?

- a) 35.9 s
- b) 43.08 s
- c) 51.69 s
- d) 62.03 s
- e) 74.43 s

- a) 3.03E+01 N
- b) 3.67E+01 N
- c) 4.45E+01 N
- d) 5.39E+01 N
- e) 6.53E+01 N

- a) 34 m/s.
- b) 36 m/s.
- c) 39 m/s.
- d) 41 m/s.
- e) 44 m/s.

10) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- a) 40.3 N.
- b) 46.4 N.
- c) 53.3 N.
- d) 61.3 N.
- e) 70.5 N.

11) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.5 x 10
^{0}unit - b) 1.81 x 10
^{0}unit - c) 2.2 x 10
^{0}unit - d) 2.66 x 10
^{0}unit - e) 3.23 x 10
^{0}unit

12) If you toss a coin into the air, the acceleration on the way up is

- a) down
- b) up
- c) zero

13) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 11.1 seconds. What is the angular acceleration of the wheel?

- a) 9.21 x 10
^{0}m - b) 1.12 x 10
^{1}m - c) 1.35 x 10
^{1}m - d) 1.64 x 10
^{1}m - e) 1.98 x 10
^{1}m

14) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.7N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

- a) 1.89 s
- b) 2.18 s
- c) 2.5 s
- d) 2.88 s
- e) 3.31 s

15) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.40E4 Pa
- b) 4.12E4 Pa
- c) 4.99E4 Pa
- d) 6.04E4 Pa
- e) 7.32E4 Pa

16) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

#### FE D2[edit]

1) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- a) 18.6 N.
- b) 21.4 N.
- c) 24.6 N.
- d) 28.3 N.
- e) 32.6 N.

2) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.83E4 Pa
- b) 3.43E4 Pa
- c) 4.16E4 Pa
- d) 5.03E4 Pa
- e) 6.10E4 Pa

3) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

4) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

- a) 1.4 s
- b) 1.61 s
- c) 1.86 s
- d) 2.13 s
- e) 2.45 s

5) If you toss a coin into the air, the acceleration on the way up is

- a) zero
- b) down
- c) up

- a) 54 m/s.
- b) 58 m/s.
- c) 62 m/s.
- d) 66 m/s.
- e) 70 m/s.

7) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 12.0 meters
- e) 11.0 meters

8) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

9) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 4.16 x 10
^{0}unit - b) 5.04 x 10
^{0}unit - c) 6.1 x 10
^{0}unit - d) 7.39 x 10
^{0}unit - e) 8.96 x 10
^{0}unit

- a) 7.50E+01 N
- b) 9.09E+01 N
- c) 1.10E+02 N
- d) 1.33E+02 N
- e) 1.62E+02 N

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 1.34 x 10
^{2}J - b) 4.23 x 10
^{2}J - c) 1.34 x 10
^{3}J - d) 4.23 x 10
^{3}J - e) 1.34 x 10
^{4}J

12) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

- a) 8.05 x 10
^{1}m/s - b) 9.76 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.43 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

- a) 1.97 m
- b) 2.11 m
- c) 2.25 m
- d) 2.41 m
- e) 2.58 m

14) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

15) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

- a) 1.26 x 10
^{1}m - b) 1.52 x 10
^{1}m - c) 1.84 x 10
^{1}m - d) 2.23 x 10
^{1}m - e) 2.7 x 10
^{1}m

16) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 5.70E3
- b) 6.90E3
- c) 8.36E3
- d) 1.01E4
- e) 1.23E4

### FE E0[edit]

1) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 6.0 meters
- c) 3.0 meters
- d) 7.0 meters
- e) 5.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- a) 0.43 s.
- b) 0.52 s.
- c) 0.62 s.
- d) 0.75 s.
- e) 0.9 s.

4) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) northeast
- b) southwest
- c) northwest
- d) north
- e) south

5) A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

- a) 14.5 N.
- b) 16.7 N.
- c) 19.2 N.
- d) 22.1 N.
- e) 25.4 N.

6) A sled of mass 5.4 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.2N at an angle of 58 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

- a) 2.6 s
- b) 2.99 s
- c) 3.43 s
- d) 3.95 s
- e) 4.54 s

*mass*is 2.5 kg. What is T

_{1}?

- a) 32.5 N.
- b) 39 N.
- c) 46.8 N.
- d) 56.2 N.
- e) 67.4 N.

- a) 1.312 kg
- b) 1.377 kg
- c) 1.446 kg
- d) 1.518 kg
- e) 1.594 kg

9) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.49m/s.
- b) 1.79m/s.
- c) 2.15m/s.
- d) 2.58m/s.
- e) 3.09m/s.

- a) 3.06E+01 N
- b) 3.71E+01 N
- c) 4.49E+01 N
- d) 5.44E+01 N
- e) 6.60E+01 N

11) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 11.1 seconds. What is the angular acceleration of the wheel?

- a) 9.21 x 10
^{0}m - b) 1.12 x 10
^{1}m - c) 1.35 x 10
^{1}m - d) 1.64 x 10
^{1}m - e) 1.98 x 10
^{1}m

12) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.88E4 Pa
- b) 4.70E4 Pa
- c) 5.70E4 Pa
- d) 6.90E4 Pa
- e) 8.37E4 Pa

13) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

14) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 8.8 x 10
^{1}m/s - b) 1.07 x 10
^{2}m/s - c) 1.29 x 10
^{2}m/s - d) 1.56 x 10
^{2}m/s - e) 1.9 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.8 x 10
^{-1} - b) 4.4 x 10
^{-1} - c) 5.2 x 10
^{-1} - d) 6.2 x 10
^{-1} - e) 7.3 x 10
^{-1}

_{1}= 3 kPa, P

_{2}= 5.4 kPa. The volumes are V

_{1}= 2.6m

^{3}and V

_{4}= 5m

^{3}. How much work is involved between 2 and 4?

- a) 1.01 x 10
^{2}J - b) 3.19 x 10
^{2}J - c) 1.01 x 10
^{3}J - d) 3.19 x 10
^{3}J - e) 1.01 x 10
^{4}J

#### FE E1[edit]

1) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.26E4 Pa
- b) 2.74E4 Pa
- c) 3.32E4 Pa
- d) 4.02E4 Pa
- e) 4.87E4 Pa

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

3) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 4.84E2
- b) 5.87E2
- c) 7.11E2
- d) 8.61E2
- e) 1.04E3

4) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.32m/s.
- b) 1.59m/s.
- c) 1.91m/s.
- d) 2.29m/s.
- e) 2.75m/s.

5) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

- a) 7.65 x 10
^{0}m - b) 9.27 x 10
^{0}m - c) 1.12 x 10
^{1}m - d) 1.36 x 10
^{1}m - e) 1.65 x 10
^{1}m

*mass*is 2.8 kg. What is T

_{1}?

- a) 21.2 N.
- b) 25.4 N.
- c) 30.5 N.
- d) 36.6 N.
- e) 43.9 N.

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 1.34 x 10
^{2}J - b) 4.23 x 10
^{2}J - c) 1.34 x 10
^{3}J - d) 4.23 x 10
^{3}J - e) 1.34 x 10
^{4}J

8) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

- a) 2.7 x 10
^{-1} - b) 3.2 x 10
^{-1} - c) 3.8 x 10
^{-1} - d) 4.5 x 10
^{-1} - e) 5.3 x 10
^{-1}

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 7.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 6.0 meters

10) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

- a) 15.4 N.
- b) 17.7 N.
- c) 20.4 N.
- d) 23.5 N.
- e) 27 N.

- a) 3.32E+01 N
- b) 4.02E+01 N
- c) 4.87E+01 N
- d) 5.90E+01 N
- e) 7.15E+01 N

12) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
- e) 0.739 kg

14) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) north
- b) northwest
- c) south
- d) southwest
- e) northeast

15) If a molecule with atomic mass equal to 2 amu has a speed of 245 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 4.24 x 10
^{1}m/s - b) 5.14 x 10
^{1}m/s - c) 6.22 x 10
^{1}m/s - d) 7.54 x 10
^{1}m/s - e) 9.13 x 10
^{1}m/s

16) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 42.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 10.4 m/s?

- a) 1.25 s
- b) 1.44 s
- c) 1.65 s
- d) 1.9 s
- e) 2.18 s

#### FE E2[edit]

1) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

- a) 2.7 x 10
^{-1} - b) 3.2 x 10
^{-1} - c) 3.8 x 10
^{-1} - d) 4.5 x 10
^{-1} - e) 5.3 x 10
^{-1}

2) A sled of mass 5.1 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 47.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

- a) 0.68 s
- b) 0.78 s
- c) 0.9 s
- d) 1.03 s
- e) 1.19 s

_{1}= 1.3 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 2 and 4?

- a) 8.7 x 10
^{2}J - b) 2.75 x 10
^{3}J - c) 8.7 x 10
^{3}J - d) 2.75 x 10
^{4}J - e) 8.7 x 10
^{4}J

4) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.49m/s.
- b) 1.79m/s.
- c) 2.15m/s.
- d) 2.58m/s.
- e) 3.09m/s.

5) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) north
- b) northwest
- c) south
- d) southwest
- e) northeast

6) A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

- a) 9.9 N.
- b) 11.4 N.
- c) 13.1 N.
- d) 15.1 N.
- e) 17.3 N.

- a) 4.20E+01 N
- b) 5.08E+01 N
- c) 6.16E+01 N
- d) 7.46E+01 N
- e) 9.04E+01 N

8) A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

- a) 5.45 x 10
^{0}m - b) 6.6 x 10
^{0}m - c) 7.99 x 10
^{0}m - d) 9.68 x 10
^{0}m - e) 1.17 x 10
^{1}m

- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
- e) 0.739 kg

10) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 6.0 meters
- d) 3.0 meters
- e) 4.0 meters

11) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.72E4 Pa
- b) 4.51E4 Pa
- c) 5.47E4 Pa
- d) 6.62E4 Pa
- e) 8.02E4 Pa

12) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

13) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

14) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 8.8 x 10
^{1}m/s - b) 1.07 x 10
^{2}m/s - c) 1.29 x 10
^{2}m/s - d) 1.56 x 10
^{2}m/s - e) 1.9 x 10
^{2}m/s

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

- a) 0.26 s.
- b) 0.31 s.
- c) 0.37 s.
- d) 0.44 s.
- e) 0.53 s.

### FE F0[edit]

1) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 8.0 meters
- c) 6.0 meters
- d) 9.0 meters
- e) 7.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

4) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) west
- b) zero
- c) south
- d) east
- e) north

5) A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

- a) 14.5 N.
- b) 16.7 N.
- c) 19.2 N.
- d) 22.1 N.
- e) 25.4 N.

6) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.3N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- a) 21.31 N.
- b) 24.5 N.
- c) 28.18 N.
- d) 32.4 N.
- e) 37.26 N.

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- a) 27.32 N.
- b) 31.42 N.
- c) 36.13 N.
- d) 41.55 N.
- e) 47.78 N.

- a) 1.83 m
- b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

- a) 34 m/s.
- b) 36 m/s.
- c) 39 m/s.
- d) 41 m/s.
- e) 44 m/s.

_{1}= 6.1m, L

_{2}= 3.2m and L

_{3}= 7.2m. What is F

_{2}if F

_{1}=0.77N and F

_{3}=0N?

- a) 8.25E-01 N
- b) 1.00E+00 N
- c) 1.21E+00 N
- d) 1.47E+00 N
- e) 1.78E+00 N

^{2}. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 1.48 x 10
^{1}s^{-2} - b) 1.8 x 10
^{1}s^{-2} - c) 2.18 x 10
^{1}s^{-2} - d) 2.64 x 10
^{1}s^{-2} - e) 3.19 x 10
^{1}s^{-2}

12) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.82E3 N
- b) 7.06E3 N
- c) 8.55E3 N
- d) 1.04E4 N
- e) 1.25E4 N

13) A large cylinder is filled with water so that the bottom is 6.4 m below the waterline. At the bottom is a small hole with a diameter of 9.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 9.24E0 m/s
- b) 1.12E1 m/s
- c) 1.36E1 m/s
- d) 1.64E1 m/s
- e) 1.99E1 m/s

14) What is the root-mean-square of 36, 6, and -23?

- a) 1.763 x 10
^{1} - b) 1.978 x 10
^{1} - c) 2.22 x 10
^{1} - d) 2.491 x 10
^{1} - e) 2.795 x 10
^{1}

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

#### FE F1[edit]

_{1}= 6.1m, L

_{2}= 4m and L

_{3}= 7.5m. What is F

_{2}if F

_{1}=0.74N and F

_{3}=0N?

- a) 6.35E-01 N
- b) 7.69E-01 N
- c) 9.31E-01 N
- d) 1.13E+00 N
- e) 1.37E+00 N

2) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 7.98E0 m/s
- b) 9.67E0 m/s
- c) 1.17E1 m/s
- d) 1.42E1 m/s
- e) 1.72E1 m/s

3) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

- a) 21.3 N.
- b) 24.5 N.
- c) 28.2 N.
- d) 32.4 N.
- e) 37.3 N.

4) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.7N at an angle of 41 degress above the horizontal. What is the magnitude of the friction?

- a) 24.94 N.
- b) 28.68 N.
- c) 32.98 N.
- d) 37.93 N.
- e) 43.62 N.

^{2}. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 1.48 x 10
^{1}s^{-2} - b) 1.8 x 10
^{1}s^{-2} - c) 2.18 x 10
^{1}s^{-2} - d) 2.64 x 10
^{1}s^{-2} - e) 3.19 x 10
^{1}s^{-2}

6) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

7) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

8) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) zero
- b) east
- c) south
- d) west
- e) north

_{1}= 2.5 kPa, P

_{2}= 4.5 kPa. The volumes are V

_{1}= 1.4m

^{3}and V

_{4}= 2.9m

^{3}. How much work is done in in one cycle?

- a) 4.74 x 10
^{2}J - b) 1.5 x 10
^{3}J - c) 4.74 x 10
^{3}J - d) 1.5 x 10
^{4}J - e) 4.74 x 10
^{4}J

10) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 9.72E3 N
- b) 1.18E4 N
- c) 1.43E4 N
- d) 1.73E4 N
- e) 2.09E4 N

_{1}is 20 degrees , and θ

_{3}is 37 degrees . The mass has a

*weight*of 41 N. What is the tension, T

_{1}?

- a) 29.52 N.
- b) 33.95 N.
- c) 39.04 N.
- d) 44.9 N.
- e) 51.63 N.

12) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

13) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 6.0 meters

- a) 55 m/s.
- b) 58 m/s.
- c) 62 m/s.
- d) 67 m/s.
- e) 71 m/s.

- a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

16) What is the root-mean-square of 45, 23, and -43?

- a) 3.414 x 10
^{1} - b) 3.831 x 10
^{1} - c) 4.298 x 10
^{1} - d) 4.823 x 10
^{1} - e) 5.411 x 10
^{1}

#### FE F2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 6.0 meters
- d) 9.0 meters
- e) 8.0 meters

- a) 1.83 m
- b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

3) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

4) A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

- a) 9.9 N.
- b) 11.4 N.
- c) 13.1 N.
- d) 15.1 N.
- e) 17.3 N.

5) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) north
- b) east
- c) zero
- d) west
- e) south

6) What is the root-mean-square of 5, 7, and 0?

- a) 4.426 x 10
^{0} - b) 4.967 x 10
^{0} - c) 5.573 x 10
^{0} - d) 6.253 x 10
^{0} - e) 7.015 x 10
^{0}

7) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 8.42E0 m/s
- b) 1.02E1 m/s
- c) 1.24E1 m/s
- d) 1.50E1 m/s
- e) 1.81E1 m/s

8) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.96E3 N
- b) 7.21E3 N
- c) 8.74E3 N
- d) 1.06E4 N
- e) 1.28E4 N

9) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- a) 27.11 N.
- b) 31.17 N.
- c) 35.85 N.
- d) 41.23 N.
- e) 47.41 N.

_{1}= 2.3 kPa, P

_{2}= 4.8 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 3.5m

^{3}. How much work is done in in one cycle?

- a) 1.75 x 10
^{1}J - b) 5.53 x 10
^{1}J - c) 1.75 x 10
^{2}J - d) 5.53 x 10
^{2}J - e) 1.75 x 10
^{3}J

_{1}is 16 degrees , and θ

_{3}is 35 degrees . The mass has a 'weight' of 28 N. What is the tension, T

_{1}?

- a) 19.41 N.
- b) 22.32 N.
- c) 25.66 N.
- d) 29.51 N.
- e) 33.94 N.

^{2}. Two identical disks, each with mass 8.1 kg are attached. The larger disk has a diameter of 0.99 m, and the smaller disk has a diameter of 0.63 m. If a force of 87 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 9.12 x 10
^{0}s^{-2} - b) 1.11 x 10
^{1}s^{-2} - c) 1.34 x 10
^{1}s^{-2} - d) 1.62 x 10
^{1}s^{-2} - e) 1.97 x 10
^{1}s^{-2}

13) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

_{1}= 5.5m, L

_{2}= 3.7m and L

_{3}= 8.6m. What is F

_{2}if F

_{1}=0.51N and F

_{3}=0N?

- a) 4.26E-01 N
- b) 5.16E-01 N
- c) 6.26E-01 N
- d) 7.58E-01 N
- e) 9.18E-01 N

### FE G0[edit]

1) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 6.0 meters
- c) 3.0 meters
- d) 7.0 meters
- e) 4.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

4) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- a) the cloth is more slippery when it is pulled quickly
- b) the cloth is accelerating for such a brief time that there is little motion
- c) objects don't begin to accelerate until after the force has been applied

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

6) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 18.1N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2 m/s^{2}?

- a) 74 degrees
- b) 85.1 degrees
- c) 97.8 degrees
- d) 112.5 degrees
- e) 129.4 degrees

*mass*is 2.7 kg. What is T

_{2}?

- a) 36.74 N.
- b) 42.25 N.
- c) 48.58 N.
- d) 55.87 N.
- e) 64.25 N.

- a) 0.157 kg
- b) 0.165 kg
- c) 0.173 kg
- d) 0.182 kg
- e) 0.191 kg

9) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

- a) 741 kg
- b) 889 kg
- c) 1067 kg
- d) 1280 kg
- e) 1537 kg

- a) 3.04E+01 N
- b) 3.68E+01 N
- c) 4.46E+01 N
- d) 5.40E+01 N
- e) 6.54E+01 N

11) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the moment of inertia?

- a) 2.4 x 10
^{-1}kg m^{2}/s^{2} - b) 2.9 x 10
^{-1}kg m^{2}/s^{2} - c) 3.52 x 10
^{-1}kg m^{2}/s^{2} - d) 4.26 x 10
^{-1}kg m^{2}/s^{2} - e) 5.16 x 10
^{-1}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 1.11E4 N
- b) 1.40E4 N
- c) 1.76E4 N
- d) 2.22E4 N
- e) 2.79E4 N

13) A large cylinder is filled with water so that the bottom is 6.8 m below the waterline. At the bottom is a small hole with a diameter of 7.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 9.53E0 m/s
- b) 1.15E1 m/s
- c) 1.40E1 m/s
- d) 1.69E1 m/s
- e) 2.05E1 m/s

14) What is the root-mean-square of 45, 23, and -43?

- a) 3.414 x 10
^{1} - b) 3.831 x 10
^{1} - c) 4.298 x 10
^{1} - d) 4.823 x 10
^{1} - e) 5.411 x 10
^{1}

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.5 x 10
^{0}unit - b) 1.81 x 10
^{0}unit - c) 2.2 x 10
^{0}unit - d) 2.66 x 10
^{0}unit - e) 3.23 x 10
^{0}unit

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 3.6 x 10
^{3}J - b) 1.14 x 10
^{4}J - c) 3.6 x 10
^{4}J - d) 1.14 x 10
^{5}J - e) 3.6 x 10
^{5}J

#### FE G1[edit]

- a) 0.187 kg
- b) 0.196 kg
- c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

2) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 4.0 meters
- d) 6.0 meters
- e) 3.0 meters

3) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- a) 1507 kg
- b) 1809 kg
- c) 2170 kg
- d) 2604 kg
- e) 3125 kg

4) What is the root-mean-square of 36, 6, and -23?

- a) 1.763 x 10
^{1} - b) 1.978 x 10
^{1} - c) 2.22 x 10
^{1} - d) 2.491 x 10
^{1} - e) 2.795 x 10
^{1}

5) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- a) the cloth is accelerating for such a brief time that there is little motion
- b) objects don't begin to accelerate until after the force has been applied
- c) the cloth is more slippery when it is pulled quickly

6) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 3.11E3 N
- b) 3.92E3 N
- c) 4.93E3 N
- d) 6.21E3 N
- e) 7.81E3 N

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- a) 0.43 s.
- b) 0.52 s.
- c) 0.62 s.
- d) 0.75 s.
- e) 0.9 s.

8) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

- a) 4.6 m/s
^{2}. - b) 5.3 m/s
^{2}. - c) 6.1 m/s
^{2}. - d) 7 m/s
^{2}. - e) 8.1 m/s
^{2}.

- a) 9.31E+01 N
- b) 1.13E+02 N
- c) 1.37E+02 N
- d) 1.65E+02 N
- e) 2.01E+02 N

10) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

11) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 5.05 x 10
^{0}unit - b) 6.11 x 10
^{0}unit - c) 7.41 x 10
^{0}unit - d) 8.97 x 10
^{0}unit - e) 1.09 x 10
^{1}unit

12) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

- a) 1.89 x 10
^{-1}kg m^{2}/s^{2} - b) 2.29 x 10
^{-1}kg m^{2}/s^{2} - c) 2.77 x 10
^{-1}kg m^{2}/s^{2} - d) 3.36 x 10
^{-1}kg m^{2}/s^{2} - e) 4.07 x 10
^{-1}kg m^{2}/s^{2}

13) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 7.98E0 m/s
- b) 9.67E0 m/s
- c) 1.17E1 m/s
- d) 1.42E1 m/s
- e) 1.72E1 m/s

14) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- a) 53.7 degrees
- b) 61.8 degrees
- c) 71 degrees
- d) 81.7 degrees
- e) 93.9 degrees

_{1}= 2 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 3.1m

^{3}. How much work is involved between 2 and 4?

- a) 1.64 x 10
^{3}J - b) 5.2 x 10
^{3}J - c) 1.64 x 10
^{4}J - d) 5.2 x 10
^{4}J - e) 1.64 x 10
^{5}J

#### FE G2[edit]

1) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 5.0 meters
- c) 6.0 meters
- d) 7.0 meters
- e) 3.0 meters

- a) 2.71E+01 N
- b) 3.29E+01 N
- c) 3.98E+01 N
- d) 4.83E+01 N
- e) 5.85E+01 N

3) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

- a) 741 kg
- b) 889 kg
- c) 1067 kg
- d) 1280 kg
- e) 1537 kg

4) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- a) 53.3 degrees
- b) 61.3 degrees
- c) 70.5 degrees
- d) 81.1 degrees
- e) 93.3 degrees

5) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- a) the cloth is accelerating for such a brief time that there is little motion
- b) the cloth is more slippery when it is pulled quickly
- c) objects don't begin to accelerate until after the force has been applied

6) A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

- a) 6.4 m/s
^{2}. - b) 7.3 m/s
^{2}. - c) 8.4 m/s
^{2}. - d) 9.7 m/s
^{2}. - e) 11.1 m/s
^{2}.

*mass*is 2.8 kg. What is T

_{2}?

- a) 50.38 N.
- b) 57.94 N.
- c) 66.63 N.
- d) 76.62 N.
- e) 88.12 N.

- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
- e) 0.739 kg

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 3.6 x 10
^{3}J - b) 1.14 x 10
^{4}J - c) 3.6 x 10
^{4}J - d) 1.14 x 10
^{5}J - e) 3.6 x 10
^{5}J

10) What is the root-mean-square of 5, 7, and 0?

- a) 4.426 x 10
^{0} - b) 4.967 x 10
^{0} - c) 5.573 x 10
^{0} - d) 6.253 x 10
^{0} - e) 7.015 x 10
^{0}

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

12) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 3.11E3 N
- b) 3.92E3 N
- c) 4.93E3 N
- d) 6.21E3 N
- e) 7.81E3 N

13) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

14) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

- a) 1.89 x 10
^{-1}kg m^{2}/s^{2} - b) 2.29 x 10
^{-1}kg m^{2}/s^{2} - c) 2.77 x 10
^{-1}kg m^{2}/s^{2} - d) 3.36 x 10
^{-1}kg m^{2}/s^{2} - e) 4.07 x 10
^{-1}kg m^{2}/s^{2}

15) A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 2.37 x 10
^{0}unit - b) 2.87 x 10
^{0}unit - c) 3.47 x 10
^{0}unit - d) 4.21 x 10
^{0}unit - e) 5.1 x 10
^{0}unit

16) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 8.42E0 m/s
- b) 1.02E1 m/s
- c) 1.24E1 m/s
- d) 1.50E1 m/s
- e) 1.81E1 m/s

### FE H0[edit]

1) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

2) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 12.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

4) If you toss a coin into the air, the acceleration on the way down is

- a) up
- b) down
- c) zero

5) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

- a) 9.2 m/s
^{2}. - b) 10.5 m/s
^{2}. - c) 12.1 m/s
^{2}. - d) 13.9 m/s
^{2}. - e) 16 m/s
^{2}.

6) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 42.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 10.4 m/s?

- a) 1.25 s
- b) 1.44 s
- c) 1.65 s
- d) 1.9 s
- e) 2.18 s

*mass*is 2.7 kg. What is T

_{1}?

- a) 40.7 N.
- b) 48.9 N.
- c) 58.7 N.
- d) 70.4 N.
- e) 84.5 N.

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

- a) 32 m/s.
- b) 35 m/s.
- c) 37 m/s.
- d) 40 m/s.
- e) 43 m/s.

- a) 1.93E+01 N
- b) 2.43E+01 N
- c) 3.06E+01 N
- d) 3.86E+01 N
- e) 4.86E+01 N

11) A car with a tire radius of 0.35 m accelerates from 0 to 32 m/s in 8.8 seconds. What is the angular acceleration of the wheel?

- a) 5.84 x 10
^{0}m - b) 7.08 x 10
^{0}m - c) 8.58 x 10
^{0}m - d) 1.04 x 10
^{1}m - e) 1.26 x 10
^{1}m

12) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.18E3 N
- b) 6.28E3 N
- c) 7.60E3 N
- d) 9.21E3 N
- e) 1.12E4 N

13) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 4.06E2 mm
- b) 4.92E2 mm
- c) 5.96E2 mm
- d) 7.22E2 mm
- e) 8.74E2 mm

14) If a molecule with atomic mass equal to 6 amu has a speed of 217 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 30 ?

- a) 5.46 x 10
^{1}m/s - b) 6.61 x 10
^{1}m/s - c) 8.01 x 10
^{1}m/s - d) 9.7 x 10
^{1}m/s - e) 1.18 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

#### FE H1[edit]

1) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 12.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 9.0 meters

- a) 43 m/s.
- b) 46 m/s.
- c) 49 m/s.
- d) 52 m/s.
- e) 56 m/s.

3) If you toss a coin into the air, the acceleration on the way down is

- a) zero
- b) up
- c) down

_{1}= 1.5 kPa, P

_{2}= 3 kPa. The volumes are V

_{1}= 2.4m

^{3}and V

_{4}= 4.5m

^{3}. What is the temperature at step 4?

- a) 1.6 x 10
^{1}K - b) 5.07 x 10
^{1}K - c) 1.6 x 10
^{2}K - d) 5.07 x 10
^{2}K - e) 1.6 x 10
^{3}K

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

6) A sled of mass 5.1 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 47.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

- a) 0.68 s
- b) 0.78 s
- c) 0.9 s
- d) 1.03 s
- e) 1.19 s

7) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

- a) 4.6 m/s
^{2}. - b) 5.3 m/s
^{2}. - c) 6.1 m/s
^{2}. - d) 7 m/s
^{2}. - e) 8.1 m/s
^{2}.

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

9) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

10) If a molecule with atomic mass equal to 9 amu has a speed of 445 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 25 ?

- a) 1.82 x 10
^{2}m/s - b) 2.2 x 10
^{2}m/s - c) 2.67 x 10
^{2}m/s - d) 3.23 x 10
^{2}m/s - e) 3.92 x 10
^{2}m/s

11) A car with a tire radius of 0.31 m accelerates from 0 to 39 m/s in 9.3 seconds. What is the angular acceleration of the wheel?

- a) 1.12 x 10
^{1}m - b) 1.35 x 10
^{1}m - c) 1.64 x 10
^{1}m - d) 1.99 x 10
^{1}m - e) 2.41 x 10
^{1}m

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

13) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 3.10E1 mm
- b) 3.76E1 mm
- c) 4.55E1 mm
- d) 5.51E1 mm
- e) 6.68E1 mm

14) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 9.72E3 N
- b) 1.18E4 N
- c) 1.43E4 N
- d) 1.73E4 N
- e) 2.09E4 N

*mass*is 3.1 kg. What is T

_{1}?

- a) 34.8 N.
- b) 41.8 N.
- c) 50.2 N.
- d) 60.2 N.
- e) 72.3 N.

- a) 3.59E+01 N
- b) 4.52E+01 N
- c) 5.69E+01 N
- d) 7.16E+01 N
- e) 9.02E+01 N

#### FE H2[edit]

1) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

- a) 6.62 x 10
^{4}J - b) 7.8 x 10
^{4}J - c) 9.19 x 10
^{4}J - d) 1.08 x 10
^{5}J - e) 1.28 x 10
^{5}J

2) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

3) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 12.0 meters

4) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

- a) 1.31 x 10
^{2}m/s - b) 1.59 x 10
^{2}m/s - c) 1.93 x 10
^{2}m/s - d) 2.33 x 10
^{2}m/s - e) 2.83 x 10
^{2}m/s

5) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- a) 1.05 s
- b) 1.21 s
- c) 1.39 s
- d) 1.6 s
- e) 1.84 s

*mass*is 2.9 kg. What is T

_{1}?

- a) 30.9 N.
- b) 37.1 N.
- c) 44.5 N.
- d) 53.5 N.
- e) 64.1 N.

7) A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

- a) 8.2 m/s
^{2}. - b) 9.4 m/s
^{2}. - c) 10.8 m/s
^{2}. - d) 12.4 m/s
^{2}. - e) 14.3 m/s
^{2}.

8) A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel?

- a) 5.35 x 10
^{0}m - b) 6.49 x 10
^{0}m - c) 7.86 x 10
^{0}m - d) 9.52 x 10
^{0}m - e) 1.15 x 10
^{1}m

9) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 4.06E2 mm
- b) 4.92E2 mm
- c) 5.96E2 mm
- d) 7.22E2 mm
- e) 8.74E2 mm

- a) 34 m/s.
- b) 36 m/s.
- c) 39 m/s.
- d) 41 m/s.
- e) 44 m/s.

11) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.56E3 N
- b) 6.73E3 N
- c) 8.16E3 N
- d) 9.89E3 N
- e) 1.20E4 N

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

- a) 3.65E+01 N
- b) 4.60E+01 N
- c) 5.79E+01 N
- d) 7.28E+01 N
- e) 9.17E+01 N

14) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

15) If you toss a coin into the air, the acceleration on the way down is

- a) up
- b) zero
- c) down

### FE I0[edit]

1) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

2) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 1.0 meters
- b) 3.0 meters
- c) 5.0 meters
- d) 4.0 meters
- e) 2.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

4) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) north
- b) west
- c) south
- d) zero
- e) east

5) A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

- a) 6.9 m/s
^{2}. - b) 8 m/s
^{2}. - c) 9.2 m/s
^{2}. - d) 10.6 m/s
^{2}. - e) 12.1 m/s
^{2}.

6) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- a) 53.7 degrees
- b) 61.8 degrees
- c) 71 degrees
- d) 81.7 degrees
- e) 93.9 degrees

_{1}is 20 degrees , and θ

_{3}is 37 degrees . The mass has a

*weight*of 41 N. What is the tension, T

_{1}?

- a) 29.52 N.
- b) 33.95 N.
- c) 39.04 N.
- d) 44.9 N.
- e) 51.63 N.

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

- a) 39 m/s.
- b) 42 m/s.
- c) 44 m/s.
- d) 48 m/s.
- e) 51 m/s.

- a) 3.59E+01 N
- b) 4.51E+01 N
- c) 5.68E+01 N
- d) 7.15E+01 N
- e) 9.01E+01 N

11) A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

- a) 5.45 x 10
^{0}m - b) 6.6 x 10
^{0}m - c) 7.99 x 10
^{0}m - d) 9.68 x 10
^{0}m - e) 1.17 x 10
^{1}m

12) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.07E4 Pa
- b) 3.72E4 Pa
- c) 4.51E4 Pa
- d) 5.46E4 Pa
- e) 6.62E4 Pa

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

14) If a molecule with atomic mass equal to 8 amu has a speed of 331 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

- a) 8.36 x 10
^{1}m/s - b) 1.01 x 10
^{2}m/s - c) 1.23 x 10
^{2}m/s - d) 1.49 x 10
^{2}m/s - e) 1.8 x 10
^{2}m/s

15) A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 2.37 x 10
^{0}unit - b) 2.87 x 10
^{0}unit - c) 3.47 x 10
^{0}unit - d) 4.21 x 10
^{0}unit - e) 5.1 x 10
^{0}unit

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

#### FE I1[edit]

1) A car with a tire radius of 0.37 m accelerates from 0 to 28 m/s in 11.9 seconds. What is the angular acceleration of the wheel?

- a) 6.36 x 10
^{0}m - b) 7.7 x 10
^{0}m - c) 9.33 x 10
^{0}m - d) 1.13 x 10
^{1}m - e) 1.37 x 10
^{1}m

2) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

3) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.74E4 Pa
- b) 3.32E4 Pa
- c) 4.02E4 Pa
- d) 4.87E4 Pa
- e) 5.90E4 Pa

_{1}is 17 degrees , and θ

_{3}is 29 degrees . The mass has a

*weight*of 29 N. What is the tension, T

_{1}?

- a) 20.16 N.
- b) 23.18 N.
- c) 26.66 N.
- d) 30.66 N.
- e) 35.26 N.

5) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- a) 53.3 degrees
- b) 61.3 degrees
- c) 70.5 degrees
- d) 81.1 degrees
- e) 93.3 degrees

6) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

- a) 9.2 m/s
^{2}. - b) 10.5 m/s
^{2}. - c) 12.1 m/s
^{2}. - d) 13.9 m/s
^{2}. - e) 16 m/s
^{2}.

- a) 1.07E+02 N
- b) 1.35E+02 N
- c) 1.70E+02 N
- d) 2.14E+02 N
- e) 2.70E+02 N

8) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 8.8 x 10
^{1}m/s - b) 1.07 x 10
^{2}m/s - c) 1.29 x 10
^{2}m/s - d) 1.56 x 10
^{2}m/s - e) 1.9 x 10
^{2}m/s

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 5.0 meters
- c) 2.0 meters
- d) 1.0 meters
- e) 3.0 meters

11) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

12) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
- c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

- a) 39 m/s.
- b) 42 m/s.
- c) 44 m/s.
- d) 48 m/s.
- e) 51 m/s.

15) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) south
- b) east
- c) north
- d) west
- e) zero

16) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 2.16 x 10
^{0}unit - b) 2.62 x 10
^{0}unit - c) 3.17 x 10
^{0}unit - d) 3.84 x 10
^{0}unit - e) 4.65 x 10
^{0}unit

#### FE I2[edit]

1) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 4.16 x 10
^{0}unit - b) 5.04 x 10
^{0}unit - c) 6.1 x 10
^{0}unit - d) 7.39 x 10
^{0}unit - e) 8.96 x 10
^{0}unit

2) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) zero
- b) north
- c) east
- d) south
- e) west

- a) 34 m/s.
- b) 36 m/s.
- c) 39 m/s.
- d) 41 m/s.
- e) 44 m/s.

4) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s^{2}?

- a) 36.3 degrees
- b) 41.7 degrees
- c) 47.9 degrees
- d) 55.1 degrees
- e) 63.4 degrees

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- a) 27.32 N.
- b) 31.42 N.
- c) 36.13 N.
- d) 41.55 N.
- e) 47.78 N.

6) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.26E5
- b) 1.53E5
- c) 1.85E5
- d) 2.24E5
- e) 2.72E5

7) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 1.0 meters
- b) 5.0 meters
- c) 2.0 meters
- d) 4.0 meters
- e) 3.0 meters

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 1.81 x 10
^{2}J - b) 5.72 x 10
^{2}J - c) 1.81 x 10
^{3}J - d) 5.72 x 10
^{3}J - e) 1.81 x 10
^{4}J

10) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

- a) 7.65 x 10
^{0}m - b) 9.27 x 10
^{0}m - c) 1.12 x 10
^{1}m - d) 1.36 x 10
^{1}m - e) 1.65 x 10
^{1}m

11) If a molecule with atomic mass equal to 9 amu has a speed of 445 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 25 ?

- a) 1.82 x 10
^{2}m/s - b) 2.2 x 10
^{2}m/s - c) 2.67 x 10
^{2}m/s - d) 3.23 x 10
^{2}m/s - e) 3.92 x 10
^{2}m/s

12) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

13) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

14) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.07E4 Pa
- b) 3.72E4 Pa
- c) 4.51E4 Pa
- d) 5.46E4 Pa
- e) 6.62E4 Pa

15) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- a) 3.8 m/s
^{2}. - b) 4.3 m/s
^{2}. - c) 5 m/s
^{2}. - d) 5.7 m/s
^{2}. - e) 6.6 m/s
^{2}.

- a) 3.05E+01 N
- b) 3.85E+01 N
- c) 4.84E+01 N
- d) 6.09E+01 N
- e) 7.67E+01 N

### FE J0[edit]

1) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 8.0 meters
- d) 6.0 meters
- e) 9.0 meters

3) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

4) If you toss a coin into the air, the velocity on the way up is

- a) up
- b) zero
- c) down

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

6) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 40.1N at an angle of 42 degress above the horizontal. What is the normal force?

- a) 29.03 N.
- b) 33.38 N.
- c) 38.39 N.
- d) 44.15 N.
- e) 50.77 N.

_{1}is 17 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 46 N. What is the weight?

- a) 20.1 N.
- b) 23.1 N.
- c) 26.6 N.
- d) 30.6 N.
- e) 35.2 N.

- a) 2.39 m
- b) 2.56 m
- c) 2.74 m
- d) 2.93 m
- e) 3.14 m

- a) 39 m/s.
- b) 42 m/s.
- c) 44 m/s.
- d) 48 m/s.
- e) 51 m/s.

- a) 3.10E+01 N
- b) 3.76E+01 N
- c) 4.55E+01 N
- d) 5.51E+01 N
- e) 6.68E+01 N

11) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

- a) 3.15 x 10
^{-1}kg m^{2}/s^{2} - b) 3.81 x 10
^{-1}kg m^{2}/s^{2} - c) 4.62 x 10
^{-1}kg m^{2}/s^{2} - d) 5.6 x 10
^{-1}kg m^{2}/s^{2} - e) 6.78 x 10
^{-1}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 1.09E4 N
- b) 1.32E4 N
- c) 1.60E4 N
- d) 1.94E4 N
- e) 2.35E4 N

13) A large cylinder is filled with water so that the bottom is 8.9 m below the waterline. At the bottom is a small hole with a diameter of 7.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 1.09E1 m/s
- b) 1.32E1 m/s
- c) 1.60E1 m/s
- d) 1.94E1 m/s
- e) 2.35E1 m/s

14) What is the root-mean-square of 11, 36, and 4?

- a) 1.948 x 10
^{1} - b) 2.186 x 10
^{1} - c) 2.452 x 10
^{1} - d) 2.751 x 10
^{1} - e) 3.087 x 10
^{1}

15) A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 2.37 x 10
^{0}unit - b) 2.87 x 10
^{0}unit - c) 3.47 x 10
^{0}unit - d) 4.21 x 10
^{0}unit - e) 5.1 x 10
^{0}unit

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- a) 1.67 x 10
^{3}J - b) 5.27 x 10
^{3}J - c) 1.67 x 10
^{4}J - d) 5.27 x 10
^{4}J - e) 1.67 x 10
^{5}J

#### FE J1[edit]

1) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.56E3 N
- b) 6.73E3 N
- c) 8.16E3 N
- d) 9.89E3 N
- e) 1.20E4 N

2) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

3) If you toss a coin into the air, the velocity on the way up is

- a) zero
- b) up
- c) down

4) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 43N at an angle of 55 degress above the horizontal. What is the normal force?

- a) 10.99 N.
- b) 12.64 N.
- c) 14.54 N.
- d) 16.72 N.
- e) 19.22 N.

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 8.0 meters
- d) 6.0 meters
- e) 9.0 meters

- a) 7.15E+01 N
- b) 8.67E+01 N
- c) 1.05E+02 N
- d) 1.27E+02 N
- e) 1.54E+02 N

7) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 5.05 x 10
^{0}unit - b) 6.11 x 10
^{0}unit - c) 7.41 x 10
^{0}unit - d) 8.97 x 10
^{0}unit - e) 1.09 x 10
^{1}unit

8) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the moment of inertia?

- a) 2.25 x 10
^{-1}kg m^{2}/s^{2} - b) 2.73 x 10
^{-1}kg m^{2}/s^{2} - c) 3.31 x 10
^{-1}kg m^{2}/s^{2} - d) 4.01 x 10
^{-1}kg m^{2}/s^{2} - e) 4.85 x 10
^{-1}kg m^{2}/s^{2}

- a) 1.83 m
- b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

10) A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

- a) 6.9 m/s
^{2}. - b) 8 m/s
^{2}. - c) 9.2 m/s
^{2}. - d) 10.6 m/s
^{2}. - e) 12.1 m/s
^{2}.

11) What is the root-mean-square of -46, -13, and 17?

- a) 2.074 x 10
^{1} - b) 2.327 x 10
^{1} - c) 2.611 x 10
^{1} - d) 2.929 x 10
^{1} - e) 3.287 x 10
^{1}

12) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 7.98E0 m/s
- b) 9.67E0 m/s
- c) 1.17E1 m/s
- d) 1.42E1 m/s
- e) 1.72E1 m/s

_{1}is 17 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 46 N. What is the weight?

- a) 20.1 N.
- b) 23.1 N.
- c) 26.6 N.
- d) 30.6 N.
- e) 35.2 N.

14) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 1.81 x 10
^{2}J - b) 5.72 x 10
^{2}J - c) 1.81 x 10
^{3}J - d) 5.72 x 10
^{3}J - e) 1.81 x 10
^{4}J

#### FE J2[edit]

1) What is the root-mean-square of 6, -2, and -44?

- a) 1.619 x 10
^{1} - b) 1.817 x 10
^{1} - c) 2.039 x 10
^{1} - d) 2.287 x 10
^{1} - e) 2.566 x 10
^{1}

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 9.0 meters
- c) 5.0 meters
- d) 7.0 meters
- e) 8.0 meters

3) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

- a) 1.23 m
- b) 1.32 m
- c) 1.41 m
- d) 1.51 m
- e) 1.62 m

5) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the moment of inertia?

- a) 2.87 x 10
^{-1}kg m^{2}/s^{2} - b) 3.48 x 10
^{-1}kg m^{2}/s^{2} - c) 4.22 x 10
^{-1}kg m^{2}/s^{2} - d) 5.11 x 10
^{-1}kg m^{2}/s^{2} - e) 6.19 x 10
^{-1}kg m^{2}/s^{2}

- a) 39 m/s.
- b) 42 m/s.
- c) 44 m/s.
- d) 48 m/s.
- e) 51 m/s.

7) A large cylinder is filled with water so that the bottom is 6.8 m below the waterline. At the bottom is a small hole with a diameter of 7.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 9.53E0 m/s
- b) 1.15E1 m/s
- c) 1.40E1 m/s
- d) 1.69E1 m/s
- e) 2.05E1 m/s

8) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 7.00E3 N
- b) 8.48E3 N
- c) 1.03E4 N
- d) 1.24E4 N
- e) 1.51E4 N

- a) 3.10E+01 N
- b) 3.76E+01 N
- c) 4.55E+01 N
- d) 5.51E+01 N
- e) 6.68E+01 N

10) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- a) 18.6 N.
- b) 21.4 N.
- c) 24.6 N.
- d) 28.3 N.
- e) 32.6 N.

11) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 2.16 x 10
^{0}unit - b) 2.62 x 10
^{0}unit - c) 3.17 x 10
^{0}unit - d) 3.84 x 10
^{0}unit - e) 4.65 x 10
^{0}unit

12) A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

- a) 8.2 m/s
^{2}. - b) 9.4 m/s
^{2}. - c) 10.8 m/s
^{2}. - d) 12.4 m/s
^{2}. - e) 14.3 m/s
^{2}.

_{1}= 1.5 kPa, P

_{2}= 2.7 kPa. The volumes are V

_{1}= 1.9m

^{3}and V

_{4}= 3.3m

^{3}. How much work is involved between 1 and 4?

- a) 6.64 x 10
^{2}J - b) 2.1 x 10
^{3}J - c) 6.64 x 10
^{3}J - d) 2.1 x 10
^{4}J - e) 6.64 x 10
^{4}J

14) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

15) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

- a) 16.81 N.
- b) 19.33 N.
- c) 22.23 N.
- d) 25.57 N.
- e) 29.4 N.

16) If you toss a coin into the air, the velocity on the way up is

- a) down
- b) zero
- c) up

### FE K0[edit]

1) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

2) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 22.0 meters
- c) 20.0 meters
- d) 21.0 meters
- e) 23.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

4) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) northwest
- b) southwest
- c) northeast
- d) south
- e) north

5) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- a) 6.6 N.
- b) 7.6 N.
- c) 8.7 N.
- d) 10 N.
- e) 11.5 N.

6) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 16.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s^{2}?

- a) 34.6 degrees
- b) 39.8 degrees
- c) 45.8 degrees
- d) 52.7 degrees
- e) 60.6 degrees

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- a) 10.01 N.
- b) 11.51 N.
- c) 13.23 N.
- d) 15.22 N.
- e) 17.5 N.

- a) 0.750 kg
- b) 0.788 kg
- c) 0.827 kg
- d) 0.868 kg
- e) 0.912 kg

9) On object of mass 2.2 kg that is moving at a velocity of 28m/s collides with a stationary object of mass 18.48 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.72m/s.
- b) 2.07m/s.
- c) 2.48m/s.
- d) 2.98m/s.
- e) 3.57m/s.

_{1}= 5.7m, L

_{2}= 4.5m and L

_{3}= 8.2m. What is F

_{1}if F

_{2}=8.6N and F

_{3}=6.7N?

- a) 1.36E+01 N
- b) 1.64E+01 N
- c) 1.99E+01 N
- d) 2.41E+01 N
- e) 2.92E+01 N

^{2}. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 1.48 x 10
^{1}s^{-2} - b) 1.8 x 10
^{1}s^{-2} - c) 2.18 x 10
^{1}s^{-2} - d) 2.64 x 10
^{1}s^{-2} - e) 3.19 x 10
^{1}s^{-2}

12) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.23E4 Pa
- b) 3.92E4 Pa
- c) 4.75E4 Pa
- d) 5.75E4 Pa
- e) 6.97E4 Pa

13) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 7.98E0 m/s
- b) 9.67E0 m/s
- c) 1.17E1 m/s
- d) 1.42E1 m/s
- e) 1.72E1 m/s

14) If a molecule with atomic mass equal to 8 amu has a speed of 331 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

- a) 8.36 x 10
^{1}m/s - b) 1.01 x 10
^{2}m/s - c) 1.23 x 10
^{2}m/s - d) 1.49 x 10
^{2}m/s - e) 1.8 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

- a) 7.88 x 10
^{4}J - b) 9.29 x 10
^{4}J - c) 1.1 x 10
^{5}J - d) 1.29 x 10
^{5}J - e) 1.52 x 10
^{5}J

#### FE K1[edit]

1) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) northwest
- b) south
- c) southwest
- d) northeast
- e) north

2) A large cylinder is filled with water so that the bottom is 5.7 m below the waterline. At the bottom is a small hole with a diameter of 5.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 5.94E0 m/s
- b) 7.20E0 m/s
- c) 8.72E0 m/s
- d) 1.06E1 m/s
- e) 1.28E1 m/s

_{1}= 5.4m, L

_{2}= 3.3m and L

_{3}= 7.4m. What is F

_{1}if F

_{2}=7.5N and F

_{3}=5.4N?

- a) 8.16E+00 N
- b) 9.89E+00 N
- c) 1.20E+01 N
- d) 1.45E+01 N
- e) 1.76E+01 N

^{2}. Two identical disks, each with mass 3.4 kg are attached. The larger disk has a diameter of 0.91 m, and the smaller disk has a diameter of 0.56 m. If a force of 35 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 9.37 x 10
^{0}s^{-2} - b) 1.14 x 10
^{1}s^{-2} - c) 1.38 x 10
^{1}s^{-2} - d) 1.67 x 10
^{1}s^{-2} - e) 2.02 x 10
^{1}s^{-2}

5) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

6) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

- a) 15.4 N.
- b) 17.7 N.
- c) 20.4 N.
- d) 23.5 N.
- e) 27 N.

7) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- a) 53.7 degrees
- b) 61.8 degrees
- c) 71 degrees
- d) 81.7 degrees
- e) 93.9 degrees

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 2.9m

^{3}and V

_{4}= 5.8m

^{3}. What is the temperature at step 4?

- a) 8.59 x 10
^{0}K - b) 2.71 x 10
^{1}K - c) 8.59 x 10
^{1}K - d) 2.71 x 10
^{2}K - e) 8.59 x 10
^{2}K

9) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- a) 10.01 N.
- b) 11.51 N.
- c) 13.23 N.
- d) 15.22 N.
- e) 17.5 N.

11) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.62m/s.
- b) 1.95m/s.
- c) 2.34m/s.
- d) 2.8m/s.
- e) 3.36m/s.

12) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.40E4 Pa
- b) 4.12E4 Pa
- c) 4.99E4 Pa
- d) 6.04E4 Pa
- e) 7.32E4 Pa

13) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 20.0 meters
- c) 22.0 meters
- d) 19.0 meters
- e) 23.0 meters

14) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

- a) 8.05 x 10
^{1}m/s - b) 9.76 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.43 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

#### FE K2[edit]

_{1}is 18 degrees, and θ

_{3}is 35 degrees. The tension T

_{3}is 48 N. What is the tension, T

_{1}?

- a) 31.26 N.
- b) 35.95 N.
- c) 41.34 N.
- d) 47.54 N.
- e) 54.68 N.

2) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- a) 53.3 degrees
- b) 61.3 degrees
- c) 70.5 degrees
- d) 81.1 degrees
- e) 93.3 degrees

3) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

4) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.48E4 Pa
- b) 3.00E4 Pa
- c) 3.64E4 Pa
- d) 4.41E4 Pa
- e) 5.34E4 Pa

5) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.49m/s.
- b) 1.79m/s.
- c) 2.15m/s.
- d) 2.58m/s.
- e) 3.09m/s.

- a) 0.401 kg
- b) 0.421 kg
- c) 0.442 kg
- d) 0.464 kg
- e) 0.487 kg

7) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

- a) 1.31 x 10
^{2}m/s - b) 1.59 x 10
^{2}m/s - c) 1.93 x 10
^{2}m/s - d) 2.33 x 10
^{2}m/s - e) 2.83 x 10
^{2}m/s

8) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- a) 6.6 N.
- b) 7.6 N.
- c) 8.7 N.
- d) 10 N.
- e) 11.5 N.

9) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 23.0 meters
- c) 22.0 meters
- d) 20.0 meters
- e) 19.0 meters

_{1}= 5.3m, L

_{2}= 4.3m and L

_{3}= 8m. What is F

_{1}if F

_{2}=7.6N and F

_{3}=5.9N?

- a) 1.03E+01 N
- b) 1.24E+01 N
- c) 1.51E+01 N
- d) 1.83E+01 N
- e) 2.21E+01 N

_{1}= 2.6 kPa, P

_{2}= 5.7 kPa. The volumes are V

_{1}= 2.7m

^{3}and V

_{4}= 5.5m

^{3}. What is the temperature at step 4?

- a) 1.15 x 10
^{3}K - b) 3.63 x 10
^{3}K - c) 1.15 x 10
^{4}K - d) 3.63 x 10
^{4}K - e) 1.15 x 10
^{5}K

12) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) northwest
- b) north
- c) southwest
- d) northeast
- e) south

13) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

- a) 6.62 x 10
^{4}J - b) 7.8 x 10
^{4}J - c) 9.19 x 10
^{4}J - d) 1.08 x 10
^{5}J - e) 1.28 x 10
^{5}J

14) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

^{2}. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 8.4 x 10
^{0}s^{-2} - b) 1.02 x 10
^{1}s^{-2} - c) 1.23 x 10
^{1}s^{-2} - d) 1.49 x 10
^{1}s^{-2} - e) 1.81 x 10
^{1}s^{-2}

16) A large cylinder is filled with water so that the bottom is 5.4 m below the waterline. At the bottom is a small hole with a diameter of 9.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 7.01E0 m/s
- b) 8.49E0 m/s
- c) 1.03E1 m/s
- d) 1.25E1 m/s
- e) 1.51E1 m/s

### FE L0[edit]

1) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 11.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

4) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- a) northeast
- b) northwest
- c) north
- d) south
- e) southwest

5) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- a) 6.6 N.
- b) 7.6 N.
- c) 8.7 N.
- d) 10 N.
- e) 11.5 N.

6) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 41.2N at an angle of 42 degress above the horizontal. What is the magnitude of the friction?

- a) 23.15 N.
- b) 26.62 N.
- c) 30.62 N.
- d) 35.21 N.
- e) 40.49 N.

7) In the figure "3 tensions" shown above θ_{1} is 16 degrees, and θ_{3} is 30 degrees. The tension T_{3} is 45 N. What is the weight?

- a) 25.5 N.
- b) 29.3 N.
- c) 33.7 N.
- d) 38.7 N.
- e) 44.5 N.

- a) 1.92 m
- b) 2.06 m
- c) 2.20 m
- d) 2.35 m
- e) 2.52 m

9) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

- a) 1427 kg
- b) 1712 kg
- c) 2055 kg
- d) 2466 kg
- e) 2959 kg

_{1}= 6.3m, L

_{2}= 4.3m and L

_{3}= 8.5m. What is F

_{1}if F

_{2}=8.4N and F

_{3}=5.2N?

- a) 1.27E+01 N
- b) 1.54E+01 N
- c) 1.87E+01 N
- d) 2.27E+01 N
- e) 2.75E+01 N

11) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

- a) 1.26 x 10
^{1}m - b) 1.52 x 10
^{1}m - c) 1.84 x 10
^{1}m - d) 2.23 x 10
^{1}m - e) 2.7 x 10
^{1}m

12) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.95E4 Pa
- b) 2.46E4 Pa
- c) 3.09E4 Pa
- d) 3.89E4 Pa
- e) 4.90E4 Pa

13) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 30.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 1.63E2 mm
- b) 1.98E2 mm
- c) 2.40E2 mm
- d) 2.90E2 mm
- e) 3.52E2 mm

14) What is the root-mean-square of 6, -2, and -44?

- a) 1.619 x 10
^{1} - b) 1.817 x 10
^{1} - c) 2.039 x 10
^{1} - d) 2.287 x 10
^{1} - e) 2.566 x 10
^{1}

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 32.6 C to 75.6 C?

- a) 3.68 x 10
^{4}J - b) 4.33 x 10
^{4}J - c) 5.11 x 10
^{4}J - d) 6.02 x 10
^{4}J - e) 7.1 x 10
^{4}J

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 1.34 x 10
^{2}J - b) 4.23 x 10
^{2}J - c) 1.34 x 10
^{3}J - d) 4.23 x 10
^{3}J - e) 1.34 x 10
^{4}J

#### FE L1[edit]

1) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. How much heat does it take to raise both from 54.4 C to 78.1 C?

- a) 2.43 x 10
^{4}J - b) 2.86 x 10
^{4}J - c) 3.38 x 10
^{4}J - d) 3.98 x 10
^{4}J - e) 4.69 x 10
^{4}J

2) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- a) northeast
- b) northwest
- c) south
- d) north
- e) southwest

3) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

- a) 27.4 N.
- b) 31.5 N.
- c) 36.2 N.
- d) 41.7 N.
- e) 47.9 N.

4) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- a) 18.6 N.
- b) 21.4 N.
- c) 24.6 N.
- d) 28.3 N.
- e) 32.6 N.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

6) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- a) 1507 kg
- b) 1809 kg
- c) 2170 kg
- d) 2604 kg
- e) 3125 kg

7) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.95E4 Pa
- b) 2.46E4 Pa
- c) 3.09E4 Pa
- d) 3.89E4 Pa
- e) 4.90E4 Pa

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 11.0 meters
- b) 7.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 8.0 meters

9) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

- a) 24.29 N.
- b) 27.93 N.
- c) 32.12 N.
- d) 36.94 N.
- e) 42.48 N.

10) A car with a tire radius of 0.24 m accelerates from 0 to 33 m/s in 8.5 seconds. What is the angular acceleration of the wheel?

- a) 1.34 x 10
^{1}m - b) 1.62 x 10
^{1}m - c) 1.96 x 10
^{1}m - d) 2.37 x 10
^{1}m - e) 2.88 x 10
^{1}m

_{1}= 3 kPa, P

_{2}= 5.4 kPa. The volumes are V

_{1}= 2.6m

^{3}and V

_{4}= 5m

^{3}. How much work is involved between 2 and 4?

- a) 1.01 x 10
^{2}J - b) 3.19 x 10
^{2}J - c) 1.01 x 10
^{3}J - d) 3.19 x 10
^{3}J - e) 1.01 x 10
^{4}J

_{1}= 6.5m, L

_{2}= 3.2m and L

_{3}= 8.8m. What is F

_{1}if F

_{2}=9.3N and F

_{3}=5.9N?

- a) 8.56E+00 N
- b) 1.04E+01 N
- c) 1.26E+01 N
- d) 1.52E+01 N
- e) 1.84E+01 N

13) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 4.06E2 mm
- b) 4.92E2 mm
- c) 5.96E2 mm
- d) 7.22E2 mm
- e) 8.74E2 mm

- a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

15) What is the root-mean-square of 6, -2, and -44?

- a) 1.619 x 10
^{1} - b) 1.817 x 10
^{1} - c) 2.039 x 10
^{1} - d) 2.287 x 10
^{1} - e) 2.566 x 10
^{1}

16) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

#### FE L2[edit]

1) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- a) 40.3 N.
- b) 46.4 N.
- c) 53.3 N.
- d) 61.3 N.
- e) 70.5 N.

_{1}= 6.4m, L

_{2}= 3.2m and L

_{3}= 8.3m. What is F

_{1}if F

_{2}=8.5N and F

_{3}=6.5N?

- a) 5.89E+00 N
- b) 7.13E+00 N
- c) 8.64E+00 N
- d) 1.05E+01 N
- e) 1.27E+01 N

3) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- a) 1883 kg
- b) 2259 kg
- c) 2711 kg
- d) 3253 kg
- e) 3904 kg

4) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 10.0 meters
- e) 8.0 meters

5) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

- a) 17.21 N.
- b) 19.79 N.
- c) 22.76 N.
- d) 26.17 N.
- e) 30.1 N.

6) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

- a) 7.88 x 10
^{4}J - b) 9.29 x 10
^{4}J - c) 1.1 x 10
^{5}J - d) 1.29 x 10
^{5}J - e) 1.52 x 10
^{5}J

_{1}= 1.3 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 2 and 4?

- a) 8.7 x 10
^{2}J - b) 2.75 x 10
^{3}J - c) 8.7 x 10
^{3}J - d) 2.75 x 10
^{4}J - e) 8.7 x 10
^{4}J

8) What is the root-mean-square of -46, -13, and 17?

- a) 2.074 x 10
^{1} - b) 2.327 x 10
^{1} - c) 2.611 x 10
^{1} - d) 2.929 x 10
^{1} - e) 3.287 x 10
^{1}

9) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.74E4 Pa
- b) 2.19E4 Pa
- c) 2.75E4 Pa
- d) 3.47E4 Pa
- e) 4.37E4 Pa

10) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 6.30E1 mm
- b) 7.63E1 mm
- c) 9.24E1 mm
- d) 1.12E2 mm
- e) 1.36E2 mm

11) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- a) 6.6 N.
- b) 7.6 N.
- c) 8.7 N.
- d) 10 N.
- e) 11.5 N.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

- a) 1.46 m
- b) 1.56 m
- c) 1.67 m
- d) 1.79 m
- e) 1.92 m

14) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

15) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- a) northwest
- b) north
- c) south
- d) southwest
- e) northeast

16) A car with a tire radius of 0.31 m accelerates from 0 to 39 m/s in 9.3 seconds. What is the angular acceleration of the wheel?

- a) 1.12 x 10
^{1}m - b) 1.35 x 10
^{1}m - c) 1.64 x 10
^{1}m - d) 1.99 x 10
^{1}m - e) 2.41 x 10
^{1}m

### FE M0[edit]

1) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 18.0 meters
- c) 20.0 meters
- d) 16.0 meters
- e) 17.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

4) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- a) north
- b) south
- c) east
- d) west
- e) zero

5) A mass with weight (mg) equal to 34 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 14 degrees with respect to the horizontal. What is the tension in each string?

- a) 61.1 N.
- b) 70.3 N.
- c) 80.8 N.
- d) 92.9 N.
- e) 106.9 N.

6) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

- a) 16.81 N.
- b) 19.33 N.
- c) 22.23 N.
- d) 25.57 N.
- e) 29.4 N.

_{1}is 20 degrees, and θ

_{3}is 29 degrees. The tension T

_{3}is 25 N. What is the tension, T

_{1}?

- a) 13.3 N.
- b) 15.3 N.
- c) 17.59 N.
- d) 20.23 N.
- e) 23.27 N.

- a) 1.149 m/s
- b) 1.218 m/s
- c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

9) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- a) 1124 kg
- b) 1348 kg
- c) 1618 kg
- d) 1942 kg
- e) 2330 kg

_{1}= 6.1m, L

_{2}= 4m and L

_{3}= 7.5m. What is F

_{2}if F

_{1}=0.74N and F

_{3}=0N?

- a) 6.35E-01 N
- b) 7.69E-01 N
- c) 9.31E-01 N
- d) 1.13E+00 N
- e) 1.37E+00 N

^{2}. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.86 m, and the smaller disk has a diameter of 0.38 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 1.37 x 10
^{1}s^{-2} - b) 1.67 x 10
^{1}s^{-2} - c) 2.02 x 10
^{1}s^{-2} - d) 2.44 x 10
^{1}s^{-2} - e) 2.96 x 10
^{1}s^{-2}

12) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 3.11E3 N
- b) 3.92E3 N
- c) 4.93E3 N
- d) 6.21E3 N
- e) 7.81E3 N

13) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 7.94E-1 m/s
- b) 9.62E-1 m/s
- c) 1.17E0 m/s
- d) 1.41E0 m/s
- e) 1.71E0 m/s

14) If a molecule with atomic mass equal to 6 amu has a speed of 217 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 30 ?

- a) 5.46 x 10
^{1}m/s - b) 6.61 x 10
^{1}m/s - c) 8.01 x 10
^{1}m/s - d) 9.7 x 10
^{1}m/s - e) 1.18 x 10
^{2}m/s

15) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

- a) 2.8 x 10
^{-1} - b) 3.3 x 10
^{-1} - c) 3.9 x 10
^{-1} - d) 4.6 x 10
^{-1} - e) 5.5 x 10
^{-1}

#### FE M1[edit]

^{2}. Two identical disks, each with mass 3.6 kg are attached. The larger disk has a diameter of 0.71 m, and the smaller disk has a diameter of 0.32 m. If a force of 13 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 5.19 x 10
^{0}s^{-2} - b) 6.29 x 10
^{0}s^{-2} - c) 7.62 x 10
^{0}s^{-2} - d) 9.23 x 10
^{0}s^{-2} - e) 1.12 x 10
^{1}s^{-2}

2) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 7.12E3 N
- b) 8.96E3 N
- c) 1.13E4 N
- d) 1.42E4 N
- e) 1.79E4 N

3) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 20.0 meters
- c) 17.0 meters
- d) 19.0 meters
- e) 18.0 meters

4) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- a) north
- b) zero
- c) west
- d) south
- e) east

_{1}= 2.9 kPa, P

_{2}= 4 kPa. The volumes are V

_{1}= 2m

^{3}and V

_{4}= 3.2m

^{3}. How much work is done in in one cycle?

- a) 6.6 x 10
^{0}J - b) 2.09 x 10
^{1}J - c) 6.6 x 10
^{1}J - d) 2.09 x 10
^{2}J - e) 6.6 x 10
^{2}J

6) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 1.14E0 m/s
- b) 1.38E0 m/s
- c) 1.67E0 m/s
- d) 2.02E0 m/s
- e) 2.45E0 m/s

7) A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

- a) 23.4 N.
- b) 27 N.
- c) 31 N.
- d) 35.7 N.
- e) 41 N.

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

9) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- a) 1883 kg
- b) 2259 kg
- c) 2711 kg
- d) 3253 kg
- e) 3904 kg

10) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

11) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 45.6N at an angle of 36 degress above the horizontal. What is the normal force?

- a) 23.45 N.
- b) 26.97 N.
- c) 31.02 N.
- d) 35.67 N.
- e) 41.02 N.

_{1}is 18 degrees, and θ

_{3}is 35 degrees. The tension T

_{3}is 48 N. What is the tension, T

_{1}?

- a) 31.26 N.
- b) 35.95 N.
- c) 41.34 N.
- d) 47.54 N.
- e) 54.68 N.

13) If a molecule with atomic mass equal to 9 amu has a speed of 445 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 25 ?

- a) 1.82 x 10
^{2}m/s - b) 2.2 x 10
^{2}m/s - c) 2.67 x 10
^{2}m/s - d) 3.23 x 10
^{2}m/s - e) 3.92 x 10
^{2}m/s

14) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. What fraction of the heat went into the aluminum?

- a) 5.2 x 10
^{-1} - b) 6.1 x 10
^{-1} - c) 7.2 x 10
^{-1} - d) 8.5 x 10
^{-1} - e) 1 x 10
^{0}

#### FE M2[edit]

1) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

- a) 1427 kg
- b) 1712 kg
- c) 2055 kg
- d) 2466 kg
- e) 2959 kg

2) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- a) north
- b) south
- c) zero
- d) west
- e) east

3) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

- a) 15.4 N.
- b) 17.7 N.
- c) 20.4 N.
- d) 23.5 N.
- e) 27 N.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

6) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 1.11E4 N
- b) 1.40E4 N
- c) 1.76E4 N
- d) 2.22E4 N
- e) 2.79E4 N

^{2}. Two identical disks, each with mass 8.1 kg are attached. The larger disk has a diameter of 0.99 m, and the smaller disk has a diameter of 0.63 m. If a force of 87 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 9.12 x 10
^{0}s^{-2} - b) 1.11 x 10
^{1}s^{-2} - c) 1.34 x 10
^{1}s^{-2} - d) 1.62 x 10
^{1}s^{-2} - e) 1.97 x 10
^{1}s^{-2}

8) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

- a) 16.81 N.
- b) 19.33 N.
- c) 22.23 N.
- d) 25.57 N.
- e) 29.4 N.

9) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 1.27E0 m/s
- b) 1.54E0 m/s
- c) 1.87E0 m/s
- d) 2.26E0 m/s
- e) 2.74E0 m/s

_{1}is 18 degrees, and θ

_{3}is 35 degrees. The tension T

_{3}is 48 N. What is the tension, T

_{1}?

- a) 31.26 N.
- b) 35.95 N.
- c) 41.34 N.
- d) 47.54 N.
- e) 54.68 N.

_{1}= 2.8 kPa, P

_{2}= 5.6 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.8m

^{3}. How much work is done in in one cycle?

- a) 3.78 x 10
^{2}J - b) 1.2 x 10
^{3}J - c) 3.78 x 10
^{3}J - d) 1.2 x 10
^{4}J - e) 3.78 x 10
^{4}J

_{1}= 6.8m, L

_{2}= 4.3m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.9N and F

_{3}=0.1N?

- a) 5.72E-01 N
- b) 6.93E-01 N
- c) 8.40E-01 N
- d) 1.02E+00 N
- e) 1.23E+00 N

13) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

14) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 18.0 meters
- c) 16.0 meters
- d) 20.0 meters
- e) 19.0 meters

15) If a molecule with atomic mass equal to 8 amu has a speed of 475 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- a) 1.73 x 10
^{2}m/s - b) 2.1 x 10
^{2}m/s - c) 2.54 x 10
^{2}m/s - d) 3.08 x 10
^{2}m/s - e) 3.73 x 10
^{2}m/s

16) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.4 x 10
^{-1} - b) 4.1 x 10
^{-1} - c) 4.8 x 10
^{-1} - d) 5.6 x 10
^{-1} - e) 6.6 x 10
^{-1}

### FE N0[edit]

1) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 13.0 meters
- b) 17.0 meters
- c) 16.0 meters
- d) 15.0 meters
- e) 14.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.26 radians.
- b) 0.3 radians.
- c) 0.34 radians.
- d) 0.39 radians.
- e) 0.45 radians.

4) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) south
- b) southwest
- c) northeast
- d) northwest
- e) north

5) A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- a) 12.5 N.
- b) 14.3 N.
- c) 16.5 N.
- d) 19 N.
- e) 21.8 N.

6) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

- a) 24.29 N.
- b) 27.93 N.
- c) 32.12 N.
- d) 36.94 N.
- e) 42.48 N.

*mass*is 3.1 kg. What is T

_{1}?

- a) 34.8 N.
- b) 41.8 N.
- c) 50.2 N.
- d) 60.2 N.
- e) 72.3 N.

- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
- e) 0.739 kg

- a) 34 m/s.
- b) 36 m/s.
- c) 39 m/s.
- d) 41 m/s.
- e) 44 m/s.

_{1}= 5.2m, L

_{2}= 4.5m and L

_{3}= 8.6m. What is F

_{2}if F

_{1}=0.86N and F

_{3}=0.1N?

- a) 3.73E-01 N
- b) 4.51E-01 N
- c) 5.47E-01 N
- d) 6.63E-01 N
- e) 8.03E-01 N

11) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the moment of inertia?

- a) 2.4 x 10
^{-1}kg m^{2}/s^{2} - b) 2.9 x 10
^{-1}kg m^{2}/s^{2} - c) 3.52 x 10
^{-1}kg m^{2}/s^{2} - d) 4.26 x 10
^{-1}kg m^{2}/s^{2} - e) 5.16 x 10
^{-1}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.26E4 Pa
- b) 2.74E4 Pa
- c) 3.32E4 Pa
- d) 4.02E4 Pa
- e) 4.87E4 Pa

13) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 6.00E4
- b) 7.27E4
- c) 8.81E4
- d) 1.07E5
- e) 1.29E5

14) What is the root-mean-square of 11, 36, and 4?

- a) 1.948 x 10
^{1} - b) 2.186 x 10
^{1} - c) 2.452 x 10
^{1} - d) 2.751 x 10
^{1} - e) 3.087 x 10
^{1}

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 3.16 x 10
^{0}km - b) 3.83 x 10
^{0}km - c) 4.64 x 10
^{0}km - d) 5.62 x 10
^{0}km - e) 6.81 x 10
^{0}km

#### FE N1[edit]

*mass*is 2.8 kg. What is T

_{1}?

- a) 21.2 N.
- b) 25.4 N.
- c) 30.5 N.
- d) 36.6 N.
- e) 43.9 N.

2) What is the root-mean-square of -28, -38, and -13?

- a) 2.519 x 10
^{1} - b) 2.827 x 10
^{1} - c) 3.172 x 10
^{1} - d) 3.559 x 10
^{1} - e) 3.993 x 10
^{1}

3) A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

- a) 22.1 N.
- b) 25.4 N.
- c) 29.2 N.
- d) 33.6 N.
- e) 38.6 N.

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 14.0 meters
- b) 16.0 meters
- c) 17.0 meters
- d) 13.0 meters
- e) 15.0 meters

_{1}= 2.2 kPa, P

_{2}= 3.8 kPa. The volumes are V

_{1}= 2.9m

^{3}and V

_{4}= 5.4m

^{3}. What is the temperature at step 4?

- a) 5.71 x 10
^{0}K - b) 1.81 x 10
^{1}K - c) 5.71 x 10
^{1}K - d) 1.81 x 10
^{2}K - e) 5.71 x 10
^{2}K

6) A lead filled bicycle wheel of radius 0.56 m and mass 2.9 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

- a) 7.51 x 10
^{-1}kg m^{2}/s^{2} - b) 9.09 x 10
^{-1}kg m^{2}/s^{2} - c) 1.1 x 10
^{0}kg m^{2}/s^{2} - d) 1.33 x 10
^{0}kg m^{2}/s^{2} - e) 1.62 x 10
^{0}kg m^{2}/s^{2}

7) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.59E4 Pa
- b) 3.14E4 Pa
- c) 3.80E4 Pa
- d) 4.61E4 Pa
- e) 5.58E4 Pa

8) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 5.24 x 10
^{0}km - b) 6.35 x 10
^{0}km - c) 7.7 x 10
^{0}km - d) 9.32 x 10
^{0}km - e) 1.13 x 10
^{1}km

9) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

- a) 17.21 N.
- b) 19.79 N.
- c) 22.76 N.
- d) 26.17 N.
- e) 30.1 N.

- a) 0.187 kg
- b) 0.196 kg
- c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

11) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) southwest
- b) north
- c) northeast
- d) south
- e) northwest

_{1}= 6.8m, L

_{2}= 4.8m and L

_{3}= 7.9m. What is F

_{2}if F

_{1}=0.56N and F

_{3}=0N?

- a) 6.55E-01 N
- b) 7.93E-01 N
- c) 9.61E-01 N
- d) 1.16E+00 N
- e) 1.41E+00 N

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.24 radians.
- b) 0.27 radians.
- c) 0.31 radians.
- d) 0.36 radians.
- e) 0.41 radians.

- a) 43 m/s.
- b) 46 m/s.
- c) 49 m/s.
- d) 52 m/s.
- e) 56 m/s.

15) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.26E5
- b) 1.53E5
- c) 1.85E5
- d) 2.24E5
- e) 2.72E5

16) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

#### FE N2[edit]

1) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- a) south
- b) northwest
- c) north
- d) northeast
- e) southwest

_{1}= 2.6 kPa, P

_{2}= 4.9 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 3.5m

^{3}. What is the temperature at step 4?

- a) 5.47 x 10
^{1}K - b) 1.73 x 10
^{2}K - c) 5.47 x 10
^{2}K - d) 1.73 x 10
^{3}K - e) 5.47 x 10
^{3}K

3) A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the moment of inertia?

- a) 4.02 x 10
^{-1}kg m^{2}/s^{2} - b) 4.87 x 10
^{-1}kg m^{2}/s^{2} - c) 5.91 x 10
^{-1}kg m^{2}/s^{2} - d) 7.16 x 10
^{-1}kg m^{2}/s^{2} - e) 8.67 x 10
^{-1}kg m^{2}/s^{2}

4) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 4.68 x 10
^{0}km - b) 5.67 x 10
^{0}km - c) 6.87 x 10
^{0}km - d) 8.32 x 10
^{0}km - e) 1.01 x 10
^{1}km

_{1}= 5.5m, L

_{2}= 3.5m and L

_{3}= 8.3m. What is F

_{2}if F

_{1}=0.92N and F

_{3}=0.1N?

- a) 8.23E-01 N
- b) 9.98E-01 N
- c) 1.21E+00 N
- d) 1.46E+00 N
- e) 1.77E+00 N

6) What is the root-mean-square of -28, -38, and -13?

- a) 2.519 x 10
^{1} - b) 2.827 x 10
^{1} - c) 3.172 x 10
^{1} - d) 3.559 x 10
^{1} - e) 3.993 x 10
^{1}

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 13.0 meters
- b) 14.0 meters
- c) 16.0 meters
- d) 17.0 meters
- e) 15.0 meters

8) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

9) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.83E4 Pa
- b) 3.43E4 Pa
- c) 4.16E4 Pa
- d) 5.03E4 Pa
- e) 6.10E4 Pa

10) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

- a) 1.312 kg
- b) 1.377 kg
- c) 1.446 kg
- d) 1.518 kg
- e) 1.594 kg

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.14 radians.
- b) 0.16 radians.
- c) 0.19 radians.
- d) 0.22 radians.
- e) 0.25 radians.

*mass*is 2.7 kg. What is T

_{1}?

- a) 40.7 N.
- b) 48.9 N.
- c) 58.7 N.
- d) 70.4 N.
- e) 84.5 N.

- a) 55 m/s.
- b) 59 m/s.
- c) 63 m/s.
- d) 68 m/s.
- e) 73 m/s.

15) A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

- a) 15 N.
- b) 17.3 N.
- c) 19.8 N.
- d) 22.8 N.
- e) 26.2 N.

16) A sled of mass 5.4 kg is at rest on a rough surface. A string pulls with a tension of 46.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

- a) 36.72 N.
- b) 42.23 N.
- c) 48.56 N.
- d) 55.85 N.
- e) 64.23 N.

### FE O0[edit]

1) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

2) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 12.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

4) As the Moon circles Earth, the acceleration of the Moon is

- a) in the same direction as the Moon's velocity
- b) towards Earth
- c) zero
- d) away from Earth
- e) opposite the direction of the Moon's velocity

5) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

- a) 27.4 N.
- b) 31.5 N.
- c) 36.2 N.
- d) 41.7 N.
- e) 47.9 N.

6) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

- a) 1.4 s
- b) 1.61 s
- c) 1.86 s
- d) 2.13 s
- e) 2.45 s

7) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- a) 18.6 N.
- b) 21.4 N.
- c) 24.6 N.
- d) 28.3 N.
- e) 32.6 N.

- a) 0.714 kg
- b) 0.750 kg
- c) 0.787 kg
- d) 0.826 kg
- e) 0.868 kg

9) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- a) 1507 kg
- b) 1809 kg
- c) 2170 kg
- d) 2604 kg
- e) 3125 kg

- a) 2.13E+01 N
- b) 2.59E+01 N
- c) 3.13E+01 N
- d) 3.80E+01 N
- e) 4.60E+01 N

^{2}. Two identical disks, each with mass 9.3 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.46 m. If a force of 96 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 9.79 x 10
^{0}s^{-2} - b) 1.19 x 10
^{1}s^{-2} - c) 1.44 x 10
^{1}s^{-2} - d) 1.74 x 10
^{1}s^{-2} - e) 2.11 x 10
^{1}s^{-2}

12) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 7.00E3 N
- b) 8.48E3 N
- c) 1.03E4 N
- d) 1.24E4 N
- e) 1.51E4 N

13) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 6.30E1 mm
- b) 7.63E1 mm
- c) 9.24E1 mm
- d) 1.12E2 mm
- e) 1.36E2 mm

14) If a molecule with atomic mass equal to 6 amu has a speed of 265 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- a) 1.01 x 10
^{2}m/s - b) 1.23 x 10
^{2}m/s - c) 1.49 x 10
^{2}m/s - d) 1.8 x 10
^{2}m/s - e) 2.18 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 1.64 x 10
^{0}km - b) 1.99 x 10
^{0}km - c) 2.41 x 10
^{0}km - d) 2.92 x 10
^{0}km - e) 3.54 x 10
^{0}km

_{1}= 1.1 kPa, P

_{2}= 3.5 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 2.5m

^{3}. How much work is involved between 1 and 4?

- a) 1.43 x 10
^{1}J - b) 4.52 x 10
^{1}J - c) 1.43 x 10
^{2}J - d) 4.52 x 10
^{2}J - e) 1.43 x 10
^{3}J

#### FE O1[edit]

1) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 7.00E3 N
- b) 8.48E3 N
- c) 1.03E4 N
- d) 1.24E4 N
- e) 1.51E4 N

2) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

- a) 3.52E+01 N
- b) 4.27E+01 N
- c) 5.17E+01 N
- d) 6.26E+01 N
- e) 7.59E+01 N

4) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- a) 40.3 N.
- b) 46.4 N.
- c) 53.3 N.
- d) 61.3 N.
- e) 70.5 N.

5) If a molecule with atomic mass equal to 8 amu has a speed of 331 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

- a) 8.36 x 10
^{1}m/s - b) 1.01 x 10
^{2}m/s - c) 1.23 x 10
^{2}m/s - d) 1.49 x 10
^{2}m/s - e) 1.8 x 10
^{2}m/s

6) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 42.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 10.4 m/s?

- a) 1.25 s
- b) 1.44 s
- c) 1.65 s
- d) 1.9 s
- e) 2.18 s

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 12.0 meters
- d) 9.0 meters
- e) 11.0 meters

8) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

- a) 1427 kg
- b) 1712 kg
- c) 2055 kg
- d) 2466 kg
- e) 2959 kg

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 1.81 x 10
^{2}J - b) 5.72 x 10
^{2}J - c) 1.81 x 10
^{3}J - d) 5.72 x 10
^{3}J - e) 1.81 x 10
^{4}J

10) As the Moon circles Earth, the acceleration of the Moon is

- a) opposite the direction of the Moon's velocity
- b) towards Earth
- c) zero
- d) in the same direction as the Moon's velocity
- e) away from Earth

11) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

12) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

- a) 15.4 N.
- b) 17.7 N.
- c) 20.4 N.
- d) 23.5 N.
- e) 27 N.

13) A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 2.80E1 mm
- b) 3.39E1 mm
- c) 4.11E1 mm
- d) 4.98E1 mm
- e) 6.03E1 mm

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 4.68 x 10
^{0}km - b) 5.67 x 10
^{0}km - c) 6.87 x 10
^{0}km - d) 8.32 x 10
^{0}km - e) 1.01 x 10
^{1}km

^{2}. Two identical disks, each with mass 3.4 kg are attached. The larger disk has a diameter of 0.91 m, and the smaller disk has a diameter of 0.56 m. If a force of 35 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 9.37 x 10
^{0}s^{-2} - b) 1.14 x 10
^{1}s^{-2} - c) 1.38 x 10
^{1}s^{-2} - d) 1.67 x 10
^{1}s^{-2} - e) 2.02 x 10
^{1}s^{-2}

#### FE O2[edit]

^{2}. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.86 m, and the smaller disk has a diameter of 0.38 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 1.37 x 10
^{1}s^{-2} - b) 1.67 x 10
^{1}s^{-2} - c) 2.02 x 10
^{1}s^{-2} - d) 2.44 x 10
^{1}s^{-2} - e) 2.96 x 10
^{1}s^{-2}

- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
- e) 0.739 kg

3) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

4) A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

- a) 14.5 N.
- b) 16.7 N.
- c) 19.2 N.
- d) 22.1 N.
- e) 25.4 N.

5) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.56E3 N
- b) 6.74E3 N
- c) 8.16E3 N
- d) 9.89E3 N
- e) 1.20E4 N

6) As the Moon circles Earth, the acceleration of the Moon is

- a) zero
- b) away from Earth
- c) towards Earth
- d) in the same direction as the Moon's velocity
- e) opposite the direction of the Moon's velocity

- a) 1.82E+01 N
- b) 2.20E+01 N
- c) 2.67E+01 N
- d) 3.23E+01 N
- e) 3.91E+01 N

8) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- a) 40.3 N.
- b) 46.4 N.
- c) 53.3 N.
- d) 61.3 N.
- e) 70.5 N.

9) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 1.23E2 mm
- b) 1.48E2 mm
- c) 1.80E2 mm
- d) 2.18E2 mm
- e) 2.64E2 mm

10) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 1.64 x 10
^{0}km - b) 1.99 x 10
^{0}km - c) 2.41 x 10
^{0}km - d) 2.92 x 10
^{0}km - e) 3.54 x 10
^{0}km

11) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- a) 1507 kg
- b) 1809 kg
- c) 2170 kg
- d) 2604 kg
- e) 3125 kg

12) A sled of mass 5.4 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.2N at an angle of 58 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

- a) 2.6 s
- b) 2.99 s
- c) 3.43 s
- d) 3.95 s
- e) 4.54 s

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- a) 1.67 x 10
^{3}J - b) 5.27 x 10
^{3}J - c) 1.67 x 10
^{4}J - d) 5.27 x 10
^{4}J - e) 1.67 x 10
^{5}J

14) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 12.0 meters

15) If a molecule with atomic mass equal to 6 amu has a speed of 265 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- a) 1.01 x 10
^{2}m/s - b) 1.23 x 10
^{2}m/s - c) 1.49 x 10
^{2}m/s - d) 1.8 x 10
^{2}m/s - e) 2.18 x 10
^{2}m/s

16) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

### FE P0[edit]

1) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 7.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

4) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- a) northwest
- b) northeast
- c) north
- d) northeast
- e) southeast

5) A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

- a) 14.5 N.
- b) 16.7 N.
- c) 19.2 N.
- d) 22.1 N.
- e) 25.4 N.

6) A sled of mass 2.1 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.6 m/s^{2}?

- a) 56.3 degrees
- b) 64.7 degrees
- c) 74.4 degrees
- d) 85.6 degrees
- e) 98.4 degrees

_{1}is 17 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 46 N. What is the weight?

- a) 20.1 N.
- b) 23.1 N.
- c) 26.6 N.
- d) 30.6 N.
- e) 35.2 N.

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
- d) 1.291 m/s
- e) 1.368 m/s

9) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.62m/s.
- b) 1.95m/s.
- c) 2.34m/s.
- d) 2.8m/s.
- e) 3.36m/s.

_{1}= 5.5m, L

_{2}= 3.7m and L

_{3}= 8.2m. What is F

_{1}if F

_{2}=7.8N and F

_{3}=5.6N?

- a) 9.26E+00 N
- b) 1.12E+01 N
- c) 1.36E+01 N
- d) 1.65E+01 N
- e) 2.00E+01 N

11) A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

- a) 2.78 x 10
^{1}J - b) 3.37 x 10
^{1}J - c) 4.08 x 10
^{1}J - d) 4.95 x 10
^{1}J - e) 5.99 x 10
^{1}J

12) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.52E4 Pa
- b) 1.92E4 Pa
- c) 2.41E4 Pa
- d) 3.04E4 Pa
- e) 3.82E4 Pa

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

14) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 12 degrees Fahrenheit?

- a) 2.8 x 10
^{2}m/s - b) 3.39 x 10
^{2}m/s - c) 4.11 x 10
^{2}m/s - d) 4.97 x 10
^{2}m/s - e) 6.03 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 3.16 x 10
^{0}km - b) 3.83 x 10
^{0}km - c) 4.64 x 10
^{0}km - d) 5.62 x 10
^{0}km - e) 6.81 x 10
^{0}km

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- a) 1.67 x 10
^{3}J - b) 5.27 x 10
^{3}J - c) 1.67 x 10
^{4}J - d) 5.27 x 10
^{4}J - e) 1.67 x 10
^{5}J

#### FE P1[edit]

1) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- a) 1.67 x 10
^{3}J - b) 5.27 x 10
^{3}J - c) 1.67 x 10
^{4}J - d) 5.27 x 10
^{4}J - e) 1.67 x 10
^{5}J

3) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.32m/s.
- b) 1.59m/s.
- c) 1.91m/s.
- d) 2.29m/s.
- e) 2.75m/s.

4) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s^{2}?

- a) 48.4 degrees
- b) 55.7 degrees
- c) 64 degrees
- d) 73.6 degrees
- e) 84.7 degrees

5) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

6) In the figure "3 tensions" shown above θ_{1} is 17 degrees, and θ_{3} is 29 degrees. The tension T_{3} is 12 N. What is the weight?

- a) 5.9 N.
- b) 6.8 N.
- c) 7.8 N.
- d) 9 N.
- e) 10.4 N.

7) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- a) 6.6 N.
- b) 7.6 N.
- c) 8.7 N.
- d) 10 N.
- e) 11.5 N.

8) A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 3.78 x 10
^{0}J - b) 4.58 x 10
^{0}J - c) 5.55 x 10
^{0}J - d) 6.73 x 10
^{0}J - e) 8.15 x 10
^{0}J

9) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is is the force exerted by the fluid on the bottom of the cylinder?

- a) 2.35E4 Pa
- b) 2.95E4 Pa
- c) 3.72E4 Pa
- d) 4.68E4 Pa
- e) 5.90E4 Pa

10) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- a) northeast
- b) north
- c) northwest
- d) northeast
- e) southeast

11) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 7.0 meters

12) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 5.24 x 10
^{0}km - b) 6.35 x 10
^{0}km - c) 7.7 x 10
^{0}km - d) 9.32 x 10
^{0}km - e) 1.13 x 10
^{1}km

13) What is the rms speed of a molecule with an atomic mass of 12 if the temperature is 93 degrees Fahrenheit?

- a) 7.99 x 10
^{2}m/s - b) 9.68 x 10
^{2}m/s - c) 1.17 x 10
^{3}m/s - d) 1.42 x 10
^{3}m/s - e) 1.72 x 10
^{3}m/s

14) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 5.70E3
- b) 6.90E3
- c) 8.36E3
- d) 1.01E4
- e) 1.23E4

_{1}= 5.9m, L

_{2}= 3.1m and L

_{3}= 7.4m. What is F

_{1}if F

_{2}=9.1N and F

_{3}=5.9N?

- a) 8.30E+00 N
- b) 1.01E+01 N
- c) 1.22E+01 N
- d) 1.48E+01 N
- e) 1.79E+01 N

16) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

#### FE P2[edit]

1) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 7.0 meters
- e) 11.0 meters

2) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 6.33 x 10
^{0}km - b) 7.66 x 10
^{0}km - c) 9.29 x 10
^{0}km - d) 1.13 x 10
^{1}km - e) 1.36 x 10
^{1}km

3) In the figure "3 tensions" shown above θ_{1} is 15 degrees, and θ_{3} is 36 degrees. The tension T_{3} is 39 N. What is the weight?

- a) 23.7 N.
- b) 27.3 N.
- c) 31.4 N.
- d) 36.1 N.
- e) 41.5 N.

4) A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

- a) 9.9 N.
- b) 11.4 N.
- c) 13.1 N.
- d) 15.1 N.
- e) 17.3 N.

5) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

6) On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.95m/s.
- b) 2.34m/s.
- c) 2.81m/s.
- d) 3.38m/s.
- e) 4.05m/s.

7) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- a) southeast
- b) north
- c) northwest
- d) northeast
- e) northeast

8) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.08E4
- b) 1.31E4
- c) 1.58E4
- d) 1.92E4
- e) 2.32E4

_{1}= 6.4m, L

_{2}= 4.3m and L

_{3}= 8.3m. What is F

_{1}if F

_{2}=7.1N and F

_{3}=5.2N?

- a) 9.50E+00 N
- b) 1.15E+01 N
- c) 1.39E+01 N
- d) 1.69E+01 N
- e) 2.05E+01 N

10) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 1.81 x 10
^{2}J - b) 5.72 x 10
^{2}J - c) 1.81 x 10
^{3}J - d) 5.72 x 10
^{3}J - e) 1.81 x 10
^{4}J

12) A sled of mass 2.1 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.6 m/s^{2}?

- a) 56.3 degrees
- b) 64.7 degrees
- c) 74.4 degrees
- d) 85.6 degrees
- e) 98.4 degrees

13) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
- c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

14) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 8.11E3 Pa
- b) 1.02E4 Pa
- c) 1.28E4 Pa
- d) 1.62E4 Pa
- e) 2.04E4 Pa

15) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

- a) 3.08 x 10
^{2}m/s - b) 3.73 x 10
^{2}m/s - c) 4.52 x 10
^{2}m/s - d) 5.48 x 10
^{2}m/s - e) 6.64 x 10
^{2}m/s

16) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 8.26 x 10
^{0}J - b) 1 x 10
^{1}J - c) 1.21 x 10
^{1}J - d) 1.47 x 10
^{1}J - e) 1.78 x 10
^{1}J

### FE Q0[edit]

1) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 6.0 meters
- c) 3.0 meters
- d) 7.0 meters
- e) 5.0 meters

3) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

4) If you toss a coin into the air, the velocity while it as its highest point is

- a) zero
- b) up
- c) down

5) A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

- a) 0.1
- b) 0.12
- c) 0.14
- d) 0.17
- e) 0.2

6) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

- a) 17.21 N.
- b) 19.79 N.
- c) 22.76 N.
- d) 26.17 N.
- e) 30.1 N.

_{1}is 17 degrees , and θ

_{3}is 29 degrees . The mass has a

*weight*of 29 N. What is the tension, T

_{1}?

- a) 20.16 N.
- b) 23.18 N.
- c) 26.66 N.
- d) 30.66 N.
- e) 35.26 N.

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

- a) 55 m/s.
- b) 58 m/s.
- c) 62 m/s.
- d) 67 m/s.
- e) 71 m/s.

_{1}= 6.6m, L

_{2}= 4.4m and L

_{3}= 7.4m. What is F

_{2}if F

_{1}=0.93N and F

_{3}=0N?

- a) 6.48E-01 N
- b) 7.84E-01 N
- c) 9.50E-01 N
- d) 1.15E+00 N
- e) 1.39E+00 N

11) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

- a) 9.42 x 10
^{-1}kg m^{2}/s^{2} - b) 1.14 x 10
^{0}kg m^{2}/s^{2} - c) 1.38 x 10
^{0}kg m^{2}/s^{2} - d) 1.67 x 10
^{0}kg m^{2}/s^{2} - e) 2.03 x 10
^{0}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 6.24E3 N
- b) 7.86E3 N
- c) 9.90E3 N
- d) 1.25E4 N
- e) 1.57E4 N

13) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 7.94E-1 m/s
- b) 9.62E-1 m/s
- c) 1.17E0 m/s
- d) 1.41E0 m/s
- e) 1.71E0 m/s

14) If a molecule with atomic mass equal to 6 amu has a speed of 265 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- a) 1.01 x 10
^{2}m/s - b) 1.23 x 10
^{2}m/s - c) 1.49 x 10
^{2}m/s - d) 1.8 x 10
^{2}m/s - e) 2.18 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.8 x 10
^{-1} - b) 4.4 x 10
^{-1} - c) 5.2 x 10
^{-1} - d) 6.2 x 10
^{-1} - e) 7.3 x 10
^{-1}

#### FE Q1[edit]

1) A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

- a) 0.52
- b) 0.63
- c) 0.76
- d) 0.91
- e) 1.09

2) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

- a) 3.15 x 10
^{-1}kg m^{2}/s^{2} - b) 3.81 x 10
^{-1}kg m^{2}/s^{2} - c) 4.62 x 10
^{-1}kg m^{2}/s^{2} - d) 5.6 x 10
^{-1}kg m^{2}/s^{2} - e) 6.78 x 10
^{-1}kg m^{2}/s^{2}

- a) 47 m/s.
- b) 51 m/s.
- c) 54 m/s.
- d) 58 m/s.
- e) 62 m/s.

4) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- a) 52.36 s
- b) 62.83 s
- c) 75.4 s
- d) 90.47 s
- e) 108.57 s

5) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

- a) 8.05 x 10
^{1}m/s - b) 9.76 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.43 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

6) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 1.19E4 N
- b) 1.50E4 N
- c) 1.89E4 N
- d) 2.38E4 N
- e) 2.99E4 N

_{1}= 6.1m, L

_{2}= 4.8m and L

_{3}= 7.2m. What is F

_{2}if F

_{1}=0.72N and F

_{3}=0.1N?

- a) 6.31E-01 N
- b) 7.65E-01 N
- c) 9.27E-01 N
- d) 1.12E+00 N
- e) 1.36E+00 N

8) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

9) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 41.2N at an angle of 42 degress above the horizontal. What is the magnitude of the friction?

- a) 23.15 N.
- b) 26.62 N.
- c) 30.62 N.
- d) 35.21 N.
- e) 40.49 N.

_{1}= 2.6 kPa, P

_{2}= 4.9 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 3.5m

^{3}. What is the temperature at step 4?

- a) 5.47 x 10
^{1}K - b) 1.73 x 10
^{2}K - c) 5.47 x 10
^{2}K - d) 1.73 x 10
^{3}K - e) 5.47 x 10
^{3}K

11) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

12) A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 2.07E0 m/s
- b) 2.51E0 m/s
- c) 3.04E0 m/s
- d) 3.69E0 m/s
- e) 4.46E0 m/s

_{1}is 20 degrees , and θ

_{3}is 33 degrees . The mass has a

*weight*of 31 N. What is the tension, T

_{1}?

- a) 32.55 N.
- b) 37.44 N.
- c) 43.05 N.
- d) 49.51 N.
- e) 56.94 N.

14) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

- a) 2.8 x 10
^{-1} - b) 3.3 x 10
^{-1} - c) 3.9 x 10
^{-1} - d) 4.6 x 10
^{-1} - e) 5.5 x 10
^{-1}

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 5.0 meters
- c) 6.0 meters
- d) 4.0 meters
- e) 7.0 meters

16) If you toss a coin into the air, the velocity while it as its highest point is

- a) up
- b) down
- c) zero

#### FE Q2[edit]

1) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

- a) 1.89 x 10
^{-1}kg m^{2}/s^{2} - b) 2.29 x 10
^{-1}kg m^{2}/s^{2} - c) 2.77 x 10
^{-1}kg m^{2}/s^{2} - d) 3.36 x 10
^{-1}kg m^{2}/s^{2} - e) 4.07 x 10
^{-1}kg m^{2}/s^{2}

2) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

- a) 1.31 x 10
^{2}m/s - b) 1.59 x 10
^{2}m/s - c) 1.93 x 10
^{2}m/s - d) 2.33 x 10
^{2}m/s - e) 2.83 x 10
^{2}m/s

3) A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

- a) 0.12
- b) 0.14
- c) 0.17
- d) 0.21
- e) 0.25

4) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

5) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

- a) 2.8 x 10
^{-1} - b) 3.3 x 10
^{-1} - c) 3.9 x 10
^{-1} - d) 4.6 x 10
^{-1} - e) 5.5 x 10
^{-1}

6) If you toss a coin into the air, the velocity while it as its highest point is

- a) zero
- b) down
- c) up

7) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 7.12E3 N
- b) 8.96E3 N
- c) 1.13E4 N
- d) 1.42E4 N
- e) 1.79E4 N

8) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 2.89E-1 m/s
- b) 3.51E-1 m/s
- c) 4.25E-1 m/s
- d) 5.15E-1 m/s
- e) 6.23E-1 m/s

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- a) 27.32 N.
- b) 31.42 N.
- c) 36.13 N.
- d) 41.55 N.
- e) 47.78 N.

_{1}= 6.3m, L

_{2}= 3.8m and L

_{3}= 8.6m. What is F

_{2}if F

_{1}=0.91N and F

_{3}=0.1N?

- a) 5.95E-01 N
- b) 7.21E-01 N
- c) 8.74E-01 N
- d) 1.06E+00 N
- e) 1.28E+00 N

11) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

12) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 6.0 meters
- e) 5.0 meters

13) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.7N at an angle of 41 degress above the horizontal. What is the magnitude of the friction?

- a) 24.94 N.
- b) 28.68 N.
- c) 32.98 N.
- d) 37.93 N.
- e) 43.62 N.

- a) 34 m/s.
- b) 36 m/s.
- c) 39 m/s.
- d) 42 m/s.
- e) 44 m/s.

_{1}= 2.9 kPa, P

_{2}= 4.7 kPa. The volumes are V

_{1}= 2.7m

^{3}and V

_{4}= 5.6m

^{3}. What is the temperature at step 4?

- a) 1.03 x 10
^{1}K - b) 3.25 x 10
^{1}K - c) 1.03 x 10
^{2}K - d) 3.25 x 10
^{2}K - e) 1.03 x 10
^{3}K

16) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

### FE R0[edit]

1) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

2) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 26.0 meters
- b) 24.0 meters
- c) 27.0 meters
- d) 23.0 meters
- e) 25.0 meters

3) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

4) If you toss a coin into the air, the velocity on the way down is

- a) zero
- b) up
- c) down

5) A mass with weight (mg) of 37 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 44 degrees. What is the tension in the string?

- a) 11.4 N.
- b) 13.1 N.
- c) 15.1 N.
- d) 17.4 N.
- e) 20 N.

6) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- a) 27.11 N.
- b) 31.17 N.
- c) 35.85 N.
- d) 41.23 N.
- e) 47.41 N.

_{1}is 15 degrees, and θ

_{3}is 37 degrees. The tension T

_{3}is 22 N. What is the weight?

- a) 13.6 N.
- b) 15.6 N.
- c) 17.9 N.
- d) 20.6 N.
- e) 23.7 N.

- a) 1.72 m
- b) 1.84 m
- c) 1.96 m
- d) 2.10 m
- e) 2.25 m

9) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 17.52 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.93m/s.
- b) 2.32m/s.
- c) 2.79m/s.
- d) 3.34m/s.
- e) 4.01m/s.

_{1}= 6.3m, L

_{2}= 4.3m and L

_{3}= 8.5m. What is F

_{1}if F

_{2}=8.4N and F

_{3}=5.2N?

- a) 1.27E+01 N
- b) 1.54E+01 N
- c) 1.87E+01 N
- d) 2.27E+01 N
- e) 2.75E+01 N

11) A lead filled bicycle wheel of radius 0.4 m and mass 2.7 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

- a) 1.23 x 10
^{1}J - b) 1.49 x 10
^{1}J - c) 1.8 x 10
^{1}J - d) 2.18 x 10
^{1}J - e) 2.64 x 10
^{1}J

12) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 3.02E4 Pa
- b) 3.81E4 Pa
- c) 4.79E4 Pa
- d) 6.03E4 Pa
- e) 7.59E4 Pa

13) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 6.00E4
- b) 7.27E4
- c) 8.81E4
- d) 1.07E5
- e) 1.29E5

14) What is the root-mean-square of 1, 9, and -10?

- a) 4.914 x 10
^{0} - b) 5.514 x 10
^{0} - c) 6.187 x 10
^{0} - d) 6.942 x 10
^{0} - e) 7.789 x 10
^{0}

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.5 x 10
^{0}unit - b) 1.81 x 10
^{0}unit - c) 2.2 x 10
^{0}unit - d) 2.66 x 10
^{0}unit - e) 3.23 x 10
^{0}unit

_{1}= 1.5 kPa, P

_{2}= 2.7 kPa. The volumes are V

_{1}= 1.9m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 3.75 x 10
^{2}J - b) 1.19 x 10
^{3}J - c) 3.75 x 10
^{3}J - d) 1.19 x 10
^{4}J - e) 3.75 x 10
^{4}J

#### FE R1[edit]

1) A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 3.78 x 10
^{0}J - b) 4.58 x 10
^{0}J - c) 5.55 x 10
^{0}J - d) 6.73 x 10
^{0}J - e) 8.15 x 10
^{0}J

2) A mass with weight (mg) of 37 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 44 degrees. What is the tension in the string?

- a) 11.4 N.
- b) 13.1 N.
- c) 15.1 N.
- d) 17.4 N.
- e) 20 N.

3) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 3.04E3
- b) 3.68E3
- c) 4.46E3
- d) 5.40E3
- e) 6.55E3

_{1}= 5.3m, L

_{2}= 4.3m and L

_{3}= 8m. What is F

_{1}if F

_{2}=7.6N and F

_{3}=5.9N?

- a) 1.03E+01 N
- b) 1.24E+01 N
- c) 1.51E+01 N
- d) 1.83E+01 N
- e) 2.21E+01 N

5) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.44E4 Pa
- b) 1.81E4 Pa
- c) 2.28E4 Pa
- d) 2.87E4 Pa
- e) 3.62E4 Pa

6) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 5.05 x 10
^{0}unit - b) 6.11 x 10
^{0}unit - c) 7.41 x 10
^{0}unit - d) 8.97 x 10
^{0}unit - e) 1.09 x 10
^{1}unit

7) What is the root-mean-square of 36, 6, and -23?

- a) 1.763 x 10
^{1} - b) 1.978 x 10
^{1} - c) 2.22 x 10
^{1} - d) 2.491 x 10
^{1} - e) 2.795 x 10
^{1}

8) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

- a) 2.09 m
- b) 2.24 m
- c) 2.39 m
- d) 2.56 m
- e) 2.74 m

10) If you toss a coin into the air, the velocity on the way down is

- a) zero
- b) up
- c) down

11) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 2m/s.
- b) 2.4m/s.
- c) 2.88m/s.
- d) 3.45m/s.
- e) 4.14m/s.

12) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

- a) 17.21 N.
- b) 19.79 N.
- c) 22.76 N.
- d) 26.17 N.
- e) 30.1 N.

13) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- a) 3.6 m.
- b) 4.32 m.
- c) 5.18 m.
- d) 6.21 m.
- e) 7.46 m.

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

15) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 26.0 meters
- c) 24.0 meters
- d) 27.0 meters
- e) 25.0 meters

#### FE R2[edit]

1) If you toss a coin into the air, the velocity on the way down is

- a) zero
- b) up
- c) down

- a) 26.0 meters
- b) 23.0 meters
- c) 27.0 meters
- d) 25.0 meters
- e) 24.0 meters

3) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 7.39 x 10
^{0}J - b) 8.95 x 10
^{0}J - c) 1.08 x 10
^{1}J - d) 1.31 x 10
^{1}J - e) 1.59 x 10
^{1}J

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- a) 1.67 x 10
^{3}J - b) 5.27 x 10
^{3}J - c) 1.67 x 10
^{4}J - d) 5.27 x 10
^{4}J - e) 1.67 x 10
^{5}J

- a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

6) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

7) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 4.16 x 10
^{0}unit - b) 5.04 x 10
^{0}unit - c) 6.1 x 10
^{0}unit - d) 7.39 x 10
^{0}unit - e) 8.96 x 10
^{0}unit

8) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- a) 27.11 N.
- b) 31.17 N.
- c) 35.85 N.
- d) 41.23 N.
- e) 47.41 N.

9) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.26E5
- b) 1.53E5
- c) 1.85E5
- d) 2.24E5
- e) 2.72E5

10) What is the root-mean-square of 5, 7, and 0?

- a) 4.426 x 10
^{0} - b) 4.967 x 10
^{0} - c) 5.573 x 10
^{0} - d) 6.253 x 10
^{0} - e) 7.015 x 10
^{0}

11) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

12) A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

- a) 15 N.
- b) 17.3 N.
- c) 19.8 N.
- d) 22.8 N.
- e) 26.2 N.

13) In the figure "3 tensions" shown above θ_{1} is 15 degrees, and θ_{3} is 36 degrees. The tension T_{3} is 39 N. What is the weight?

- a) 23.7 N.
- b) 27.3 N.
- c) 31.4 N.
- d) 36.1 N.
- e) 41.5 N.

14) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.14E4 Pa
- b) 1.44E4 Pa
- c) 1.81E4 Pa
- d) 2.28E4 Pa
- e) 2.87E4 Pa

15) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.49m/s.
- b) 1.79m/s.
- c) 2.15m/s.
- d) 2.58m/s.
- e) 3.09m/s.

### FE S0[edit]

1) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

2) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 12.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

4) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- a) the cloth is accelerating for such a brief time that there is little motion
- b) the cloth is more slippery when it is pulled quickly
- c) objects don't begin to accelerate until after the force has been applied

5) A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

- a) 27.5 N.
- b) 31.6 N.
- c) 36.4 N.
- d) 41.8 N.
- e) 48.1 N.

6) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s^{2}?

- a) 48.4 degrees
- b) 55.7 degrees
- c) 64 degrees
- d) 73.6 degrees
- e) 84.7 degrees

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- a) 27.32 N.
- b) 31.42 N.
- c) 36.13 N.
- d) 41.55 N.
- e) 47.78 N.

- a) 1.149 m/s
- b) 1.218 m/s
- c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

- a) 39 m/s.
- b) 42 m/s.
- c) 44 m/s.
- d) 48 m/s.
- e) 51 m/s.

_{1}= 6.5m, L

_{2}= 3.5m and L

_{3}= 8.8m. What is F

_{2}if F

_{1}=0.64N and F

_{3}=0N?

- a) 6.68E-01 N
- b) 8.10E-01 N
- c) 9.81E-01 N
- d) 1.19E+00 N
- e) 1.44E+00 N

^{2}. Two identical disks, each with mass 8.1 kg are attached. The larger disk has a diameter of 0.99 m, and the smaller disk has a diameter of 0.63 m. If a force of 87 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 9.12 x 10
^{0}s^{-2} - b) 1.11 x 10
^{1}s^{-2} - c) 1.34 x 10
^{1}s^{-2} - d) 1.62 x 10
^{1}s^{-2} - e) 1.97 x 10
^{1}s^{-2}

12) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is what is the force exerted by the water at the top surface?

- a) 6.10E3 N
- b) 7.68E3 N
- c) 9.67E3 N
- d) 1.22E4 N
- e) 1.53E4 N

13) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 8.2E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 7.98E0 m/s
- b) 9.67E0 m/s
- c) 1.17E1 m/s
- d) 1.42E1 m/s
- e) 1.72E1 m/s

14) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

- a) 3.08 x 10
^{2}m/s - b) 3.73 x 10
^{2}m/s - c) 4.52 x 10
^{2}m/s - d) 5.48 x 10
^{2}m/s - e) 6.64 x 10
^{2}m/s

- a) 2.37 x 10
^{0}unit - b) 2.87 x 10
^{0}unit - c) 3.47 x 10
^{0}unit - d) 4.21 x 10
^{0}unit - e) 5.1 x 10
^{0}unit

_{1}= 1.2 kPa, P

_{2}= 2.9 kPa. The volumes are V

_{1}= 2.6m

^{3}and V

_{4}= 4.7m

^{3}. How much work is done in in one cycle?

- a) 5.64 x 10
^{2}J - b) 1.79 x 10
^{3}J - c) 5.64 x 10
^{3}J - d) 1.79 x 10
^{4}J - e) 5.64 x 10
^{4}J

#### FE S1[edit]

1) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- a) objects don't begin to accelerate until after the force has been applied
- b) the cloth is accelerating for such a brief time that there is little motion
- c) the cloth is more slippery when it is pulled quickly

2) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- a) 53.3 degrees
- b) 61.3 degrees
- c) 70.5 degrees
- d) 81.1 degrees
- e) 93.3 degrees

- a) 41 m/s.
- b) 44 m/s.
- c) 47 m/s.
- d) 50 m/s.
- e) 54 m/s.

_{1}is 20 degrees , and θ

_{3}is 33 degrees . The mass has a

*weight*of 31 N. What is the tension, T

_{1}?

- a) 32.55 N.
- b) 37.44 N.
- c) 43.05 N.
- d) 49.51 N.
- e) 56.94 N.

5) A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

- a) 27.5 N.
- b) 31.6 N.
- c) 36.4 N.
- d) 41.8 N.
- e) 48.1 N.

6) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 7.12E3 N
- b) 8.96E3 N
- c) 1.13E4 N
- d) 1.42E4 N
- e) 1.79E4 N

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 12.0 meters

^{2}. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 1.48 x 10
^{1}s^{-2} - b) 1.8 x 10
^{1}s^{-2} - c) 2.18 x 10
^{1}s^{-2} - d) 2.64 x 10
^{1}s^{-2} - e) 3.19 x 10
^{1}s^{-2}

9) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

- a) 4.27 x 10
^{2}m/s - b) 5.17 x 10
^{2}m/s - c) 6.26 x 10
^{2}m/s - d) 7.59 x 10
^{2}m/s - e) 9.19 x 10
^{2}m/s

10) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 2.16 x 10
^{0}unit - b) 2.62 x 10
^{0}unit - c) 3.17 x 10
^{0}unit - d) 3.84 x 10
^{0}unit - e) 4.65 x 10
^{0}unit

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

12) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 8.2E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 7.98E0 m/s
- b) 9.67E0 m/s
- c) 1.17E1 m/s
- d) 1.42E1 m/s
- e) 1.72E1 m/s

_{1}= 6.9m, L

_{2}= 4.4m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.96N and F

_{3}=0.1N?

- a) 7.42E-01 N
- b) 8.99E-01 N
- c) 1.09E+00 N
- d) 1.32E+00 N
- e) 1.60E+00 N

14) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
- d) 1.291 m/s
- e) 1.368 m/s

15) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

_{1}= 1.9 kPa, P

_{2}= 3.6 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.3m

^{3}. How much work is done in in one cycle?

- a) 4.57 x 10
^{1}J - b) 1.45 x 10
^{2}J - c) 4.57 x 10
^{2}J - d) 1.45 x 10
^{3}J - e) 4.57 x 10
^{3}J

#### FE S2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

2) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
- d) 1.291 m/s
- e) 1.368 m/s

^{2}. Two identical disks, each with mass 3.9 kg are attached. The larger disk has a diameter of 0.9 m, and the smaller disk has a diameter of 0.46 m. If a force of 44 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 9.43 x 10
^{0}s^{-2} - b) 1.14 x 10
^{1}s^{-2} - c) 1.38 x 10
^{1}s^{-2} - d) 1.68 x 10
^{1}s^{-2} - e) 2.03 x 10
^{1}s^{-2}

4) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- a) 53.3 degrees
- b) 61.3 degrees
- c) 70.5 degrees
- d) 81.1 degrees
- e) 93.3 degrees

5) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 12.0 meters
- d) 8.0 meters
- e) 10.0 meters

6) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- a) the cloth is accelerating for such a brief time that there is little motion
- b) objects don't begin to accelerate until after the force has been applied
- c) the cloth is more slippery when it is pulled quickly

_{1}= 2.9 kPa, P

_{2}= 4 kPa. The volumes are V

_{1}= 2m

^{3}and V

_{4}= 3.2m

^{3}. How much work is done in in one cycle?

- a) 6.6 x 10
^{0}J - b) 2.09 x 10
^{1}J - c) 6.6 x 10
^{1}J - d) 2.09 x 10
^{2}J - e) 6.6 x 10
^{2}J

_{1}= 6.8m, L

_{2}= 4.8m and L

_{3}= 8.7m. What is F

_{2}if F

_{1}=0.89N and F

_{3}=0.1N?

- a) 8.91E-01 N
- b) 1.08E+00 N
- c) 1.31E+00 N
- d) 1.58E+00 N
- e) 1.92E+00 N

9) A mass with weight (mg) of 37 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 44 degrees. What is the tension in the string?

- a) 11.4 N.
- b) 13.1 N.
- c) 15.1 N.
- d) 17.4 N.
- e) 20 N.

- a) 43 m/s.
- b) 46 m/s.
- c) 49 m/s.
- d) 52 m/s.
- e) 56 m/s.

11) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- a) 1.48E4 N
- b) 1.87E4 N
- c) 2.35E4 N
- d) 2.96E4 N
- e) 3.73E4 N

_{1}is 17 degrees , and θ

_{3}is 29 degrees . The mass has a

*weight*of 29 N. What is the tension, T

_{1}?

- a) 20.16 N.
- b) 23.18 N.
- c) 26.66 N.
- d) 30.66 N.
- e) 35.26 N.

13) A large cylinder is filled with water so that the bottom is 5.7 m below the waterline. At the bottom is a small hole with a diameter of 5.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- a) 5.94E0 m/s
- b) 7.20E0 m/s
- c) 8.72E0 m/s
- d) 1.06E1 m/s
- e) 1.28E1 m/s

14) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

- a) 4.27 x 10
^{2}m/s - b) 5.17 x 10
^{2}m/s - c) 6.26 x 10
^{2}m/s - d) 7.59 x 10
^{2}m/s - e) 9.19 x 10
^{2}m/s

15) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.53 x 10
^{0}unit - b) 1.86 x 10
^{0}unit - c) 2.25 x 10
^{0}unit - d) 2.73 x 10
^{0}unit - e) 3.31 x 10
^{0}unit

16) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

### FE T0[edit]

1) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 5.0 meters
- c) 4.0 meters
- d) 6.0 meters
- e) 7.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

4) If you toss a coin into the air, the velocity on the way down is

- a) up
- b) down
- c) zero

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

6) A sled of mass 2.1 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.6 m/s^{2}?

- a) 56.3 degrees
- b) 64.7 degrees
- c) 74.4 degrees
- d) 85.6 degrees
- e) 98.4 degrees

*mass*is 3.7 kg. What is T

_{1}?

- a) 46.5 N.
- b) 55.8 N.
- c) 67 N.
- d) 80.4 N.
- e) 96.5 N.

- a) 1.044 kg
- b) 1.096 kg
- c) 1.151 kg
- d) 1.208 kg
- e) 1.269 kg

- a) 41 m/s.
- b) 44 m/s.
- c) 47 m/s.
- d) 50 m/s.
- e) 54 m/s.

_{1}= 6.7m, L

_{2}= 3.7m and L

_{3}= 7.9m. What is F

_{1}if F

_{2}=7.2N and F

_{3}=5.4N?

- a) 1.03E+01 N
- b) 1.25E+01 N
- c) 1.52E+01 N
- d) 1.84E+01 N
- e) 2.23E+01 N

11) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 5.16 x 10
^{0}J - b) 6.25 x 10
^{0}J - c) 7.58 x 10
^{0}J - d) 9.18 x 10
^{0}J - e) 1.11 x 10
^{1}J

12) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.72E4 Pa
- b) 4.51E4 Pa
- c) 5.47E4 Pa
- d) 6.62E4 Pa
- e) 8.02E4 Pa

13) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 6.30E1 mm
- b) 7.63E1 mm
- c) 9.24E1 mm
- d) 1.12E2 mm
- e) 1.36E2 mm

14) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

- a) 1.31 x 10
^{2}m/s - b) 1.59 x 10
^{2}m/s - c) 1.93 x 10
^{2}m/s - d) 2.33 x 10
^{2}m/s - e) 2.83 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

- a) 2.7 x 10
^{-1} - b) 3.2 x 10
^{-1} - c) 3.8 x 10
^{-1} - d) 4.5 x 10
^{-1} - e) 5.3 x 10
^{-1}

#### FE T1[edit]

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 2.9m

^{3}and V

_{4}= 5.8m

^{3}. What is the temperature at step 4?

- a) 8.59 x 10
^{0}K - b) 2.71 x 10
^{1}K - c) 8.59 x 10
^{1}K - d) 2.71 x 10
^{2}K - e) 8.59 x 10
^{2}K

2) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s^{2}?

- a) 36.3 degrees
- b) 41.7 degrees
- c) 47.9 degrees
- d) 55.1 degrees
- e) 63.4 degrees

3) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

4) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 5.16 x 10
^{0}J - b) 6.25 x 10
^{0}J - c) 7.58 x 10
^{0}J - d) 9.18 x 10
^{0}J - e) 1.11 x 10
^{1}J

5) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.88E4 Pa
- b) 4.70E4 Pa
- c) 5.70E4 Pa
- d) 6.90E4 Pa
- e) 8.37E4 Pa

6) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 6.30E1 mm
- b) 7.63E1 mm
- c) 9.24E1 mm
- d) 1.12E2 mm
- e) 1.36E2 mm

_{1}= 6.9m, L

_{2}= 4.3m and L

_{3}= 8m. What is F

_{1}if F

_{2}=8.4N and F

_{3}=5.2N?

- a) 7.67E+00 N
- b) 9.30E+00 N
- c) 1.13E+01 N
- d) 1.36E+01 N
- e) 1.65E+01 N

8) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

- a) 0.559 kg
- b) 0.587 kg
- c) 0.617 kg
- d) 0.648 kg
- e) 0.680 kg

10) If you toss a coin into the air, the velocity on the way down is

- a) zero
- b) up
- c) down

- a) 43 m/s.
- b) 46 m/s.
- c) 49 m/s.
- d) 52 m/s.
- e) 56 m/s.

*mass*is 2.5 kg. What is T

_{1}?

- a) 32.5 N.
- b) 39 N.
- c) 46.8 N.
- d) 56.2 N.
- e) 67.4 N.

13) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 4.0 meters

14) If a molecule with atomic mass equal to 5 amu has a speed of 263 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 21 ?

- a) 7.22 x 10
^{1}m/s - b) 8.74 x 10
^{1}m/s - c) 1.06 x 10
^{2}m/s - d) 1.28 x 10
^{2}m/s - e) 1.55 x 10
^{2}m/s

15) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

16) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. What fraction of the heat went into the aluminum?

- a) 5.2 x 10
^{-1} - b) 6.1 x 10
^{-1} - c) 7.2 x 10
^{-1} - d) 8.5 x 10
^{-1} - e) 1 x 10
^{0}

#### FE T2[edit]

1) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

- a) 43 m/s.
- b) 46 m/s.
- c) 49 m/s.
- d) 52 m/s.
- e) 56 m/s.

3) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.3N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.5 m/s^{2}?

- a) 70.3 degrees
- b) 80.9 degrees
- c) 93 degrees
- d) 106.9 degrees
- e) 123 degrees

4) If a molecule with atomic mass equal to 6 amu has a speed of 217 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 30 ?

- a) 5.46 x 10
^{1}m/s - b) 6.61 x 10
^{1}m/s - c) 8.01 x 10
^{1}m/s - d) 9.7 x 10
^{1}m/s - e) 1.18 x 10
^{2}m/s

_{1}= 2.6 kPa, P

_{2}= 4.9 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 3.5m

^{3}. What is the temperature at step 4?

- a) 5.47 x 10
^{1}K - b) 1.73 x 10
^{2}K - c) 5.47 x 10
^{2}K - d) 1.73 x 10
^{3}K - e) 5.47 x 10
^{3}K

6) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- a) 3.8 m/s
^{2}. - b) 4.3 m/s
^{2}. - c) 5 m/s
^{2}. - d) 5.7 m/s
^{2}. - e) 6.6 m/s
^{2}.

_{1}= 6.4m, L

_{2}= 4.3m and L

_{3}= 8.3m. What is F

_{1}if F

_{2}=7.1N and F

_{3}=5.2N?

- a) 9.50E+00 N
- b) 1.15E+01 N
- c) 1.39E+01 N
- d) 1.69E+01 N
- e) 2.05E+01 N

8) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

- a) 2.8 x 10
^{-1} - b) 3.3 x 10
^{-1} - c) 3.9 x 10
^{-1} - d) 4.6 x 10
^{-1} - e) 5.5 x 10
^{-1}

- a) 0.201 kg
- b) 0.211 kg
- c) 0.222 kg
- d) 0.233 kg
- e) 0.244 kg

10) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 6.30E1 mm
- b) 7.63E1 mm
- c) 9.24E1 mm
- d) 1.12E2 mm
- e) 1.36E2 mm

*mass*is 2.8 kg. What is T

_{1}?

- a) 21.2 N.
- b) 25.4 N.
- c) 30.5 N.
- d) 36.6 N.
- e) 43.9 N.

12) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 6.0 meters
- d) 4.0 meters
- e) 3.0 meters

13) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.40E4 Pa
- b) 4.12E4 Pa
- c) 4.99E4 Pa
- d) 6.04E4 Pa
- e) 7.32E4 Pa

14) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- a) 1m/s/s.
- b) 1.2m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.07m/s/s.

15) If you toss a coin into the air, the velocity on the way down is

- a) down
- b) zero
- c) up

16) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 4.51 x 10
^{0}J - b) 5.46 x 10
^{0}J - c) 6.62 x 10
^{0}J - d) 8.02 x 10
^{0}J - e) 9.72 x 10
^{0}J

### FE U0[edit]

1) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

2) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 1.0 meters
- d) 5.0 meters
- e) 2.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

4) A car is traveling east and speeding up. The acceleration is

- a) to the east
- b) to the west
- c) zero

5) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

- a) 4.6 m/s
^{2}. - b) 5.3 m/s
^{2}. - c) 6.1 m/s
^{2}. - d) 7 m/s
^{2}. - e) 8.1 m/s
^{2}.

6) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- a) 27.11 N.
- b) 31.17 N.
- c) 35.85 N.
- d) 41.23 N.
- e) 47.41 N.

*mass*is 2.7 kg. What is T

_{1}?

- a) 40.7 N.
- b) 48.9 N.
- c) 58.7 N.
- d) 70.4 N.
- e) 84.5 N.

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
- d) 1.291 m/s
- e) 1.368 m/s

9) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

- a) 741 kg
- b) 889 kg
- c) 1067 kg
- d) 1280 kg
- e) 1537 kg

_{1}= 6.8m, L

_{2}= 4.2m and L

_{3}= 8.9m. What is F

_{1}if F

_{2}=7.7N and F

_{3}=6.3N?

- a) 6.03E+00 N
- b) 7.31E+00 N
- c) 8.86E+00 N
- d) 1.07E+01 N
- e) 1.30E+01 N

11) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

- a) 9.42 x 10
^{-1}kg m^{2}/s^{2} - b) 1.14 x 10
^{0}kg m^{2}/s^{2} - c) 1.38 x 10
^{0}kg m^{2}/s^{2} - d) 1.67 x 10
^{0}kg m^{2}/s^{2} - e) 2.03 x 10
^{0}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 8.07E3 N
- b) 9.78E3 N
- c) 1.18E4 N
- d) 1.44E4 N
- e) 1.74E4 N

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

14) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 65 degrees Fahrenheit?

- a) 5.11 x 10
^{2}m/s - b) 6.19 x 10
^{2}m/s - c) 7.49 x 10
^{2}m/s - d) 9.08 x 10
^{2}m/s - e) 1.1 x 10
^{3}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

- a) 7.88 x 10
^{4}J - b) 9.29 x 10
^{4}J - c) 1.1 x 10
^{5}J - d) 1.29 x 10
^{5}J - e) 1.52 x 10
^{5}J

#### FE U1[edit]

1) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 1.0 meters
- b) 3.0 meters
- c) 2.0 meters
- d) 4.0 meters
- e) 5.0 meters

*mass*is 2.7 kg. What is T

_{1}?

- a) 40.7 N.
- b) 48.9 N.
- c) 58.7 N.
- d) 70.4 N.
- e) 84.5 N.

3) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

_{1}= 6.5m, L

_{2}= 4.1m and L

_{3}= 7.5m. What is F

_{1}if F

_{2}=9N and F

_{3}=5.2N?

- a) 9.64E+00 N
- b) 1.17E+01 N
- c) 1.41E+01 N
- d) 1.71E+01 N
- e) 2.08E+01 N

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

6) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

- a) 4.6 m/s
^{2}. - b) 5.3 m/s
^{2}. - c) 6.1 m/s
^{2}. - d) 7 m/s
^{2}. - e) 8.1 m/s
^{2}.

7) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the moment of inertia?

- a) 2.4 x 10
^{-1}kg m^{2}/s^{2} - b) 2.9 x 10
^{-1}kg m^{2}/s^{2} - c) 3.52 x 10
^{-1}kg m^{2}/s^{2} - d) 4.26 x 10
^{-1}kg m^{2}/s^{2} - e) 5.16 x 10
^{-1}kg m^{2}/s^{2}

8) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 5.70E3
- b) 6.90E3
- c) 8.36E3
- d) 1.01E4
- e) 1.23E4

9) What is the rms speed of a molecule with an atomic mass of 7 if the temperature is 107 degrees Fahrenheit?

- a) 7.22 x 10
^{2}m/s - b) 8.74 x 10
^{2}m/s - c) 1.06 x 10
^{3}m/s - d) 1.28 x 10
^{3}m/s - e) 1.55 x 10
^{3}m/s

10) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

- a) 24.29 N.
- b) 27.93 N.
- c) 32.12 N.
- d) 36.94 N.
- e) 42.48 N.

11) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

12) A car is traveling east and speeding up. The acceleration is

- a) zero
- b) to the west
- c) to the east

13) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

- a) 1427 kg
- b) 1712 kg
- c) 2055 kg
- d) 2466 kg
- e) 2959 kg

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. How much heat does it take to raise both from 54.4 C to 78.1 C?

- a) 2.43 x 10
^{4}J - b) 2.86 x 10
^{4}J - c) 3.38 x 10
^{4}J - d) 3.98 x 10
^{4}J - e) 4.69 x 10
^{4}J

_{1}= 2.9 kPa, P

_{2}= 4.7 kPa. The volumes are V

_{1}= 2.7m

^{3}and V

_{4}= 5.6m

^{3}. What is the temperature at step 4?

- a) 1.03 x 10
^{1}K - b) 3.25 x 10
^{1}K - c) 1.03 x 10
^{2}K - d) 3.25 x 10
^{2}K - e) 1.03 x 10
^{3}K

16) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.56E3 N
- b) 6.74E3 N
- c) 8.16E3 N
- d) 9.89E3 N
- e) 1.20E4 N

#### FE U2[edit]

_{1}= 2.9 kPa, P

_{2}= 4.7 kPa. The volumes are V

_{1}= 2.7m

^{3}and V

_{4}= 5.6m

^{3}. What is the temperature at step 4?

- a) 1.03 x 10
^{1}K - b) 3.25 x 10
^{1}K - c) 1.03 x 10
^{2}K - d) 3.25 x 10
^{2}K - e) 1.03 x 10
^{3}K

2) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

3) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 1.0 meters
- c) 2.0 meters
- d) 4.0 meters
- e) 5.0 meters

*mass*is 2.5 kg. What is T

_{1}?

- a) 32.5 N.
- b) 39 N.
- c) 46.8 N.
- d) 56.2 N.
- e) 67.4 N.

5) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.3N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- a) 21.31 N.
- b) 24.5 N.
- c) 28.18 N.
- d) 32.4 N.
- e) 37.26 N.

6) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

7) A car is traveling east and speeding up. The acceleration is

- a) to the west
- b) to the east
- c) zero

8) A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

- a) 6.4 m/s
^{2}. - b) 7.3 m/s
^{2}. - c) 8.4 m/s
^{2}. - d) 9.7 m/s
^{2}. - e) 11.1 m/s
^{2}.

9) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.91E3
- b) 2.31E3
- c) 2.80E3
- d) 3.39E3
- e) 4.11E3

_{1}= 5.3m, L

_{2}= 3.3m and L

_{3}= 8.7m. What is F

_{1}if F

_{2}=8.7N and F

_{3}=6N?

- a) 7.09E+00 N
- b) 8.58E+00 N
- c) 1.04E+01 N
- d) 1.26E+01 N
- e) 1.53E+01 N

11) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

12) What is the rms speed of a molecule with an atomic mass of 11 if the temperature is 102 degrees Fahrenheit?

- a) 3.9 x 10
^{2}m/s - b) 4.73 x 10
^{2}m/s - c) 5.73 x 10
^{2}m/s - d) 6.94 x 10
^{2}m/s - e) 8.41 x 10
^{2}m/s

13) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- a) 1124 kg
- b) 1348 kg
- c) 1618 kg
- d) 1942 kg
- e) 2330 kg

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- a) 1.59 x 10
^{4}J - b) 1.87 x 10
^{4}J - c) 2.2 x 10
^{4}J - d) 2.6 x 10
^{4}J - e) 3.06 x 10
^{4}J

15) A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the moment of inertia?

- a) 4.02 x 10
^{-1}kg m^{2}/s^{2} - b) 4.87 x 10
^{-1}kg m^{2}/s^{2} - c) 5.91 x 10
^{-1}kg m^{2}/s^{2} - d) 7.16 x 10
^{-1}kg m^{2}/s^{2} - e) 8.67 x 10
^{-1}kg m^{2}/s^{2}

16) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.56E3 N
- b) 6.73E3 N
- c) 8.16E3 N
- d) 9.89E3 N
- e) 1.20E4 N

### FE V0[edit]

1) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

2) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 7.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

4) If you toss a coin into the air, the velocity on the way up is

- a) zero
- b) down
- c) up

5) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

- a) 15.4 N.
- b) 17.7 N.
- c) 20.4 N.
- d) 23.5 N.
- e) 27 N.

6) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s^{2}?

- a) 48.4 degrees
- b) 55.7 degrees
- c) 64 degrees
- d) 73.6 degrees
- e) 84.7 degrees

_{1}is 16 degrees , and θ

_{3}is 35 degrees . The mass has a 'weight' of 28 N. What is the tension, T

_{1}?

- a) 19.41 N.
- b) 22.32 N.
- c) 25.66 N.
- d) 29.51 N.
- e) 33.94 N.

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
- d) 1.291 m/s
- e) 1.368 m/s

9) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

- a) 3326 kg
- b) 3991 kg
- c) 4789 kg
- d) 5747 kg
- e) 6896 kg

- a) 3.65E+01 N
- b) 4.60E+01 N
- c) 5.79E+01 N
- d) 7.28E+01 N
- e) 9.17E+01 N

11) A car with a tire radius of 0.23 m accelerates from 0 to 31 m/s in 11.3 seconds. What is the angular acceleration of the wheel?

- a) 9.85 x 10
^{0}m - b) 1.19 x 10
^{1}m - c) 1.45 x 10
^{1}m - d) 1.75 x 10
^{1}m - e) 2.12 x 10
^{1}m

12) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.44E4 Pa
- b) 1.81E4 Pa
- c) 2.28E4 Pa
- d) 2.87E4 Pa
- e) 3.62E4 Pa

13) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 37.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 9.34E2 mm
- b) 1.13E3 mm
- c) 1.37E3 mm
- d) 1.66E3 mm
- e) 2.01E3 mm

14) What is the root-mean-square of -19, -16, and -19?

- a) 1.278 x 10
^{1} - b) 1.434 x 10
^{1} - c) 1.609 x 10
^{1} - d) 1.806 x 10
^{1} - e) 2.026 x 10
^{1}

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

- a) 2.7 x 10
^{-1} - b) 3.2 x 10
^{-1} - c) 3.8 x 10
^{-1} - d) 4.5 x 10
^{-1} - e) 5.3 x 10
^{-1}

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 1.34 x 10
^{2}J - b) 4.23 x 10
^{2}J - c) 1.34 x 10
^{3}J - d) 4.23 x 10
^{3}J - e) 1.34 x 10
^{4}J

#### FE V1[edit]

1) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 7.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 10.0 meters

_{1}= 1.7 kPa, P

_{2}= 4.5 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 2.7m

^{3}. How much work is involved between 2 and 4?

- a) 1.08 x 10
^{3}J - b) 3.41 x 10
^{3}J - c) 1.08 x 10
^{4}J - d) 3.41 x 10
^{4}J - e) 1.08 x 10
^{5}J

3) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 1.35E2 mm
- b) 1.63E2 mm
- c) 1.98E2 mm
- d) 2.40E2 mm
- e) 2.90E2 mm

_{1}is 20 degrees , and θ

_{3}is 37 degrees . The mass has a

*weight*of 41 N. What is the tension, T

_{1}?

- a) 29.52 N.
- b) 33.95 N.
- c) 39.04 N.
- d) 44.9 N.
- e) 51.63 N.

5) A car with a tire radius of 0.37 m accelerates from 0 to 28 m/s in 11.9 seconds. What is the angular acceleration of the wheel?

- a) 6.36 x 10
^{0}m - b) 7.7 x 10
^{0}m - c) 9.33 x 10
^{0}m - d) 1.13 x 10
^{1}m - e) 1.37 x 10
^{1}m

6) What is the root-mean-square of 28, 21, and 32?

- a) 2.44 x 10
^{1} - b) 2.738 x 10
^{1} - c) 3.072 x 10
^{1} - d) 3.447 x 10
^{1} - e) 3.868 x 10
^{1}

7) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- a) 1883 kg
- b) 2259 kg
- c) 2711 kg
- d) 3253 kg
- e) 3904 kg

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
- d) 1.291 m/s
- e) 1.368 m/s

9) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.8 x 10
^{-1} - b) 4.4 x 10
^{-1} - c) 5.2 x 10
^{-1} - d) 6.2 x 10
^{-1} - e) 7.3 x 10
^{-1}

10) If you toss a coin into the air, the velocity on the way up is

- a) up
- b) zero
- c) down

11) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s^{2}?

- a) 48.4 degrees
- b) 55.7 degrees
- c) 64 degrees
- d) 73.6 degrees
- e) 84.7 degrees

12) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

- a) 5.95E+01 N
- b) 7.49E+01 N
- c) 9.42E+01 N
- d) 1.19E+02 N
- e) 1.49E+02 N

14) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

15) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- a) 1.44E4 Pa
- b) 1.81E4 Pa
- c) 2.28E4 Pa
- d) 2.87E4 Pa
- e) 3.62E4 Pa

16) A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

- a) 9.9 N.
- b) 11.4 N.
- c) 13.1 N.
- d) 15.1 N.
- e) 17.3 N.

#### FE V2[edit]

1) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 1.23E2 mm
- b) 1.48E2 mm
- c) 1.80E2 mm
- d) 2.18E2 mm
- e) 2.64E2 mm

2) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 16.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s^{2}?

- a) 34.6 degrees
- b) 39.8 degrees
- c) 45.8 degrees
- d) 52.7 degrees
- e) 60.6 degrees

3) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

4) What is the root-mean-square of 36, 6, and -23?

- a) 1.763 x 10
^{1} - b) 1.978 x 10
^{1} - c) 2.22 x 10
^{1} - d) 2.491 x 10
^{1} - e) 2.795 x 10
^{1}

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- a) 27.32 N.
- b) 31.42 N.
- c) 36.13 N.
- d) 41.55 N.
- e) 47.78 N.

6) A car of mass 841 kg is driving on an icy road at a speed of 21 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

- a) 1622 kg
- b) 1947 kg
- c) 2336 kg
- d) 2803 kg
- e) 3364 kg

7) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

- a) 3.65E+01 N
- b) 4.60E+01 N
- c) 5.79E+01 N
- d) 7.28E+01 N
- e) 9.17E+01 N

_{1}= 2 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 3.1m

^{3}. How much work is involved between 2 and 4?

- a) 1.64 x 10
^{3}J - b) 5.2 x 10
^{3}J - c) 1.64 x 10
^{4}J - d) 5.2 x 10
^{4}J - e) 1.64 x 10
^{5}J

10) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is is the force exerted by the fluid on the bottom of the cylinder?

- a) 2.35E4 Pa
- b) 2.95E4 Pa
- c) 3.72E4 Pa
- d) 4.68E4 Pa
- e) 5.90E4 Pa

11) A car with a tire radius of 0.23 m accelerates from 0 to 31 m/s in 11.3 seconds. What is the angular acceleration of the wheel?

- a) 9.85 x 10
^{0}m - b) 1.19 x 10
^{1}m - c) 1.45 x 10
^{1}m - d) 1.75 x 10
^{1}m - e) 2.12 x 10
^{1}m

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

13) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.4 x 10
^{-1} - b) 4.1 x 10
^{-1} - c) 4.8 x 10
^{-1} - d) 5.6 x 10
^{-1} - e) 6.6 x 10
^{-1}

14) If you toss a coin into the air, the velocity on the way up is

- a) down
- b) up
- c) zero

15) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

- a) 27.4 N.
- b) 31.5 N.
- c) 36.2 N.
- d) 41.7 N.
- e) 47.9 N.

16) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 7.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 8.0 meters

### FE W0[edit]

1) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 4.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 3.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

4) If you toss a coin into the air, the velocity on the way up is

- a) up
- b) down
- c) zero

5) A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

- a) 7.3 m/s
^{2}. - b) 8.4 m/s
^{2}. - c) 9.7 m/s
^{2}. - d) 11.1 m/s
^{2}. - e) 12.8 m/s
^{2}.

6) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 45.6N at an angle of 36 degress above the horizontal. What is the normal force?

- a) 23.45 N.
- b) 26.97 N.
- c) 31.02 N.
- d) 35.67 N.
- e) 41.02 N.

7) In the figure "3 tensions" shown above θ_{1} is 15 degrees, and θ_{3} is 36 degrees. The tension T_{3} is 39 N. What is the weight?

- a) 23.7 N.
- b) 27.3 N.
- c) 31.4 N.
- d) 36.1 N.
- e) 41.5 N.

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

- a) 44 m/s.
- b) 47 m/s.
- c) 50 m/s.
- d) 54 m/s.
- e) 57 m/s.

_{1}= 6.4m, L

_{2}= 3.7m and L

_{3}= 8.4m. What is F

_{2}if F

_{1}=0.7N and F

_{3}=0N?

- a) 5.62E-01 N
- b) 6.81E-01 N
- c) 8.25E-01 N
- d) 9.99E-01 N
- e) 1.21E+00 N

11) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

- a) 9.42 x 10
^{-1}kg m^{2}/s^{2} - b) 1.14 x 10
^{0}kg m^{2}/s^{2} - c) 1.38 x 10
^{0}kg m^{2}/s^{2} - d) 1.67 x 10
^{0}kg m^{2}/s^{2} - e) 2.03 x 10
^{0}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.07E4 Pa
- b) 3.72E4 Pa
- c) 4.51E4 Pa
- d) 5.46E4 Pa
- e) 6.62E4 Pa

13) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.24E5
- b) 1.50E5
- c) 1.82E5
- d) 2.20E5
- e) 2.66E5

14) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

- a) 1.31 x 10
^{2}m/s - b) 1.59 x 10
^{2}m/s - c) 1.93 x 10
^{2}m/s - d) 2.33 x 10
^{2}m/s - e) 2.83 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 3.16 x 10
^{0}km - b) 3.83 x 10
^{0}km - c) 4.64 x 10
^{0}km - d) 5.62 x 10
^{0}km - e) 6.81 x 10
^{0}km

#### FE W1[edit]

1) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

2) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.83E4 Pa
- b) 3.43E4 Pa
- c) 4.16E4 Pa
- d) 5.03E4 Pa
- e) 6.10E4 Pa

3) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 4.68 x 10
^{0}km - b) 5.67 x 10
^{0}km - c) 6.87 x 10
^{0}km - d) 8.32 x 10
^{0}km - e) 1.01 x 10
^{1}km

4) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 43N at an angle of 55 degress above the horizontal. What is the normal force?

- a) 10.99 N.
- b) 12.64 N.
- c) 14.54 N.
- d) 16.72 N.
- e) 19.22 N.

5) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 4.0 meters
- d) 3.0 meters
- e) 6.0 meters

6) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.08E4
- b) 1.31E4
- c) 1.58E4
- d) 1.92E4
- e) 2.32E4

7) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

- a) 9.2 m/s
^{2}. - b) 10.5 m/s
^{2}. - c) 12.1 m/s
^{2}. - d) 13.9 m/s
^{2}. - e) 16 m/s
^{2}.

- a) 47 m/s.
- b) 51 m/s.
- c) 54 m/s.
- d) 58 m/s.
- e) 62 m/s.

9) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

- a) 1.89 x 10
^{-1}kg m^{2}/s^{2} - b) 2.29 x 10
^{-1}kg m^{2}/s^{2} - c) 2.77 x 10
^{-1}kg m^{2}/s^{2} - d) 3.36 x 10
^{-1}kg m^{2}/s^{2} - e) 4.07 x 10
^{-1}kg m^{2}/s^{2}

10) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
- c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

11) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

_{1}= 1.2 kPa, P

_{2}= 2.9 kPa. The volumes are V

_{1}= 2.6m

^{3}and V

_{4}= 4.7m

^{3}. How much work is done in in one cycle?

- a) 5.64 x 10
^{2}J - b) 1.79 x 10
^{3}J - c) 5.64 x 10
^{3}J - d) 1.79 x 10
^{4}J - e) 5.64 x 10
^{4}J

_{1}= 6.4m, L

_{2}= 3.4m and L

_{3}= 7.1m. What is F

_{2}if F

_{1}=0.87N and F

_{3}=0.1N?

- a) 1.43E+00 N
- b) 1.73E+00 N
- c) 2.10E+00 N
- d) 2.54E+00 N
- e) 3.08E+00 N

14) If a molecule with atomic mass equal to 9 amu has a speed of 249 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 6.23 x 10
^{1}m/s - b) 7.54 x 10
^{1}m/s - c) 9.14 x 10
^{1}m/s - d) 1.11 x 10
^{2}m/s - e) 1.34 x 10
^{2}m/s

15) In the figure "3 tensions" shown above θ_{1} is 15 degrees, and θ_{3} is 36 degrees. The tension T_{3} is 39 N. What is the weight?

- a) 23.7 N.
- b) 27.3 N.
- c) 31.4 N.
- d) 36.1 N.
- e) 41.5 N.

16) If you toss a coin into the air, the velocity on the way up is

- a) down
- b) zero
- c) up

#### FE W2[edit]

1) A lead filled bicycle wheel of radius 0.38 m and mass 2.8 kg is rotating at a frequency of 1.7 revolutions per second. What is the moment of inertia?

- a) 3.34 x 10
^{-1}kg m^{2}/s^{2} - b) 4.04 x 10
^{-1}kg m^{2}/s^{2} - c) 4.9 x 10
^{-1}kg m^{2}/s^{2} - d) 5.93 x 10
^{-1}kg m^{2}/s^{2} - e) 7.19 x 10
^{-1}kg m^{2}/s^{2}

_{1}= 6.6m, L

_{2}= 4.3m and L

_{3}= 8.9m. What is F

_{2}if F

_{1}=0.77N and F

_{3}=0.1N?

- a) 8.05E-01 N
- b) 9.75E-01 N
- c) 1.18E+00 N
- d) 1.43E+00 N
- e) 1.73E+00 N

3) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.74E4 Pa
- b) 3.32E4 Pa
- c) 4.02E4 Pa
- d) 4.87E4 Pa
- e) 5.90E4 Pa

4) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- a) 3.8 m/s
^{2}. - b) 4.3 m/s
^{2}. - c) 5 m/s
^{2}. - d) 5.7 m/s
^{2}. - e) 6.6 m/s
^{2}.

5) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- a) 40.3 N.
- b) 46.4 N.
- c) 53.3 N.
- d) 61.3 N.
- e) 70.5 N.

6) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.24E5
- b) 1.50E5
- c) 1.82E5
- d) 2.20E5
- e) 2.66E5

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 3.0 meters
- c) 4.0 meters
- d) 7.0 meters
- e) 6.0 meters

8) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 8.8 x 10
^{1}m/s - b) 1.07 x 10
^{2}m/s - c) 1.29 x 10
^{2}m/s - d) 1.56 x 10
^{2}m/s - e) 1.9 x 10
^{2}m/s

9) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

10) If you toss a coin into the air, the velocity on the way up is

- a) down
- b) up
- c) zero

11) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- a) 1m/s/s.
- b) 1.2m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.07m/s/s.

12) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 45.6N at an angle of 36 degress above the horizontal. What is the normal force?

- a) 23.45 N.
- b) 26.97 N.
- c) 31.02 N.
- d) 35.67 N.
- e) 41.02 N.

13) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 5.24 x 10
^{0}km - b) 6.35 x 10
^{0}km - c) 7.7 x 10
^{0}km - d) 9.32 x 10
^{0}km - e) 1.13 x 10
^{1}km

- a) 55 m/s.
- b) 58 m/s.
- c) 62 m/s.
- d) 67 m/s.
- e) 71 m/s.

15) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
- c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

_{1}= 2.5 kPa, P

_{2}= 4.5 kPa. The volumes are V

_{1}= 1.4m

^{3}and V

_{4}= 2.9m

^{3}. How much work is done in in one cycle?

- a) 4.74 x 10
^{2}J - b) 1.5 x 10
^{3}J - c) 4.74 x 10
^{3}J - d) 1.5 x 10
^{4}J - e) 4.74 x 10
^{4}J

### FE X0[edit]

1) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

2) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 10.0 meters
- d) 7.0 meters
- e) 8.0 meters

3) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

4) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) north
- b) west
- c) east
- d) zero
- e) south

5) A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

- a) 0.31
- b) 0.37
- c) 0.44
- d) 0.53
- e) 0.64

6) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.3N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- a) 21.31 N.
- b) 24.5 N.
- c) 28.18 N.
- d) 32.4 N.
- e) 37.26 N.

_{1}is 15 degrees, and θ

_{3}is 36 degrees. The tension T

_{3}is 39 N. What is the tension, T

_{1}?

- a) 32.66 N.
- b) 37.56 N.
- c) 43.2 N.
- d) 49.68 N.
- e) 57.13 N.

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

9) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- a) 1507 kg
- b) 1809 kg
- c) 2170 kg
- d) 2604 kg
- e) 3125 kg

- a) 7.50E+01 N
- b) 9.09E+01 N
- c) 1.10E+02 N
- d) 1.33E+02 N
- e) 1.62E+02 N

11) A car with a tire radius of 0.24 m accelerates from 0 to 33 m/s in 8.5 seconds. What is the angular acceleration of the wheel?

- a) 1.34 x 10
^{1}m - b) 1.62 x 10
^{1}m - c) 1.96 x 10
^{1}m - d) 2.37 x 10
^{1}m - e) 2.88 x 10
^{1}m

12) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.07E4 Pa
- b) 3.72E4 Pa
- c) 4.51E4 Pa
- d) 5.46E4 Pa
- e) 6.62E4 Pa

13) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 7.72E-1 m/s
- b) 9.36E-1 m/s
- c) 1.13E0 m/s
- d) 1.37E0 m/s
- e) 1.66E0 m/s

14) If a molecule with atomic mass equal to 4 amu has a speed of 353 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

- a) 7.64 x 10
^{1}m/s - b) 9.26 x 10
^{1}m/s - c) 1.12 x 10
^{2}m/s - d) 1.36 x 10
^{2}m/s - e) 1.65 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

- a) 2.7 x 10
^{-1} - b) 3.2 x 10
^{-1} - c) 3.8 x 10
^{-1} - d) 4.5 x 10
^{-1} - e) 5.3 x 10
^{-1}

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.56 x 10
^{3}J - b) 8.1 x 10
^{3}J - c) 2.56 x 10
^{4}J - d) 8.1 x 10
^{4}J - e) 2.56 x 10
^{5}J

#### FE X1[edit]

1) A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

- a) 0.52
- b) 0.63
- c) 0.76
- d) 0.91
- e) 1.09

2) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

4) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

- a) 17.21 N.
- b) 19.79 N.
- c) 22.76 N.
- d) 26.17 N.
- e) 30.1 N.

5) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 6.01E-1 m/s
- b) 7.29E-1 m/s
- c) 8.83E-1 m/s
- d) 1.07E0 m/s
- e) 1.30E0 m/s

- a) 7.15E+01 N
- b) 8.67E+01 N
- c) 1.05E+02 N
- d) 1.27E+02 N
- e) 1.54E+02 N

7) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) east
- b) north
- c) south
- d) zero
- e) west

8) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 11.0 meters

9) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

10) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.26E4 Pa
- b) 2.74E4 Pa
- c) 3.32E4 Pa
- d) 4.02E4 Pa
- e) 4.87E4 Pa

11) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- a) 1507 kg
- b) 1809 kg
- c) 2170 kg
- d) 2604 kg
- e) 3125 kg

_{1}is 17 degrees, and θ

_{3}is 29 degrees. The tension T

_{3}is 12 N. What is the tension, T

_{1}?

- a) 6.27 N.
- b) 7.22 N.
- c) 8.3 N.
- d) 9.54 N.
- e) 10.97 N.

13) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 8.8 x 10
^{1}m/s - b) 1.07 x 10
^{2}m/s - c) 1.29 x 10
^{2}m/s - d) 1.56 x 10
^{2}m/s - e) 1.9 x 10
^{2}m/s

14) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

- a) 1.26 x 10
^{1}m - b) 1.52 x 10
^{1}m - c) 1.84 x 10
^{1}m - d) 2.23 x 10
^{1}m - e) 2.7 x 10
^{1}m

15) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

16) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. What fraction of the heat went into the aluminum?

- a) 3.3 x 10
^{-1} - b) 3.8 x 10
^{-1} - c) 4.5 x 10
^{-1} - d) 5.3 x 10
^{-1} - e) 6.3 x 10
^{-1}

#### FE X2[edit]

1) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.26E4 Pa
- b) 2.74E4 Pa
- c) 3.32E4 Pa
- d) 4.02E4 Pa
- e) 4.87E4 Pa

2) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

3) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. What fraction of the heat went into the aluminum?

- a) 3.3 x 10
^{-1} - b) 3.8 x 10
^{-1} - c) 4.5 x 10
^{-1} - d) 5.3 x 10
^{-1} - e) 6.3 x 10
^{-1}

4) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

5) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 41.2N at an angle of 42 degress above the horizontal. What is the magnitude of the friction?

- a) 23.15 N.
- b) 26.62 N.
- c) 30.62 N.
- d) 35.21 N.
- e) 40.49 N.

6) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

- a) 3326 kg
- b) 3991 kg
- c) 4789 kg
- d) 5747 kg
- e) 6896 kg

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 1.81 x 10
^{2}J - b) 5.72 x 10
^{2}J - c) 1.81 x 10
^{3}J - d) 5.72 x 10
^{3}J - e) 1.81 x 10
^{4}J

8) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 7.0 meters
- e) 8.0 meters

_{1}is 15 degrees, and θ

_{3}is 37 degrees. The tension T

_{3}is 22 N. What is the tension, T

_{1}?

- a) 11.96 N.
- b) 13.75 N.
- c) 15.82 N.
- d) 18.19 N.
- e) 20.92 N.

- a) 3.10E+01 N
- b) 3.76E+01 N
- c) 4.55E+01 N
- d) 5.51E+01 N
- e) 6.68E+01 N

11) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 5.01E-1 m/s
- b) 6.08E-1 m/s
- c) 7.36E-1 m/s
- d) 8.92E-1 m/s
- e) 1.08E0 m/s

12) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

13) A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel?

- a) 5.35 x 10
^{0}m - b) 6.49 x 10
^{0}m - c) 7.86 x 10
^{0}m - d) 9.52 x 10
^{0}m - e) 1.15 x 10
^{1}m

14) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- a) south
- b) north
- c) zero
- d) east
- e) west

15) A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

- a) 0.38
- b) 0.46
- c) 0.55
- d) 0.66
- e) 0.79

16) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

- a) 8.05 x 10
^{1}m/s - b) 9.76 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.43 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

### FE Y0[edit]

1) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- a) 1m/s/s.
- b) 1.2m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.07m/s/s.

- a) 16.0 meters
- b) 17.0 meters
- c) 18.0 meters
- d) 19.0 meters
- e) 20.0 meters

3) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

4) As the Moon circles Earth, the acceleration of the Moon is

- a) away from Earth
- b) opposite the direction of the Moon's velocity
- c) in the same direction as the Moon's velocity
- d) towards Earth
- e) zero

5) A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

- a) 23.4 N.
- b) 27 N.
- c) 31 N.
- d) 35.7 N.
- e) 41 N.

6) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.5N at an angle of 51 degress above the horizontal. What is the normal force?

- a) 13.61 N.
- b) 15.66 N.
- c) 18 N.
- d) 20.71 N.
- e) 23.81 N.

_{1}is 20 degrees , and θ

_{3}is 31 degrees . The mass has a

*weight*of 36 N. What is the tension, T

_{1}?

- a) 22.7 N.
- b) 26.11 N.
- c) 30.02 N.
- d) 34.53 N.
- e) 39.71 N.

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

9) On object of mass 2.2 kg that is moving at a velocity of 28m/s collides with a stationary object of mass 18.48 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.72m/s.
- b) 2.07m/s.
- c) 2.48m/s.
- d) 2.98m/s.
- e) 3.57m/s.

- a) 2.28E+01 N
- b) 2.76E+01 N
- c) 3.35E+01 N
- d) 4.05E+01 N
- e) 4.91E+01 N

11) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 5.16 x 10
^{0}J - b) 6.25 x 10
^{0}J - c) 7.58 x 10
^{0}J - d) 9.18 x 10
^{0}J - e) 1.11 x 10
^{1}J

12) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 9.72E3 N
- b) 1.18E4 N
- c) 1.43E4 N
- d) 1.73E4 N
- e) 2.09E4 N

13) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 6.01E-1 m/s
- b) 7.29E-1 m/s
- c) 8.83E-1 m/s
- d) 1.07E0 m/s
- e) 1.30E0 m/s

14) If a molecule with atomic mass equal to 4 amu has a speed of 353 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

- a) 7.64 x 10
^{1}m/s - b) 9.26 x 10
^{1}m/s - c) 1.12 x 10
^{2}m/s - d) 1.36 x 10
^{2}m/s - e) 1.65 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.4 x 10
^{-1} - b) 4.1 x 10
^{-1} - c) 4.8 x 10
^{-1} - d) 5.6 x 10
^{-1} - e) 6.6 x 10
^{-1}

_{1}= 1.5 kPa, P

_{2}= 2.7 kPa. The volumes are V

_{1}= 1.9m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 3.75 x 10
^{2}J - b) 1.19 x 10
^{3}J - c) 3.75 x 10
^{3}J - d) 1.19 x 10
^{4}J - e) 3.75 x 10
^{4}J

#### FE Y1[edit]

1) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

2) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. What fraction of the heat went into the aluminum?

- a) 5.2 x 10
^{-1} - b) 6.1 x 10
^{-1} - c) 7.2 x 10
^{-1} - d) 8.5 x 10
^{-1} - e) 1 x 10
^{0}

_{1}is 20 degrees , and θ

_{3}is 33 degrees . The mass has a

*weight*of 31 N. What is the tension, T

_{1}?

- a) 32.55 N.
- b) 37.44 N.
- c) 43.05 N.
- d) 49.51 N.
- e) 56.94 N.

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 19.0 meters
- c) 20.0 meters
- d) 17.0 meters
- e) 18.0 meters

5) If a molecule with atomic mass equal to 5 amu has a speed of 263 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 21 ?

- a) 7.22 x 10
^{1}m/s - b) 8.74 x 10
^{1}m/s - c) 1.06 x 10
^{2}m/s - d) 1.28 x 10
^{2}m/s - e) 1.55 x 10
^{2}m/s

6) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

7) As the Moon circles Earth, the acceleration of the Moon is

- a) towards Earth
- b) away from Earth
- c) zero
- d) in the same direction as the Moon's velocity
- e) opposite the direction of the Moon's velocity

8) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 5.16 x 10
^{0}J - b) 6.25 x 10
^{0}J - c) 7.58 x 10
^{0}J - d) 9.18 x 10
^{0}J - e) 1.11 x 10
^{1}J

9) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 6.01E-1 m/s
- b) 7.29E-1 m/s
- c) 8.83E-1 m/s
- d) 1.07E0 m/s
- e) 1.30E0 m/s

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- a) 1.81 x 10
^{2}J - b) 5.72 x 10
^{2}J - c) 1.81 x 10
^{3}J - d) 5.72 x 10
^{3}J - e) 1.81 x 10
^{4}J

- a) 3.20E+01 N
- b) 3.87E+01 N
- c) 4.69E+01 N
- d) 5.69E+01 N
- e) 6.89E+01 N

12) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 9.72E3 N
- b) 1.18E4 N
- c) 1.43E4 N
- d) 1.73E4 N
- e) 2.09E4 N

13) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 2m/s.
- b) 2.4m/s.
- c) 2.88m/s.
- d) 3.45m/s.
- e) 4.14m/s.

14) A sled of mass 5.2 kg is at rest on a rough surface. A string pulls with a tension of 45.3N at an angle of 59 degress above the horizontal. What is the normal force?

- a) 10.55 N.
- b) 12.13 N.
- c) 13.95 N.
- d) 16.04 N.
- e) 18.45 N.

15) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

- a) 27.4 N.
- b) 31.5 N.
- c) 36.2 N.
- d) 41.7 N.
- e) 47.9 N.

16) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

#### FE Y2[edit]

1) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
- e) 1.291 m/s

2) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- a) 5.82E3 N
- b) 7.06E3 N
- c) 8.55E3 N
- d) 1.04E4 N
- e) 1.25E4 N

3) As the Moon circles Earth, the acceleration of the Moon is

- a) away from Earth
- b) towards Earth
- c) in the same direction as the Moon's velocity
- d) opposite the direction of the Moon's velocity
- e) zero

4) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

- a) 8.05 x 10
^{1}m/s - b) 9.76 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.43 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

5) A sled of mass 5.2 kg is at rest on a rough surface. A string pulls with a tension of 45.3N at an angle of 59 degress above the horizontal. What is the normal force?

- a) 10.55 N.
- b) 12.13 N.
- c) 13.95 N.
- d) 16.04 N.
- e) 18.45 N.

6) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 4.61E-1 m/s
- b) 5.58E-1 m/s
- c) 6.77E-1 m/s
- d) 8.20E-1 m/s
- e) 9.93E-1 m/s

7) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.4 x 10
^{-1} - b) 4.1 x 10
^{-1} - c) 4.8 x 10
^{-1} - d) 5.6 x 10
^{-1} - e) 6.6 x 10
^{-1}

8) On object of mass 2.9 kg that is moving at a velocity of 21m/s collides with a stationary object of mass 12.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 3.93m/s.
- b) 4.71m/s.
- c) 5.66m/s.
- d) 6.79m/s.
- e) 8.15m/s.

9) A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

- a) 14.5 N.
- b) 16.7 N.
- c) 19.2 N.
- d) 22.1 N.
- e) 25.4 N.

- a) 3.20E+01 N
- b) 3.87E+01 N
- c) 4.69E+01 N
- d) 5.69E+01 N
- e) 6.89E+01 N

_{1}is 20 degrees , and θ

_{3}is 31 degrees . The mass has a

*weight*of 36 N. What is the tension, T

_{1}?

- a) 22.7 N.
- b) 26.11 N.
- c) 30.02 N.
- d) 34.53 N.
- e) 39.71 N.

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 19.0 meters
- c) 16.0 meters
- d) 18.0 meters
- e) 20.0 meters

13) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

14) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 4.51 x 10
^{0}J - b) 5.46 x 10
^{0}J - c) 6.62 x 10
^{0}J - d) 8.02 x 10
^{0}J - e) 9.72 x 10
^{0}J

15) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.56 x 10
^{3}J - b) 8.1 x 10
^{3}J - c) 2.56 x 10
^{4}J - d) 8.1 x 10
^{4}J - e) 2.56 x 10
^{5}J

### FE Z0[edit]

1) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 7.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 40.85 degrees.
- b) 46.98 degrees.
- c) 54.03 degrees.
- d) 62.13 degrees.
- e) 71.45 degrees.

4) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) northwest
- b) north
- c) south
- d) northeast
- e) southwest

5) A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- a) 12.8 N.
- b) 14.8 N.
- c) 17 N.
- d) 19.5 N.
- e) 22.5 N.

6) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- a) 1.05 s
- b) 1.21 s
- c) 1.39 s
- d) 1.6 s
- e) 1.84 s

*mass*is 3.1 kg. What is T

_{1}?

- a) 79.1 N.
- b) 95 N.
- c) 114 N.
- d) 136.8 N.
- e) 164.1 N.

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

9) On object of mass 2.2 kg that is moving at a velocity of 28m/s collides with a stationary object of mass 18.48 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 1.72m/s.
- b) 2.07m/s.
- c) 2.48m/s.
- d) 2.98m/s.
- e) 3.57m/s.

_{1}= 5.4m, L

_{2}= 3.1m and L

_{3}= 8.1m. What is F

_{2}if F

_{1}=0.94N and F

_{3}=0.1N?

- a) 1.14E+00 N
- b) 1.38E+00 N
- c) 1.67E+00 N
- d) 2.02E+00 N
- e) 2.45E+00 N

^{2}. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 8.4 x 10
^{0}s^{-2} - b) 1.02 x 10
^{1}s^{-2} - c) 1.23 x 10
^{1}s^{-2} - d) 1.49 x 10
^{1}s^{-2} - e) 1.81 x 10
^{1}s^{-2}

12) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 3.88E4 Pa
- b) 4.70E4 Pa
- c) 5.70E4 Pa
- d) 6.90E4 Pa
- e) 8.37E4 Pa

13) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 18.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 4.45E1 mm
- b) 5.39E1 mm
- c) 6.52E1 mm
- d) 7.90E1 mm
- e) 9.58E1 mm

14) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

- a) 3.08 x 10
^{2}m/s - b) 3.73 x 10
^{2}m/s - c) 4.52 x 10
^{2}m/s - d) 5.48 x 10
^{2}m/s - e) 6.64 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

- a) 7.88 x 10
^{4}J - b) 9.29 x 10
^{4}J - c) 1.1 x 10
^{5}J - d) 1.29 x 10
^{5}J - e) 1.52 x 10
^{5}J

_{1}= 1.1 kPa, P

_{2}= 3.5 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 2.5m

^{3}. How much work is involved between 1 and 4?

- a) 1.43 x 10
^{1}J - b) 4.52 x 10
^{1}J - c) 1.43 x 10
^{2}J - d) 4.52 x 10
^{2}J - e) 1.43 x 10
^{3}J

#### FE Z1[edit]

1) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.26E4 Pa
- b) 2.74E4 Pa
- c) 3.32E4 Pa
- d) 4.02E4 Pa
- e) 4.87E4 Pa

2) A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

- a) 15 N.
- b) 17.3 N.
- c) 19.8 N.
- d) 22.8 N.
- e) 26.2 N.

3) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

4) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 40.3N at an angle of 43 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

- a) 1.27 s
- b) 1.46 s
- c) 1.68 s
- d) 1.93 s
- e) 2.22 s

5) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) northeast
- b) northwest
- c) southwest
- d) north
- e) south

^{2}. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 8.4 x 10
^{0}s^{-2} - b) 1.02 x 10
^{1}s^{-2} - c) 1.23 x 10
^{1}s^{-2} - d) 1.49 x 10
^{1}s^{-2} - e) 1.81 x 10
^{1}s^{-2}

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- a) 1.67 x 10
^{3}J - b) 5.27 x 10
^{3}J - c) 1.67 x 10
^{4}J - d) 5.27 x 10
^{4}J - e) 1.67 x 10
^{5}J

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 7.0 meters

9) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 30.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 1.63E2 mm
- b) 1.98E2 mm
- c) 2.40E2 mm
- d) 2.90E2 mm
- e) 3.52E2 mm

*mass*is 3.7 kg. What is T

_{1}?

- a) 46.5 N.
- b) 55.8 N.
- c) 67 N.
- d) 80.4 N.
- e) 96.5 N.

11) What is the rms speed of a molecule with an atomic mass of 12 if the temperature is 93 degrees Fahrenheit?

- a) 7.99 x 10
^{2}m/s - b) 9.68 x 10
^{2}m/s - c) 1.17 x 10
^{3}m/s - d) 1.42 x 10
^{3}m/s - e) 1.72 x 10
^{3}m/s

12) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

- a) 7.88 x 10
^{4}J - b) 9.29 x 10
^{4}J - c) 1.1 x 10
^{5}J - d) 1.29 x 10
^{5}J - e) 1.52 x 10
^{5}J

13) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
- d) 1.291 m/s
- e) 1.368 m/s

14) On object of mass 2.9 kg that is moving at a velocity of 21m/s collides with a stationary object of mass 12.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 3.93m/s.
- b) 4.71m/s.
- c) 5.66m/s.
- d) 6.79m/s.
- e) 8.15m/s.

15) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

#### FE Z2[edit]

1) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

3) What is the rms speed of a molecule with an atomic mass of 14 if the temperature is 22 degrees Fahrenheit?

- a) 6.9 x 10
^{2}m/s - b) 8.37 x 10
^{2}m/s - c) 1.01 x 10
^{3}m/s - d) 1.23 x 10
^{3}m/s - e) 1.49 x 10
^{3}m/s

4) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
- b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

5) On object of mass 2.9 kg that is moving at a velocity of 21m/s collides with a stationary object of mass 12.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 3.93m/s.
- b) 4.71m/s.
- c) 5.66m/s.
- d) 6.79m/s.
- e) 8.15m/s.

6) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

^{2}. Two identical disks, each with mass 3 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.48 m. If a force of 70 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 2.83 x 10
^{1}s^{-2} - b) 3.43 x 10
^{1}s^{-2} - c) 4.16 x 10
^{1}s^{-2} - d) 5.04 x 10
^{1}s^{-2} - e) 6.11 x 10
^{1}s^{-2}

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 10.0 meters

9) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- a) southwest
- b) north
- c) northeast
- d) northwest
- e) south

10) A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

- a) 11.2 N.
- b) 12.9 N.
- c) 14.8 N.
- d) 17 N.
- e) 19.6 N.

11) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- a) 2.26E4 Pa
- b) 2.74E4 Pa
- c) 3.32E4 Pa
- d) 4.02E4 Pa
- e) 4.87E4 Pa

_{1}= 5.1m, L

_{2}= 4.8m and L

_{3}= 7.4m. What is F

_{2}if F

_{1}=0.56N and F

_{3}=0N?

- a) 4.91E-01 N
- b) 5.95E-01 N
- c) 7.21E-01 N
- d) 8.73E-01 N
- e) 1.06E+00 N

13) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 1.35E2 mm
- b) 1.63E2 mm
- c) 1.98E2 mm
- d) 2.40E2 mm
- e) 2.90E2 mm

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. How much heat does it take to raise both from 47.8 C to 83.2 C?

- a) 3.37 x 10
^{4}J - b) 3.98 x 10
^{4}J - c) 4.69 x 10
^{4}J - d) 5.52 x 10
^{4}J - e) 6.51 x 10
^{4}J

15) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

- a) 1.4 s
- b) 1.61 s
- c) 1.86 s
- d) 2.13 s
- e) 2.45 s

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### Key: A0[edit]

1) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- +a) 8.13 m/s.
- -b) 9.76 m/s.
- -c) 11.71 m/s.
- -d) 14.06 m/s.
- -e) 16.87 m/s.

- -a) 23.0 meters
- -b) 27.0 meters
- -c) 25.0 meters
- +d) 24.0 meters
- -e) 26.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

4) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- -a) northeast
- -b) south
- -c) north
- -d) northwest
- +e) southeast

5) A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- -a) 12.5 N.
- -b) 14.3 N.
- +c) 16.5 N.
- -d) 19 N.
- -e) 21.8 N.

6) A sled of mass 5.4 kg is at rest on a rough surface. A string pulls with a tension of 46.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

- +a) 36.72 N.
- -b) 42.23 N.
- -c) 48.56 N.
- -d) 55.85 N.
- -e) 64.23 N.

_{1}is 17 degrees , and θ

_{3}is 39 degrees . The mass has a

*weight*of 42 N. What is the tension, T

_{1}?

- -a) 34.24 N.
- +b) 39.37 N.
- -c) 45.28 N.
- -d) 52.07 N.
- -e) 59.88 N.

- -a) 1.85 m
- -b) 1.98 m
- -c) 2.12 m
- -d) 2.27 m
- +e) 2.43 m

9) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- -a) 801 kg
- -b) 961 kg
- +c) 1154 kg
- -d) 1385 kg
- -e) 1661 kg

- -a) 3.31E+01 N
- -b) 4.17E+01 N
- -c) 5.25E+01 N
- -d) 6.61E+01 N
- +e) 8.32E+01 N

11) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

- -a) 3.39 x 10
^{1}J - -b) 4.1 x 10
^{1}J - -c) 4.97 x 10
^{1}J - +d) 6.02 x 10
^{1}J - -e) 7.3 x 10
^{1}J

12) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- -a) 1.59E4 N
- +b) 2.00E4 N
- -c) 2.52E4 N
- -d) 3.17E4 N
- -e) 3.99E4 N

13) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- -a) 8.86E-1 m/s
- -b) 1.07E0 m/s
- +c) 1.30E0 m/s
- -d) 1.57E0 m/s
- -e) 1.91E0 m/s

- -a) 3.08 x 10
^{2}m/s - -b) 3.73 x 10
^{2}m/s - -c) 4.52 x 10
^{2}m/s - -d) 5.48 x 10
^{2}m/s - +e) 6.64 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

- -a) 6.62 x 10
^{4}J - -b) 7.8 x 10
^{4}J - +c) 9.19 x 10
^{4}J - -d) 1.08 x 10
^{5}J - -e) 1.28 x 10
^{5}J

_{1}= 1.9 kPa, P

_{2}= 3.6 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.3m

^{3}. How much work is done in in one cycle?

- -a) 4.57 x 10
^{1}J - -b) 1.45 x 10
^{2}J - -c) 4.57 x 10
^{2}J - +d) 1.45 x 10
^{3}J - -e) 4.57 x 10
^{3}J

#### Key: A1[edit]

1) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

- -a) 4.27 x 10
^{2}m/s - -b) 5.17 x 10
^{2}m/s - +c) 6.26 x 10
^{2}m/s - -d) 7.59 x 10
^{2}m/s - -e) 9.19 x 10
^{2}m/s

2) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

3) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- -a) north
- +b) southeast
- -c) south
- -d) northwest
- -e) northeast

4) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.7N at an angle of 41 degress above the horizontal. What is the magnitude of the friction?

- -a) 24.94 N.
- -b) 28.68 N.
- +c) 32.98 N.
- -d) 37.93 N.
- -e) 43.62 N.

- -a) 3.93E+01 N
- -b) 4.95E+01 N
- -c) 6.23E+01 N
- +d) 7.84E+01 N
- -e) 9.87E+01 N

6) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the total kinetic if the wheel is rotating about a stationary axis?

- -a) 6.6 x 10
^{0}J - +b) 7.99 x 10
^{0}J - -c) 9.68 x 10
^{0}J - -d) 1.17 x 10
^{1}J - -e) 1.42 x 10
^{1}J

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 25.0 meters
- -b) 26.0 meters
- -c) 23.0 meters
- -d) 27.0 meters
- +e) 24.0 meters

- +a) 2.30 m
- -b) 2.46 m
- -c) 2.63 m
- -d) 2.82 m
- -e) 3.02 m

9) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- -a) 8.86E-1 m/s
- -b) 1.07E0 m/s
- +c) 1.30E0 m/s
- -d) 1.57E0 m/s
- -e) 1.91E0 m/s

10) A mass with weight (mg) of 37 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 44 degrees. What is the tension in the string?

- -a) 11.4 N.
- -b) 13.1 N.
- -c) 15.1 N.
- -d) 17.4 N.
- +e) 20 N.

_{1}= 2.3 kPa, P

_{2}= 4.8 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 3.5m

^{3}. How much work is done in in one cycle?

- -a) 1.75 x 10
^{1}J - -b) 5.53 x 10
^{1}J - -c) 1.75 x 10
^{2}J - -d) 5.53 x 10
^{2}J - +e) 1.75 x 10
^{3}J

12) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

- +a) 3326 kg
- -b) 3991 kg
- -c) 4789 kg
- -d) 5747 kg
- -e) 6896 kg

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- -a) 27.32 N.
- -b) 31.42 N.
- +c) 36.13 N.
- -d) 41.55 N.
- -e) 47.78 N.

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- -a) 0.43 s.
- +b) 0.52 s.
- -c) 0.62 s.
- -d) 0.75 s.
- -e) 0.9 s.

15) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

16) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- -a) 4.01E3 N
- -b) 5.04E3 N
- +c) 6.35E3 N
- -d) 7.99E3 N
- -e) 1.01E4 N

#### Key: A2[edit]

1) The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?- -a) 1.83 m
- +b) 1.96 m
- -c) 2.10 m
- -d) 2.24 m
- -e) 2.40 m

2) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- +a) 1.14E0 m/s
- -b) 1.38E0 m/s
- -c) 1.67E0 m/s
- -d) 2.02E0 m/s
- -e) 2.45E0 m/s

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

4) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- -a) 7.39 x 10
^{0}J - -b) 8.95 x 10
^{0}J - -c) 1.08 x 10
^{1}J - -d) 1.31 x 10
^{1}J - +e) 1.59 x 10
^{1}J

5) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

6) A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- -a) 12.8 N.
- -b) 14.8 N.
- -c) 17 N.
- +d) 19.5 N.
- -e) 22.5 N.

7) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

- -a) 4.27 x 10
^{2}m/s - -b) 5.17 x 10
^{2}m/s - +c) 6.26 x 10
^{2}m/s - -d) 7.59 x 10
^{2}m/s - -e) 9.19 x 10
^{2}m/s

8) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

9) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- -a) 1.48E4 N
- +b) 1.87E4 N
- -c) 2.35E4 N
- -d) 2.96E4 N
- -e) 3.73E4 N

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- -a) 27.32 N.
- -b) 31.42 N.
- +c) 36.13 N.
- -d) 41.55 N.
- -e) 47.78 N.

11) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- -a) northwest
- -b) northeast
- -c) south
- +d) southeast
- -e) north

12) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

- -a) 19.64 N.
- -b) 22.59 N.
- -c) 25.98 N.
- -d) 29.88 N.
- +e) 34.36 N.

- -a) 3.31E+01 N
- -b) 4.17E+01 N
- -c) 5.25E+01 N
- -d) 6.61E+01 N
- +e) 8.32E+01 N

_{1}= 1.9 kPa, P

_{2}= 3.6 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.3m

^{3}. How much work is done in in one cycle?

- -a) 4.57 x 10
^{1}J - -b) 1.45 x 10
^{2}J - -c) 4.57 x 10
^{2}J - +d) 1.45 x 10
^{3}J - -e) 4.57 x 10
^{3}J

15) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 27.0 meters
- +b) 24.0 meters
- -c) 26.0 meters
- -d) 25.0 meters
- -e) 23.0 meters

16) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

- -a) 2435 kg
- +b) 2922 kg
- -c) 3507 kg
- -d) 4208 kg
- -e) 5049 kg

### Key: B0[edit]

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

- -a) 17.0 meters
- -b) 13.0 meters
- -c) 15.0 meters
- +d) 16.0 meters
- -e) 14.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

- -a) south
- -b) northwest
- -c) northeast
- -d) southwest
- +e) north

- -a) 7.2 m/s
^{2}. - -b) 8.3 m/s
^{2}. - -c) 9.5 m/s
^{2}. - +d) 11 m/s
^{2}. - -e) 12.6 m/s
^{2}.

6) A sled of mass 5.4 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.2N at an angle of 58 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

- +a) 2.6 s
- -b) 2.99 s
- -c) 3.43 s
- -d) 3.95 s
- -e) 4.54 s

7) In the figure "3 tensions" shown above θ_{1} is 16 degrees, and θ_{3} is 30 degrees. The tension T_{3} is 45 N. What is the weight?

- -a) 25.5 N.
- -b) 29.3 N.
- +c) 33.7 N.
- -d) 38.7 N.
- -e) 44.5 N.

- -a) 1.218 m/s
- +b) 1.291 m/s
- -c) 1.368 m/s
- -d) 1.450 m/s
- -e) 1.537 m/s

9) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- -a) 1124 kg
- -b) 1348 kg
- +c) 1618 kg
- -d) 1942 kg
- -e) 2330 kg

- -a) 3.41E+01 N
- -b) 4.29E+01 N
- -c) 5.41E+01 N
- -d) 6.81E+01 N
- +e) 8.57E+01 N

11) A lead filled bicycle wheel of radius 0.38 m and mass 2.8 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- -a) 1.07 x 10
^{1}J - -b) 1.3 x 10
^{1}J - -c) 1.57 x 10
^{1}J - -d) 1.9 x 10
^{1}J - +e) 2.31 x 10
^{1}J

12) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- -a) 5.56E3 N
- +b) 6.74E3 N
- -c) 8.16E3 N
- -d) 9.89E3 N
- -e) 1.20E4 N

- -a) 1.91E3
- -b) 2.31E3
- -c) 2.80E3
- +d) 3.39E3
- -e) 4.11E3

14) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 65 degrees Fahrenheit?

- -a) 5.11 x 10
^{2}m/s - +b) 6.19 x 10
^{2}m/s - -c) 7.49 x 10
^{2}m/s - -d) 9.08 x 10
^{2}m/s - -e) 1.1 x 10
^{3}m/s

15) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 4.16 x 10
^{0}unit - -b) 5.04 x 10
^{0}unit - +c) 6.1 x 10
^{0}unit - -d) 7.39 x 10
^{0}unit - -e) 8.96 x 10
^{0}unit

_{1}= 1.1 kPa, P

_{2}= 3.5 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 2.5m

^{3}. How much work is involved between 1 and 4?

- -a) 1.43 x 10
^{1}J - -b) 4.52 x 10
^{1}J - -c) 1.43 x 10
^{2}J - -d) 4.52 x 10
^{2}J - +e) 1.43 x 10
^{3}J

#### Key: B1[edit]

1) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- -a) 1883 kg
- -b) 2259 kg
- +c) 2711 kg
- -d) 3253 kg
- -e) 3904 kg

2) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- +a) 40.3 N.
- -b) 46.4 N.
- -c) 53.3 N.
- -d) 61.3 N.
- -e) 70.5 N.

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- -a) 1.67 x 10
^{3}J - +b) 5.27 x 10
^{3}J - -c) 1.67 x 10
^{4}J - -d) 5.27 x 10
^{4}J - -e) 1.67 x 10
^{5}J

4) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- -a) 5.16 x 10
^{0}J - -b) 6.25 x 10
^{0}J - -c) 7.58 x 10
^{0}J - -d) 9.18 x 10
^{0}J - +e) 1.11 x 10
^{1}J

5) What is the rms speed of a molecule with an atomic mass of 7 if the temperature is 107 degrees Fahrenheit?

- -a) 7.22 x 10
^{2}m/s - -b) 8.74 x 10
^{2}m/s - +c) 1.06 x 10
^{3}m/s - -d) 1.28 x 10
^{3}m/s - -e) 1.55 x 10
^{3}m/s

- +a) 1.07E+02 N
- -b) 1.35E+02 N
- -c) 1.70E+02 N
- -d) 2.14E+02 N
- -e) 2.70E+02 N

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- +a) 16.0 meters
- -b) 14.0 meters
- -c) 17.0 meters
- -d) 13.0 meters
- -e) 15.0 meters

- +a) 1.291 m/s
- -b) 1.368 m/s
- -c) 1.450 m/s
- -d) 1.537 m/s
- -e) 1.630 m/s

9) A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

- -a) 8.2 m/s
^{2}. - +b) 9.4 m/s
^{2}. - -c) 10.8 m/s
^{2}. - -d) 12.4 m/s
^{2}. - -e) 14.3 m/s
^{2}.

10) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- -a) northeast
- +b) north
- -c) south
- -d) southwest
- -e) northwest

11) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- -a) 1.05 s
- +b) 1.21 s
- -c) 1.39 s
- -d) 1.6 s
- -e) 1.84 s

12) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 1.53 x 10
^{0}unit - -b) 1.86 x 10
^{0}unit - -c) 2.25 x 10
^{0}unit - -d) 2.73 x 10
^{0}unit - +e) 3.31 x 10
^{0}unit

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

14) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- +a) 7.00E3 N
- -b) 8.48E3 N
- -c) 1.03E4 N
- -d) 1.24E4 N
- -e) 1.51E4 N

15) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- +a) 6.00E4
- -b) 7.27E4
- -c) 8.81E4
- -d) 1.07E5
- -e) 1.29E5

16) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

#### Key: B2[edit]

1) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 40.3N at an angle of 43 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

- -a) 1.27 s
- -b) 1.46 s
- +c) 1.68 s
- -d) 1.93 s
- -e) 2.22 s

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

3) What is the rms speed of a molecule with an atomic mass of 7 if the temperature is 107 degrees Fahrenheit?

- -a) 7.22 x 10
^{2}m/s - -b) 8.74 x 10
^{2}m/s - +c) 1.06 x 10
^{3}m/s - -d) 1.28 x 10
^{3}m/s - -e) 1.55 x 10
^{3}m/s

4) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- +a) 5.96E3 N
- -b) 7.21E3 N
- -c) 8.74E3 N
- -d) 1.06E4 N
- -e) 1.28E4 N

- -a) 7.2 m/s
^{2}. - -b) 8.3 m/s
^{2}. - -c) 9.5 m/s
^{2}. - +d) 11 m/s
^{2}. - -e) 12.6 m/s
^{2}.

- -a) 6.6 x 10
^{0}J - +b) 7.99 x 10
^{0}J - -c) 9.68 x 10
^{0}J - -d) 1.17 x 10
^{1}J - -e) 1.42 x 10
^{1}J

7) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 1.53 x 10
^{0}unit - -b) 1.86 x 10
^{0}unit - -c) 2.25 x 10
^{0}unit - -d) 2.73 x 10
^{0}unit - +e) 3.31 x 10
^{0}unit

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- +a) 16.0 meters
- -b) 17.0 meters
- -c) 14.0 meters
- -d) 15.0 meters
- -e) 13.0 meters

9) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- +a) 18.6 N.
- -b) 21.4 N.
- -c) 24.6 N.
- -d) 28.3 N.
- -e) 32.6 N.

- -a) 6.83E+01 N
- +b) 8.59E+01 N
- -c) 1.08E+02 N
- -d) 1.36E+02 N
- -e) 1.71E+02 N

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- -a) 2.31 x 10
^{2}J - -b) 7.3 x 10
^{2}J - +c) 2.31 x 10
^{3}J - -d) 7.3 x 10
^{3}J - -e) 2.31 x 10
^{4}J

12) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- +a) 52.36 s
- -b) 62.83 s
- -c) 75.4 s
- -d) 90.47 s
- -e) 108.57 s

13) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- -a) southwest
- -b) south
- -c) northwest
- -d) northeast
- +e) north

14) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- +a) 5.70E3
- -b) 6.90E3
- -c) 8.36E3
- -d) 1.01E4
- -e) 1.23E4

15) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- +a) 1.291 m/s
- -b) 1.368 m/s
- -c) 1.450 m/s
- -d) 1.537 m/s
- -e) 1.630 m/s

16) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

- +a) 3326 kg
- -b) 3991 kg
- -c) 4789 kg
- -d) 5747 kg
- -e) 6896 kg

### Key: C0[edit]

1) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

- +a) 24.0 meters
- -b) 27.0 meters
- -c) 26.0 meters
- -d) 25.0 meters
- -e) 23.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

4) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- -a) northwest
- -b) southeast
- +c) north
- -d) northeast
- -e) northeast

- -a) 7.2 m/s
^{2}. - -b) 8.3 m/s
^{2}. - -c) 9.5 m/s
^{2}. - +d) 11 m/s
^{2}. - -e) 12.6 m/s
^{2}.

- -a) 1.05 s
- +b) 1.21 s
- -c) 1.39 s
- -d) 1.6 s
- -e) 1.84 s

_{1}is 16 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 45 N. What is the tension, T

_{1}?

- -a) 26.66 N.
- -b) 30.66 N.
- -c) 35.25 N.
- +d) 40.54 N.
- -e) 46.62 N.

- -a) 1.149 m/s
- -b) 1.218 m/s
- +c) 1.291 m/s
- -d) 1.368 m/s
- -e) 1.450 m/s

- -a) 39 m/s.
- -b) 42 m/s.
- -c) 44 m/s.
- -d) 48 m/s.
- +e) 51 m/s.

_{1}= 6.9m, L

_{2}= 4.4m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.96N and F

_{3}=0.1N?

- -a) 7.42E-01 N
- -b) 8.99E-01 N
- -c) 1.09E+00 N
- +d) 1.32E+00 N
- -e) 1.60E+00 N

11) A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

- -a) 5.45 x 10
^{0}m - -b) 6.6 x 10
^{0}m - +c) 7.99 x 10
^{0}m - -d) 9.68 x 10
^{0}m - -e) 1.17 x 10
^{1}m

- +a) 3.23E4 Pa
- -b) 3.92E4 Pa
- -c) 4.75E4 Pa
- -d) 5.75E4 Pa
- -e) 6.97E4 Pa

13) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 3.10E1 mm
- -b) 3.76E1 mm
- -c) 4.55E1 mm
- +d) 5.51E1 mm
- -e) 6.68E1 mm

14) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 12 degrees Fahrenheit?

- -a) 2.8 x 10
^{2}m/s - -b) 3.39 x 10
^{2}m/s - -c) 4.11 x 10
^{2}m/s - -d) 4.97 x 10
^{2}m/s - +e) 6.03 x 10
^{2}m/s

15) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 1.53 x 10
^{0}unit - -b) 1.86 x 10
^{0}unit - -c) 2.25 x 10
^{0}unit - -d) 2.73 x 10
^{0}unit - +e) 3.31 x 10
^{0}unit

_{1}= 1.1 kPa, P

_{2}= 3.5 kPa. The volumes are V

_{1}= 1.2m

^{3}and V

_{4}= 2.5m

^{3}. How much work is involved between 1 and 4?

- -a) 1.43 x 10
^{1}J - -b) 4.52 x 10
^{1}J - -c) 1.43 x 10
^{2}J - -d) 4.52 x 10
^{2}J - +e) 1.43 x 10
^{3}J

#### Key: C1[edit]

1) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 42.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 10.4 m/s?

- -a) 1.25 s
- -b) 1.44 s
- +c) 1.65 s
- -d) 1.9 s
- -e) 2.18 s

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- -a) 10.01 N.
- -b) 11.51 N.
- -c) 13.23 N.
- -d) 15.22 N.
- +e) 17.5 N.

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- -a) 2.31 x 10
^{2}J - -b) 7.3 x 10
^{2}J - +c) 2.31 x 10
^{3}J - -d) 7.3 x 10
^{3}J - -e) 2.31 x 10
^{4}J

5) A car with a tire radius of 0.31 m accelerates from 0 to 39 m/s in 9.3 seconds. What is the angular acceleration of the wheel?

- -a) 1.12 x 10
^{1}m - +b) 1.35 x 10
^{1}m - -c) 1.64 x 10
^{1}m - -d) 1.99 x 10
^{1}m - -e) 2.41 x 10
^{1}m

6) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- -a) northeast
- +b) north
- -c) southeast
- -d) northwest
- -e) northeast

_{1}= 6.9m, L

_{2}= 4.4m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.96N and F

_{3}=0.1N?

- -a) 7.42E-01 N
- -b) 8.99E-01 N
- -c) 1.09E+00 N
- +d) 1.32E+00 N
- -e) 1.60E+00 N

8) A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 2.37 x 10
^{0}unit - -b) 2.87 x 10
^{0}unit - -c) 3.47 x 10
^{0}unit - -d) 4.21 x 10
^{0}unit - +e) 5.1 x 10
^{0}unit

9) A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

- -a) 6.4 m/s
^{2}. - -b) 7.3 m/s
^{2}. - -c) 8.4 m/s
^{2}. - -d) 9.7 m/s
^{2}. - +e) 11.1 m/s
^{2}.

10) What is the rms speed of a molecule with an atomic mass of 12 if the temperature is 93 degrees Fahrenheit?

- +a) 7.99 x 10
^{2}m/s - -b) 9.68 x 10
^{2}m/s - -c) 1.17 x 10
^{3}m/s - -d) 1.42 x 10
^{3}m/s - -e) 1.72 x 10
^{3}m/s

11) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

12) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- -a) 1.022 m/s
- -b) 1.084 m/s
- -c) 1.149 m/s
- -d) 1.218 m/s
- +e) 1.291 m/s

- +a) 55 m/s.
- -b) 59 m/s.
- -c) 63 m/s.
- -d) 68 m/s.
- -e) 73 m/s.

14) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 3.88E4 Pa
- +b) 4.70E4 Pa
- -c) 5.70E4 Pa
- -d) 6.90E4 Pa
- -e) 8.37E4 Pa

15) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 18.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 4.45E1 mm
- +b) 5.39E1 mm
- -c) 6.52E1 mm
- -d) 7.90E1 mm
- -e) 9.58E1 mm

16) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- +a) 24.0 meters
- -b) 27.0 meters
- -c) 23.0 meters
- -d) 25.0 meters
- -e) 26.0 meters

#### Key: C2[edit]

1) In the figure shown, L_{1}= 6.9m, L

_{2}= 4m and L

_{3}= 8.4m. What is F

_{2}if F

_{1}=0.99N and F

_{3}=0.1N?

- +a) 1.50E+00 N
- -b) 1.81E+00 N
- -c) 2.20E+00 N
- -d) 2.66E+00 N
- -e) 3.23E+00 N

2) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 3.88E4 Pa
- +b) 4.70E4 Pa
- -c) 5.70E4 Pa
- -d) 6.90E4 Pa
- -e) 8.37E4 Pa

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

4) A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

- -a) 5.45 x 10
^{0}m - -b) 6.6 x 10
^{0}m - +c) 7.99 x 10
^{0}m - -d) 9.68 x 10
^{0}m - -e) 1.17 x 10
^{1}m

5) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- -a) northwest
- +b) north
- -c) northeast
- -d) southeast
- -e) northeast

- -a) 1.05 s
- +b) 1.21 s
- -c) 1.39 s
- -d) 1.6 s
- -e) 1.84 s

- -a) 47 m/s.
- -b) 51 m/s.
- +c) 54 m/s.
- -d) 58 m/s.
- -e) 62 m/s.

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- -a) 1.81 x 10
^{2}J - -b) 5.72 x 10
^{2}J - -c) 1.81 x 10
^{3}J - +d) 5.72 x 10
^{3}J - -e) 1.81 x 10
^{4}J

9) What is the rms speed of a molecule with an atomic mass of 14 if the temperature is 22 degrees Fahrenheit?

- +a) 6.9 x 10
^{2}m/s - -b) 8.37 x 10
^{2}m/s - -c) 1.01 x 10
^{3}m/s - -d) 1.23 x 10
^{3}m/s - -e) 1.49 x 10
^{3}m/s

10) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 25.0 meters
- -b) 23.0 meters
- -c) 27.0 meters
- +d) 24.0 meters
- -e) 26.0 meters

11) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- -a) 3.8 m/s
^{2}. - -b) 4.3 m/s
^{2}. - +c) 5 m/s
^{2}. - -d) 5.7 m/s
^{2}. - -e) 6.6 m/s
^{2}.

_{1}is 17 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 46 N. What is the tension, T

_{1}?

- -a) 36.22 N.
- +b) 41.66 N.
- -c) 47.91 N.
- -d) 55.09 N.
- -e) 63.36 N.

13) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 4.16 x 10
^{0}unit - -b) 5.04 x 10
^{0}unit - +c) 6.1 x 10
^{0}unit - -d) 7.39 x 10
^{0}unit - -e) 8.96 x 10
^{0}unit

14) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- -a) 1.218 m/s
- +b) 1.291 m/s
- -c) 1.368 m/s
- -d) 1.450 m/s
- -e) 1.537 m/s

15) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

16) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 1.23E2 mm
- -b) 1.48E2 mm
- +c) 1.80E2 mm
- -d) 2.18E2 mm
- -e) 2.64E2 mm

### Key: D0[edit]

1) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

2) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 12.0 meters
- -b) 10.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- +e) 9.0 meters

3) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

4) If you toss a coin into the air, the acceleration on the way up is

- -a) up
- +b) down
- -c) zero

5) A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

- -a) 6.4 m/s
^{2}. - -b) 7.3 m/s
^{2}. - -c) 8.4 m/s
^{2}. - -d) 9.7 m/s
^{2}. - +e) 11.1 m/s
^{2}.

6) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

- -a) 1.87 s
- +b) 2.15 s
- -c) 2.47 s
- -d) 2.85 s
- -e) 3.27 s

7) In the figure "3 tensions" shown above θ_{1} is 20 degrees, and θ_{3} is 29 degrees. The tension T_{3} is 25 N. What is the weight?

- +a) 20.1 N.
- -b) 23.1 N.
- -c) 26.6 N.
- -d) 30.5 N.
- -e) 35.1 N.

- -a) 1.69 m
- -b) 1.81 m
- +c) 1.93 m
- -d) 2.07 m
- -e) 2.21 m

- -a) 54 m/s.
- +b) 58 m/s.
- -c) 62 m/s.
- -d) 66 m/s.
- -e) 70 m/s.

- -a) 3.03E+01 N
- -b) 3.67E+01 N
- +c) 4.45E+01 N
- -d) 5.39E+01 N
- -e) 6.53E+01 N

11) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

- -a) 7.65 x 10
^{0}m - -b) 9.27 x 10
^{0}m - -c) 1.12 x 10
^{1}m - +d) 1.36 x 10
^{1}m - -e) 1.65 x 10
^{1}m

- +a) 3.23E4 Pa
- -b) 3.92E4 Pa
- -c) 4.75E4 Pa
- -d) 5.75E4 Pa
- -e) 6.97E4 Pa

13) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- -a) 1.08E4
- -b) 1.31E4
- -c) 1.58E4
- +d) 1.92E4
- -e) 2.32E4

- -a) 8.36 x 10
^{1}m/s - -b) 1.01 x 10
^{2}m/s - -c) 1.23 x 10
^{2}m/s - -d) 1.49 x 10
^{2}m/s - +e) 1.8 x 10
^{2}m/s

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- +a) 5.05 x 10
^{0}unit - -b) 6.11 x 10
^{0}unit - -c) 7.41 x 10
^{0}unit - -d) 8.97 x 10
^{0}unit - -e) 1.09 x 10
^{1}unit

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- -a) 1.34 x 10
^{2}J - -b) 4.23 x 10
^{2}J - -c) 1.34 x 10
^{3}J - +d) 4.23 x 10
^{3}J - -e) 1.34 x 10
^{4}J

#### Key: D1[edit]

1) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?- -a) 1.79 m
- -b) 1.92 m
- +c) 2.05 m
- -d) 2.20 m
- -e) 2.35 m

2) If a molecule with atomic mass equal to 8 amu has a speed of 475 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- -a) 1.73 x 10
^{2}m/s - -b) 2.1 x 10
^{2}m/s - +c) 2.54 x 10
^{2}m/s - -d) 3.08 x 10
^{2}m/s - -e) 3.73 x 10
^{2}m/s

3) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 10.0 meters
- -c) 11.0 meters
- -d) 12.0 meters
- +e) 9.0 meters

4) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- -a) 3.04E3
- -b) 3.68E3
- -c) 4.46E3
- +d) 5.40E3
- -e) 6.55E3

5) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- -a) 3.8 m/s
^{2}. - -b) 4.3 m/s
^{2}. - +c) 5 m/s
^{2}. - -d) 5.7 m/s
^{2}. - -e) 6.6 m/s
^{2}.

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- +a) 3.6 x 10
^{3}J - -b) 1.14 x 10
^{4}J - -c) 3.6 x 10
^{4}J - -d) 1.14 x 10
^{5}J - -e) 3.6 x 10
^{5}J

7) A particle accelerates uniformly at 11.5 m/s/s. How long does it take for the velocity to increase from 1164 m/s to 2020 m/s?

- -a) 35.9 s
- -b) 43.08 s
- -c) 51.69 s
- -d) 62.03 s
- +e) 74.43 s

- -a) 3.03E+01 N
- -b) 3.67E+01 N
- +c) 4.45E+01 N
- -d) 5.39E+01 N
- -e) 6.53E+01 N

- -a) 34 m/s.
- -b) 36 m/s.
- -c) 39 m/s.
- +d) 41 m/s.
- -e) 44 m/s.

10) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- +a) 40.3 N.
- -b) 46.4 N.
- -c) 53.3 N.
- -d) 61.3 N.
- -e) 70.5 N.

11) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 1.5 x 10
^{0}unit - -b) 1.81 x 10
^{0}unit - -c) 2.2 x 10
^{0}unit - -d) 2.66 x 10
^{0}unit - +e) 3.23 x 10
^{0}unit

12) If you toss a coin into the air, the acceleration on the way up is

- +a) down
- -b) up
- -c) zero

13) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 11.1 seconds. What is the angular acceleration of the wheel?

- -a) 9.21 x 10
^{0}m - +b) 1.12 x 10
^{1}m - -c) 1.35 x 10
^{1}m - -d) 1.64 x 10
^{1}m - -e) 1.98 x 10
^{1}m

14) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.7N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

- -a) 1.89 s
- -b) 2.18 s
- +c) 2.5 s
- -d) 2.88 s
- -e) 3.31 s

15) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 3.40E4 Pa
- +b) 4.12E4 Pa
- -c) 4.99E4 Pa
- -d) 6.04E4 Pa
- -e) 7.32E4 Pa

16) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

#### Key: D2[edit]

1) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- +a) 18.6 N.
- -b) 21.4 N.
- -c) 24.6 N.
- -d) 28.3 N.
- -e) 32.6 N.

2) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 2.83E4 Pa
- +b) 3.43E4 Pa
- -c) 4.16E4 Pa
- -d) 5.03E4 Pa
- -e) 6.10E4 Pa

3) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

4) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

- -a) 1.4 s
- -b) 1.61 s
- +c) 1.86 s
- -d) 2.13 s
- -e) 2.45 s

5) If you toss a coin into the air, the acceleration on the way up is

- -a) zero
- +b) down
- -c) up

- -a) 54 m/s.
- +b) 58 m/s.
- -c) 62 m/s.
- -d) 66 m/s.
- -e) 70 m/s.

7) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 9.0 meters
- -b) 10.0 meters
- -c) 8.0 meters
- -d) 12.0 meters
- -e) 11.0 meters

8) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- -a) 7.2 m/s
^{2}. - -b) 8.3 m/s
^{2}. - -c) 9.5 m/s
^{2}. - +d) 11 m/s
^{2}. - -e) 12.6 m/s
^{2}.

9) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 4.16 x 10
^{0}unit - -b) 5.04 x 10
^{0}unit - +c) 6.1 x 10
^{0}unit - -d) 7.39 x 10
^{0}unit - -e) 8.96 x 10
^{0}unit

- +a) 7.50E+01 N
- -b) 9.09E+01 N
- -c) 1.10E+02 N
- -d) 1.33E+02 N
- -e) 1.62E+02 N

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- -a) 1.34 x 10
^{2}J - -b) 4.23 x 10
^{2}J - -c) 1.34 x 10
^{3}J - +d) 4.23 x 10
^{3}J - -e) 1.34 x 10
^{4}J

12) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

- -a) 8.05 x 10
^{1}m/s - -b) 9.76 x 10
^{1}m/s - -c) 1.18 x 10
^{2}m/s - +d) 1.43 x 10
^{2}m/s - -e) 1.73 x 10
^{2}m/s

- -a) 1.97 m
- +b) 2.11 m
- -c) 2.25 m
- -d) 2.41 m
- -e) 2.58 m

14) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

15) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

- +a) 1.26 x 10
^{1}m - -b) 1.52 x 10
^{1}m - -c) 1.84 x 10
^{1}m - -d) 2.23 x 10
^{1}m - -e) 2.7 x 10
^{1}m

16) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- +a) 5.70E3
- -b) 6.90E3
- -c) 8.36E3
- -d) 1.01E4
- -e) 1.23E4

### Key: E0[edit]

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 6.0 meters
- +c) 3.0 meters
- -d) 7.0 meters
- -e) 5.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- -a) 0.43 s.
- +b) 0.52 s.
- -c) 0.62 s.
- -d) 0.75 s.
- -e) 0.9 s.

- -a) northeast
- -b) southwest
- -c) northwest
- +d) north
- -e) south

- -a) 14.5 N.
- -b) 16.7 N.
- -c) 19.2 N.
- -d) 22.1 N.
- +e) 25.4 N.

- +a) 2.6 s
- -b) 2.99 s
- -c) 3.43 s
- -d) 3.95 s
- -e) 4.54 s

*mass*is 2.5 kg. What is T

_{1}?

- +a) 32.5 N.
- -b) 39 N.
- -c) 46.8 N.
- -d) 56.2 N.
- -e) 67.4 N.

- -a) 1.312 kg
- -b) 1.377 kg
- -c) 1.446 kg
- -d) 1.518 kg
- +e) 1.594 kg

9) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- -a) 1.49m/s.
- -b) 1.79m/s.
- -c) 2.15m/s.
- -d) 2.58m/s.
- +e) 3.09m/s.

- -a) 3.06E+01 N
- +b) 3.71E+01 N
- -c) 4.49E+01 N
- -d) 5.44E+01 N
- -e) 6.60E+01 N

11) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 11.1 seconds. What is the angular acceleration of the wheel?

- -a) 9.21 x 10
^{0}m - +b) 1.12 x 10
^{1}m - -c) 1.35 x 10
^{1}m - -d) 1.64 x 10
^{1}m - -e) 1.98 x 10
^{1}m

12) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 3.88E4 Pa
- +b) 4.70E4 Pa
- -c) 5.70E4 Pa
- -d) 6.90E4 Pa
- -e) 8.37E4 Pa

- -a) 1.91E3
- -b) 2.31E3
- -c) 2.80E3
- +d) 3.39E3
- -e) 4.11E3

14) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- -a) 8.8 x 10
^{1}m/s - -b) 1.07 x 10
^{2}m/s - -c) 1.29 x 10
^{2}m/s - -d) 1.56 x 10
^{2}m/s - +e) 1.9 x 10
^{2}m/s

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- -a) 3.8 x 10
^{-1} - -b) 4.4 x 10
^{-1} - -c) 5.2 x 10
^{-1} - +d) 6.2 x 10
^{-1} - -e) 7.3 x 10
^{-1}

_{1}= 3 kPa, P

_{2}= 5.4 kPa. The volumes are V

_{1}= 2.6m

^{3}and V

_{4}= 5m

^{3}. How much work is involved between 2 and 4?

- -a) 1.01 x 10
^{2}J - -b) 3.19 x 10
^{2}J - -c) 1.01 x 10
^{3}J - -d) 3.19 x 10
^{3}J - +e) 1.01 x 10
^{4}J

#### Key: E1[edit]

- -a) 2.26E4 Pa
- -b) 2.74E4 Pa
- -c) 3.32E4 Pa
- +d) 4.02E4 Pa
- -e) 4.87E4 Pa

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

3) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- -a) 4.84E2
- -b) 5.87E2
- -c) 7.11E2
- +d) 8.61E2
- -e) 1.04E3

4) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

- -a) 1.32m/s.
- -b) 1.59m/s.
- -c) 1.91m/s.
- +d) 2.29m/s.
- -e) 2.75m/s.

5) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

- -a) 7.65 x 10
^{0}m - -b) 9.27 x 10
^{0}m - -c) 1.12 x 10
^{1}m - +d) 1.36 x 10
^{1}m - -e) 1.65 x 10
^{1}m

*mass*is 2.8 kg. What is T

_{1}?

- -a) 21.2 N.
- -b) 25.4 N.
- -c) 30.5 N.
- -d) 36.6 N.
- +e) 43.9 N.

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- -a) 1.34 x 10
^{2}J - -b) 4.23 x 10
^{2}J - -c) 1.34 x 10
^{3}J - +d) 4.23 x 10
^{3}J - -e) 1.34 x 10
^{4}J

8) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

- -a) 2.7 x 10
^{-1} - -b) 3.2 x 10
^{-1} - -c) 3.8 x 10
^{-1} - +d) 4.5 x 10
^{-1} - -e) 5.3 x 10
^{-1}

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 7.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- -e) 6.0 meters

10) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

- -a) 15.4 N.
- -b) 17.7 N.
- +c) 20.4 N.
- -d) 23.5 N.
- -e) 27 N.

- -a) 3.32E+01 N
- -b) 4.02E+01 N
- +c) 4.87E+01 N
- -d) 5.90E+01 N
- -e) 7.15E+01 N

12) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

- -a) 0.608 kg
- -b) 0.638 kg
- -c) 0.670 kg
- -d) 0.703 kg
- +e) 0.739 kg

14) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- +a) north
- -b) northwest
- -c) south
- -d) southwest
- -e) northeast

15) If a molecule with atomic mass equal to 2 amu has a speed of 245 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- -a) 4.24 x 10
^{1}m/s - -b) 5.14 x 10
^{1}m/s - +c) 6.22 x 10
^{1}m/s - -d) 7.54 x 10
^{1}m/s - -e) 9.13 x 10
^{1}m/s

16) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 42.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 10.4 m/s?

- -a) 1.25 s
- -b) 1.44 s
- +c) 1.65 s
- -d) 1.9 s
- -e) 2.18 s

#### Key: E2[edit]

1) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

- -a) 2.7 x 10
^{-1} - -b) 3.2 x 10
^{-1} - -c) 3.8 x 10
^{-1} - +d) 4.5 x 10
^{-1} - -e) 5.3 x 10
^{-1}

2) A sled of mass 5.1 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 47.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

- -a) 0.68 s
- -b) 0.78 s
- -c) 0.9 s
- -d) 1.03 s
- +e) 1.19 s

_{1}= 1.3 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 2 and 4?

- -a) 8.7 x 10
^{2}J - +b) 2.75 x 10
^{3}J - -c) 8.7 x 10
^{3}J - -d) 2.75 x 10
^{4}J - -e) 8.7 x 10
^{4}J

4) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- -a) 1.49m/s.
- -b) 1.79m/s.
- -c) 2.15m/s.
- -d) 2.58m/s.
- +e) 3.09m/s.

5) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- +a) north
- -b) northwest
- -c) south
- -d) southwest
- -e) northeast

6) A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

- -a) 9.9 N.
- -b) 11.4 N.
- -c) 13.1 N.
- -d) 15.1 N.
- +e) 17.3 N.

- +a) 4.20E+01 N
- -b) 5.08E+01 N
- -c) 6.16E+01 N
- -d) 7.46E+01 N
- -e) 9.04E+01 N

8) A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

- -a) 5.45 x 10
^{0}m - -b) 6.6 x 10
^{0}m - +c) 7.99 x 10
^{0}m - -d) 9.68 x 10
^{0}m - -e) 1.17 x 10
^{1}m

- -a) 0.608 kg
- -b) 0.638 kg
- -c) 0.670 kg
- -d) 0.703 kg
- +e) 0.739 kg

10) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- -c) 6.0 meters
- +d) 3.0 meters
- -e) 4.0 meters

11) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- +a) 3.72E4 Pa
- -b) 4.51E4 Pa
- -c) 5.47E4 Pa
- -d) 6.62E4 Pa
- -e) 8.02E4 Pa

12) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

- -a) 1.91E3
- -b) 2.31E3
- -c) 2.80E3
- +d) 3.39E3
- -e) 4.11E3

- -a) 8.8 x 10
^{1}m/s - -b) 1.07 x 10
^{2}m/s - -c) 1.29 x 10
^{2}m/s - -d) 1.56 x 10
^{2}m/s - +e) 1.9 x 10
^{2}m/s

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

- -a) 0.26 s.
- -b) 0.31 s.
- -c) 0.37 s.
- -d) 0.44 s.
- +e) 0.53 s.

*mass*is 2.5 kg. What is T

_{1}?

- +a) 32.5 N.
- -b) 39 N.
- -c) 46.8 N.
- -d) 56.2 N.
- -e) 67.4 N.

### Key: F0[edit]

1) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

- -a) 5.0 meters
- -b) 8.0 meters
- +c) 6.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

- +a) west
- -b) zero
- -c) south
- -d) east
- -e) north

- -a) 14.5 N.
- -b) 16.7 N.
- -c) 19.2 N.
- -d) 22.1 N.
- +e) 25.4 N.

6) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.3N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- -a) 21.31 N.
- -b) 24.5 N.
- -c) 28.18 N.
- +d) 32.4 N.
- -e) 37.26 N.

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- -a) 27.32 N.
- -b) 31.42 N.
- +c) 36.13 N.
- -d) 41.55 N.
- -e) 47.78 N.

- -a) 1.83 m
- +b) 1.96 m
- -c) 2.10 m
- -d) 2.24 m
- -e) 2.40 m

- -a) 34 m/s.
- -b) 36 m/s.
- -c) 39 m/s.
- +d) 41 m/s.
- -e) 44 m/s.

_{1}= 6.1m, L

_{2}= 3.2m and L

_{3}= 7.2m. What is F

_{2}if F

_{1}=0.77N and F

_{3}=0N?

- -a) 8.25E-01 N
- -b) 1.00E+00 N
- -c) 1.21E+00 N
- +d) 1.47E+00 N
- -e) 1.78E+00 N

^{2}. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 1.48 x 10
^{1}s^{-2} - +b) 1.8 x 10
^{1}s^{-2} - -c) 2.18 x 10
^{1}s^{-2} - -d) 2.64 x 10
^{1}s^{-2} - -e) 3.19 x 10
^{1}s^{-2}

12) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- -a) 5.82E3 N
- -b) 7.06E3 N
- -c) 8.55E3 N
- +d) 1.04E4 N
- -e) 1.25E4 N

13) A large cylinder is filled with water so that the bottom is 6.4 m below the waterline. At the bottom is a small hole with a diameter of 9.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 9.24E0 m/s
- +b) 1.12E1 m/s
- -c) 1.36E1 m/s
- -d) 1.64E1 m/s
- -e) 1.99E1 m/s

14) What is the root-mean-square of 36, 6, and -23?

- -a) 1.763 x 10
^{1} - -b) 1.978 x 10
^{1} - -c) 2.22 x 10
^{1} - +d) 2.491 x 10
^{1} - -e) 2.795 x 10
^{1}

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

_{1}= 2.9 kPa, P

_{2}= 4 kPa. The volumes are V

_{1}= 2m

^{3}and V

_{4}= 3.2m

^{3}. How much work is done in in one cycle?

- -a) 6.6 x 10
^{0}J - -b) 2.09 x 10
^{1}J - -c) 6.6 x 10
^{1}J - -d) 2.09 x 10
^{2}J - +e) 6.6 x 10
^{2}J

#### Key: F1[edit]

1) In the figure shown, L_{1}= 6.1m, L

_{2}= 4m and L

_{3}= 7.5m. What is F

_{2}if F

_{1}=0.74N and F

_{3}=0N?

- -a) 6.35E-01 N
- -b) 7.69E-01 N
- -c) 9.31E-01 N
- +d) 1.13E+00 N
- -e) 1.37E+00 N

2) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 7.98E0 m/s
- -b) 9.67E0 m/s
- +c) 1.17E1 m/s
- -d) 1.42E1 m/s
- -e) 1.72E1 m/s

3) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

- -a) 21.3 N.
- +b) 24.5 N.
- -c) 28.2 N.
- -d) 32.4 N.
- -e) 37.3 N.

- -a) 24.94 N.
- -b) 28.68 N.
- +c) 32.98 N.
- -d) 37.93 N.
- -e) 43.62 N.

^{2}. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 1.48 x 10
^{1}s^{-2} - +b) 1.8 x 10
^{1}s^{-2} - -c) 2.18 x 10
^{1}s^{-2} - -d) 2.64 x 10
^{1}s^{-2} - -e) 3.19 x 10
^{1}s^{-2}

6) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

7) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

8) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- -a) zero
- -b) east
- -c) south
- +d) west
- -e) north

_{1}= 2.5 kPa, P

_{2}= 4.5 kPa. The volumes are V

_{1}= 1.4m

^{3}and V

_{4}= 2.9m

^{3}. How much work is done in in one cycle?

- -a) 4.74 x 10
^{2}J - +b) 1.5 x 10
^{3}J - -c) 4.74 x 10
^{3}J - -d) 1.5 x 10
^{4}J - -e) 4.74 x 10
^{4}J

10) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- +a) 9.72E3 N
- -b) 1.18E4 N
- -c) 1.43E4 N
- -d) 1.73E4 N
- -e) 2.09E4 N

_{1}is 20 degrees , and θ

_{3}is 37 degrees . The mass has a

*weight*of 41 N. What is the tension, T

_{1}?

- -a) 29.52 N.
- -b) 33.95 N.
- +c) 39.04 N.
- -d) 44.9 N.
- -e) 51.63 N.

12) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

13) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 5.0 meters
- -b) 8.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- +e) 6.0 meters

- +a) 55 m/s.
- -b) 58 m/s.
- -c) 62 m/s.
- -d) 67 m/s.
- -e) 71 m/s.

- +a) 2.00 m
- -b) 2.14 m
- -c) 2.29 m
- -d) 2.45 m
- -e) 2.62 m

16) What is the root-mean-square of 45, 23, and -43?

- -a) 3.414 x 10
^{1} - +b) 3.831 x 10
^{1} - -c) 4.298 x 10
^{1} - -d) 4.823 x 10
^{1} - -e) 5.411 x 10
^{1}

#### Key: F2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- +c) 6.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

- -a) 1.83 m
- +b) 1.96 m
- -c) 2.10 m
- -d) 2.24 m
- -e) 2.40 m

3) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- +a) 0.85m/s/s.
- -b) 1.01m/s/s.
- -c) 1.22m/s/s.
- -d) 1.46m/s/s.
- -e) 1.75m/s/s.

4) A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

- -a) 9.9 N.
- -b) 11.4 N.
- -c) 13.1 N.
- -d) 15.1 N.
- +e) 17.3 N.

5) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- -a) north
- -b) east
- -c) zero
- +d) west
- -e) south

6) What is the root-mean-square of 5, 7, and 0?

- -a) 4.426 x 10
^{0} - +b) 4.967 x 10
^{0} - -c) 5.573 x 10
^{0} - -d) 6.253 x 10
^{0} - -e) 7.015 x 10
^{0}

7) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 8.42E0 m/s
- -b) 1.02E1 m/s
- +c) 1.24E1 m/s
- -d) 1.50E1 m/s
- -e) 1.81E1 m/s

8) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- +a) 5.96E3 N
- -b) 7.21E3 N
- -c) 8.74E3 N
- -d) 1.06E4 N
- -e) 1.28E4 N

9) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

- -a) 27.11 N.
- -b) 31.17 N.
- +c) 35.85 N.
- -d) 41.23 N.
- -e) 47.41 N.

_{1}= 2.3 kPa, P

_{2}= 4.8 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 3.5m

^{3}. How much work is done in in one cycle?

- -a) 1.75 x 10
^{1}J - -b) 5.53 x 10
^{1}J - -c) 1.75 x 10
^{2}J - -d) 5.53 x 10
^{2}J - +e) 1.75 x 10
^{3}J

_{1}is 16 degrees , and θ

_{3}is 35 degrees . The mass has a 'weight' of 28 N. What is the tension, T

_{1}?

- -a) 19.41 N.
- -b) 22.32 N.
- -c) 25.66 N.
- +d) 29.51 N.
- -e) 33.94 N.

^{2}. Two identical disks, each with mass 8.1 kg are attached. The larger disk has a diameter of 0.99 m, and the smaller disk has a diameter of 0.63 m. If a force of 87 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 9.12 x 10
^{0}s^{-2} - -b) 1.11 x 10
^{1}s^{-2} - -c) 1.34 x 10
^{1}s^{-2} - -d) 1.62 x 10
^{1}s^{-2} - +e) 1.97 x 10
^{1}s^{-2}

13) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- -a) 32.04 degrees.
- -b) 36.85 degrees.
- -c) 42.37 degrees.
- +d) 48.73 degrees.
- -e) 56.04 degrees.

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

_{1}= 5.5m, L

_{2}= 3.7m and L

_{3}= 8.6m. What is F

_{2}if F

_{1}=0.51N and F

_{3}=0N?

- -a) 4.26E-01 N
- -b) 5.16E-01 N
- -c) 6.26E-01 N
- +d) 7.58E-01 N
- -e) 9.18E-01 N

- -a) 34 m/s.
- -b) 36 m/s.
- -c) 39 m/s.
- +d) 41 m/s.
- -e) 44 m/s.

### Key: G0[edit]

1) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- +b) 6.0 meters
- -c) 3.0 meters
- -d) 7.0 meters
- -e) 4.0 meters

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

4) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- -a) the cloth is more slippery when it is pulled quickly
- +b) the cloth is accelerating for such a brief time that there is little motion
- -c) objects don't begin to accelerate until after the force has been applied

- -a) 7.2 m/s
^{2}. - -b) 8.3 m/s
^{2}. - -c) 9.5 m/s
^{2}. - +d) 11 m/s
^{2}. - -e) 12.6 m/s
^{2}.

6) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 18.1N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2 m/s^{2}?

- +a) 74 degrees
- -b) 85.1 degrees
- -c) 97.8 degrees
- -d) 112.5 degrees
- -e) 129.4 degrees

*mass*is 2.7 kg. What is T

_{2}?

- -a) 36.74 N.
- -b) 42.25 N.
- +c) 48.58 N.
- -d) 55.87 N.
- -e) 64.25 N.

- -a) 0.157 kg
- +b) 0.165 kg
- -c) 0.173 kg
- -d) 0.182 kg
- -e) 0.191 kg

9) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

- -a) 741 kg
- -b) 889 kg
- +c) 1067 kg
- -d) 1280 kg
- -e) 1537 kg

- -a) 3.04E+01 N
- -b) 3.68E+01 N
- -c) 4.46E+01 N
- +d) 5.40E+01 N
- -e) 6.54E+01 N

11) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the moment of inertia?

- +a) 2.4 x 10
^{-1}kg m^{2}/s^{2} - -b) 2.9 x 10
^{-1}kg m^{2}/s^{2} - -c) 3.52 x 10
^{-1}kg m^{2}/s^{2} - -d) 4.26 x 10
^{-1}kg m^{2}/s^{2} - -e) 5.16 x 10
^{-1}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- +a) 1.11E4 N
- -b) 1.40E4 N
- -c) 1.76E4 N
- -d) 2.22E4 N
- -e) 2.79E4 N

13) A large cylinder is filled with water so that the bottom is 6.8 m below the waterline. At the bottom is a small hole with a diameter of 7.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 9.53E0 m/s
- +b) 1.15E1 m/s
- -c) 1.40E1 m/s
- -d) 1.69E1 m/s
- -e) 2.05E1 m/s

14) What is the root-mean-square of 45, 23, and -43?

- -a) 3.414 x 10
^{1} - +b) 3.831 x 10
^{1} - -c) 4.298 x 10
^{1} - -d) 4.823 x 10
^{1} - -e) 5.411 x 10
^{1}

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 1.5 x 10
^{0}unit - -b) 1.81 x 10
^{0}unit - -c) 2.2 x 10
^{0}unit - -d) 2.66 x 10
^{0}unit - +e) 3.23 x 10
^{0}unit

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- +a) 3.6 x 10
^{3}J - -b) 1.14 x 10
^{4}J - -c) 3.6 x 10
^{4}J - -d) 1.14 x 10
^{5}J - -e) 3.6 x 10
^{5}J

#### Key: G1[edit]

1) The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?- -a) 0.187 kg
- -b) 0.196 kg
- +c) 0.206 kg
- -d) 0.217 kg
- -e) 0.227 kg

2) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- -c) 4.0 meters
- +d) 6.0 meters
- -e) 3.0 meters

3) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- -a) 1507 kg
- -b) 1809 kg
- -c) 2170 kg
- +d) 2604 kg
- -e) 3125 kg

4) What is the root-mean-square of 36, 6, and -23?

- -a) 1.763 x 10
^{1} - -b) 1.978 x 10
^{1} - -c) 2.22 x 10
^{1} - +d) 2.491 x 10
^{1} - -e) 2.795 x 10
^{1}

5) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- +a) the cloth is accelerating for such a brief time that there is little motion
- -b) objects don't begin to accelerate until after the force has been applied
- -c) the cloth is more slippery when it is pulled quickly

6) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- -a) 3.11E3 N
- -b) 3.92E3 N
- -c) 4.93E3 N
- +d) 6.21E3 N
- -e) 7.81E3 N

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- -a) 0.43 s.
- +b) 0.52 s.
- -c) 0.62 s.
- -d) 0.75 s.
- -e) 0.9 s.

8) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

- -a) 4.6 m/s
^{2}. - -b) 5.3 m/s
^{2}. - -c) 6.1 m/s
^{2}. - -d) 7 m/s
^{2}. - +e) 8.1 m/s
^{2}.

- -a) 9.31E+01 N
- -b) 1.13E+02 N
- +c) 1.37E+02 N
- -d) 1.65E+02 N
- -e) 2.01E+02 N

10) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

11) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- +a) 5.05 x 10
^{0}unit - -b) 6.11 x 10
^{0}unit - -c) 7.41 x 10
^{0}unit - -d) 8.97 x 10
^{0}unit - -e) 1.09 x 10
^{1}unit

12) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

- -a) 1.89 x 10
^{-1}kg m^{2}/s^{2} - -b) 2.29 x 10
^{-1}kg m^{2}/s^{2} - -c) 2.77 x 10
^{-1}kg m^{2}/s^{2} - -d) 3.36 x 10
^{-1}kg m^{2}/s^{2} - +e) 4.07 x 10
^{-1}kg m^{2}/s^{2}

13) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 7.98E0 m/s
- -b) 9.67E0 m/s
- +c) 1.17E1 m/s
- -d) 1.42E1 m/s
- -e) 1.72E1 m/s

14) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- -a) 53.7 degrees
- -b) 61.8 degrees
- +c) 71 degrees
- -d) 81.7 degrees
- -e) 93.9 degrees

_{1}= 2 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 3.1m

^{3}. How much work is involved between 2 and 4?

- -a) 1.64 x 10
^{3}J - +b) 5.2 x 10
^{3}J - -c) 1.64 x 10
^{4}J - -d) 5.2 x 10
^{4}J - -e) 1.64 x 10
^{5}J

*mass*is 3.7 kg. What is T

_{2}?

- +a) 66.58 N.
- -b) 76.56 N.
- -c) 88.05 N.
- -d) 101.25 N.
- -e) 116.44 N.

#### Key: G2[edit]

1) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 5.0 meters
- +c) 6.0 meters
- -d) 7.0 meters
- -e) 3.0 meters

- -a) 2.71E+01 N
- +b) 3.29E+01 N
- -c) 3.98E+01 N
- -d) 4.83E+01 N
- -e) 5.85E+01 N

3) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

- -a) 741 kg
- -b) 889 kg
- +c) 1067 kg
- -d) 1280 kg
- -e) 1537 kg

4) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- -a) 53.3 degrees
- -b) 61.3 degrees
- +c) 70.5 degrees
- -d) 81.1 degrees
- -e) 93.3 degrees

5) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- +a) the cloth is accelerating for such a brief time that there is little motion
- -b) the cloth is more slippery when it is pulled quickly
- -c) objects don't begin to accelerate until after the force has been applied

6) A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

- -a) 6.4 m/s
^{2}. - -b) 7.3 m/s
^{2}. - -c) 8.4 m/s
^{2}. - -d) 9.7 m/s
^{2}. - +e) 11.1 m/s
^{2}.

*mass*is 2.8 kg. What is T

_{2}?

- +a) 50.38 N.
- -b) 57.94 N.
- -c) 66.63 N.
- -d) 76.62 N.
- -e) 88.12 N.

- -a) 0.608 kg
- -b) 0.638 kg
- -c) 0.670 kg
- -d) 0.703 kg
- +e) 0.739 kg

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- +a) 3.6 x 10
^{3}J - -b) 1.14 x 10
^{4}J - -c) 3.6 x 10
^{4}J - -d) 1.14 x 10
^{5}J - -e) 3.6 x 10
^{5}J

10) What is the root-mean-square of 5, 7, and 0?

- -a) 4.426 x 10
^{0} - +b) 4.967 x 10
^{0} - -c) 5.573 x 10
^{0} - -d) 6.253 x 10
^{0} - -e) 7.015 x 10
^{0}

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

12) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- -a) 3.11E3 N
- -b) 3.92E3 N
- -c) 4.93E3 N
- +d) 6.21E3 N
- -e) 7.81E3 N

13) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

14) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

- -a) 1.89 x 10
^{-1}kg m^{2}/s^{2} - -b) 2.29 x 10
^{-1}kg m^{2}/s^{2} - -c) 2.77 x 10
^{-1}kg m^{2}/s^{2} - -d) 3.36 x 10
^{-1}kg m^{2}/s^{2} - +e) 4.07 x 10
^{-1}kg m^{2}/s^{2}

- -a) 2.37 x 10
^{0}unit - -b) 2.87 x 10
^{0}unit - -c) 3.47 x 10
^{0}unit - -d) 4.21 x 10
^{0}unit - +e) 5.1 x 10
^{0}unit

16) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 8.42E0 m/s
- -b) 1.02E1 m/s
- +c) 1.24E1 m/s
- -d) 1.50E1 m/s
- -e) 1.81E1 m/s

### Key: H0[edit]

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

- -a) 8.0 meters
- -b) 10.0 meters
- -c) 11.0 meters
- +d) 9.0 meters
- -e) 12.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

4) If you toss a coin into the air, the acceleration on the way down is

- -a) up
- +b) down
- -c) zero

5) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

- +a) 9.2 m/s
^{2}. - -b) 10.5 m/s
^{2}. - -c) 12.1 m/s
^{2}. - -d) 13.9 m/s
^{2}. - -e) 16 m/s
^{2}.

6) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 42.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 10.4 m/s?

- -a) 1.25 s
- -b) 1.44 s
- +c) 1.65 s
- -d) 1.9 s
- -e) 2.18 s

*mass*is 2.7 kg. What is T

_{1}?

- +a) 40.7 N.
- -b) 48.9 N.
- -c) 58.7 N.
- -d) 70.4 N.
- -e) 84.5 N.

- -a) 1.022 m/s
- -b) 1.084 m/s
- -c) 1.149 m/s
- -d) 1.218 m/s
- +e) 1.291 m/s

- -a) 32 m/s.
- -b) 35 m/s.
- -c) 37 m/s.
- -d) 40 m/s.
- +e) 43 m/s.

- -a) 1.93E+01 N
- -b) 2.43E+01 N
- -c) 3.06E+01 N
- -d) 3.86E+01 N
- +e) 4.86E+01 N

11) A car with a tire radius of 0.35 m accelerates from 0 to 32 m/s in 8.8 seconds. What is the angular acceleration of the wheel?

- -a) 5.84 x 10
^{0}m - -b) 7.08 x 10
^{0}m - -c) 8.58 x 10
^{0}m - +d) 1.04 x 10
^{1}m - -e) 1.26 x 10
^{1}m

12) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- -a) 5.18E3 N
- +b) 6.28E3 N
- -c) 7.60E3 N
- -d) 9.21E3 N
- -e) 1.12E4 N

13) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 4.06E2 mm
- +b) 4.92E2 mm
- -c) 5.96E2 mm
- -d) 7.22E2 mm
- -e) 8.74E2 mm

14) If a molecule with atomic mass equal to 6 amu has a speed of 217 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 30 ?

- -a) 5.46 x 10
^{1}m/s - -b) 6.61 x 10
^{1}m/s - -c) 8.01 x 10
^{1}m/s - +d) 9.7 x 10
^{1}m/s - -e) 1.18 x 10
^{2}m/s

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

_{1}= 1.4 kPa, P

_{2}= 4.1 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.7m

^{3}. What is the temperature at step 4?

- -a) 1.79 x 10
^{2}K - +b) 5.65 x 10
^{2}K - -c) 1.79 x 10
^{3}K - -d) 5.65 x 10
^{3}K - -e) 1.79 x 10
^{4}K

#### Key: H1[edit]

1) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 10.0 meters
- -b) 12.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- +e) 9.0 meters

- -a) 43 m/s.
- -b) 46 m/s.
- -c) 49 m/s.
- +d) 52 m/s.
- -e) 56 m/s.

3) If you toss a coin into the air, the acceleration on the way down is

- -a) zero
- -b) up
- +c) down

_{1}= 1.5 kPa, P

_{2}= 3 kPa. The volumes are V

_{1}= 2.4m

^{3}and V

_{4}= 4.5m

^{3}. What is the temperature at step 4?

- -a) 1.6 x 10
^{1}K - -b) 5.07 x 10
^{1}K - -c) 1.6 x 10
^{2}K - +d) 5.07 x 10
^{2}K - -e) 1.6 x 10
^{3}K

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

6) A sled of mass 5.1 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 47.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

- -a) 0.68 s
- -b) 0.78 s
- -c) 0.9 s
- -d) 1.03 s
- +e) 1.19 s

7) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

- -a) 4.6 m/s
^{2}. - -b) 5.3 m/s
^{2}. - -c) 6.1 m/s
^{2}. - -d) 7 m/s
^{2}. - +e) 8.1 m/s
^{2}.

- -a) 1.218 m/s
- +b) 1.291 m/s
- -c) 1.368 m/s
- -d) 1.450 m/s
- -e) 1.537 m/s

9) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

10) If a molecule with atomic mass equal to 9 amu has a speed of 445 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 25 ?

- -a) 1.82 x 10
^{2}m/s - -b) 2.2 x 10
^{2}m/s - +c) 2.67 x 10
^{2}m/s - -d) 3.23 x 10
^{2}m/s - -e) 3.92 x 10
^{2}m/s

11) A car with a tire radius of 0.31 m accelerates from 0 to 39 m/s in 9.3 seconds. What is the angular acceleration of the wheel?

- -a) 1.12 x 10
^{1}m - +b) 1.35 x 10
^{1}m - -c) 1.64 x 10
^{1}m - -d) 1.99 x 10
^{1}m - -e) 2.41 x 10
^{1}m

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

- -a) 3.10E1 mm
- -b) 3.76E1 mm
- -c) 4.55E1 mm
- +d) 5.51E1 mm
- -e) 6.68E1 mm

14) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- +a) 9.72E3 N
- -b) 1.18E4 N
- -c) 1.43E4 N
- -d) 1.73E4 N
- -e) 2.09E4 N

*mass*is 3.1 kg. What is T

_{1}?

- -a) 34.8 N.
- +b) 41.8 N.
- -c) 50.2 N.
- -d) 60.2 N.
- -e) 72.3 N.

- -a) 3.59E+01 N
- -b) 4.52E+01 N
- -c) 5.69E+01 N
- -d) 7.16E+01 N
- +e) 9.02E+01 N

#### Key: H2[edit]

1) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

- -a) 6.62 x 10
^{4}J - -b) 7.8 x 10
^{4}J - +c) 9.19 x 10
^{4}J - -d) 1.08 x 10
^{5}J - -e) 1.28 x 10
^{5}J

- -a) 1.022 m/s
- -b) 1.084 m/s
- -c) 1.149 m/s
- -d) 1.218 m/s
- +e) 1.291 m/s

- -a) 11.0 meters
- +b) 9.0 meters
- -c) 8.0 meters
- -d) 10.0 meters
- -e) 12.0 meters

4) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

- +a) 1.31 x 10
^{2}m/s - -b) 1.59 x 10
^{2}m/s - -c) 1.93 x 10
^{2}m/s - -d) 2.33 x 10
^{2}m/s - -e) 2.83 x 10
^{2}m/s

5) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- -a) 1.05 s
- +b) 1.21 s
- -c) 1.39 s
- -d) 1.6 s
- -e) 1.84 s

*mass*is 2.9 kg. What is T

_{1}?

- -a) 30.9 N.
- -b) 37.1 N.
- -c) 44.5 N.
- +d) 53.5 N.
- -e) 64.1 N.

7) A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

- -a) 8.2 m/s
^{2}. - +b) 9.4 m/s
^{2}. - -c) 10.8 m/s
^{2}. - -d) 12.4 m/s
^{2}. - -e) 14.3 m/s
^{2}.

8) A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel?

- -a) 5.35 x 10
^{0}m - -b) 6.49 x 10
^{0}m - +c) 7.86 x 10
^{0}m - -d) 9.52 x 10
^{0}m - -e) 1.15 x 10
^{1}m

9) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 4.06E2 mm
- +b) 4.92E2 mm
- -c) 5.96E2 mm
- -d) 7.22E2 mm
- -e) 8.74E2 mm

- -a) 34 m/s.
- -b) 36 m/s.
- -c) 39 m/s.
- +d) 41 m/s.
- -e) 44 m/s.

11) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- -a) 5.56E3 N
- +b) 6.73E3 N
- -c) 8.16E3 N
- -d) 9.89E3 N
- -e) 1.20E4 N

^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

- -a) 3.65E+01 N
- -b) 4.60E+01 N
- +c) 5.79E+01 N
- -d) 7.28E+01 N
- -e) 9.17E+01 N

14) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- -a) 46.15 s
- -b) 55.38 s
- +c) 66.46 s
- -d) 79.75 s
- -e) 95.7 s

15) If you toss a coin into the air, the acceleration on the way down is

- -a) up
- -b) zero
- +c) down

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 2.9m

^{3}and V

_{4}= 5.8m

^{3}. What is the temperature at step 4?

- -a) 8.59 x 10
^{0}K - -b) 2.71 x 10
^{1}K - -c) 8.59 x 10
^{1}K - -d) 2.71 x 10
^{2}K - +e) 8.59 x 10
^{2}K

### Key: I0[edit]

1) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

2) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 1.0 meters
- +b) 3.0 meters
- -c) 5.0 meters
- -d) 4.0 meters
- -e) 2.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

- -a) north
- +b) west
- -c) south
- -d) zero
- -e) east

5) A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

- -a) 6.9 m/s
^{2}. - -b) 8 m/s
^{2}. - -c) 9.2 m/s
^{2}. - -d) 10.6 m/s
^{2}. - +e) 12.1 m/s
^{2}.

6) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- -a) 53.7 degrees
- -b) 61.8 degrees
- +c) 71 degrees
- -d) 81.7 degrees
- -e) 93.9 degrees

_{1}is 20 degrees , and θ

_{3}is 37 degrees . The mass has a

*weight*of 41 N. What is the tension, T

_{1}?

- -a) 29.52 N.
- -b) 33.95 N.
- +c) 39.04 N.
- -d) 44.9 N.
- -e) 51.63 N.

- -a) 1.218 m/s
- +b) 1.291 m/s
- -c) 1.368 m/s
- -d) 1.450 m/s
- -e) 1.537 m/s

- -a) 39 m/s.
- -b) 42 m/s.
- -c) 44 m/s.
- -d) 48 m/s.
- +e) 51 m/s.

- -a) 3.59E+01 N
- -b) 4.51E+01 N
- -c) 5.68E+01 N
- -d) 7.15E+01 N
- +e) 9.01E+01 N

- -a) 5.45 x 10
^{0}m - -b) 6.6 x 10
^{0}m - +c) 7.99 x 10
^{0}m - -d) 9.68 x 10
^{0}m - -e) 1.17 x 10
^{1}m

- -a) 3.07E4 Pa
- -b) 3.72E4 Pa
- +c) 4.51E4 Pa
- -d) 5.46E4 Pa
- -e) 6.62E4 Pa

- -a) 1.91E3
- -b) 2.31E3
- -c) 2.80E3
- +d) 3.39E3
- -e) 4.11E3

- -a) 8.36 x 10
^{1}m/s - -b) 1.01 x 10
^{2}m/s - -c) 1.23 x 10
^{2}m/s - -d) 1.49 x 10
^{2}m/s - +e) 1.8 x 10
^{2}m/s

- -a) 2.37 x 10
^{0}unit - -b) 2.87 x 10
^{0}unit - -c) 3.47 x 10
^{0}unit - -d) 4.21 x 10
^{0}unit - +e) 5.1 x 10
^{0}unit

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- -a) 2.31 x 10
^{2}J - -b) 7.3 x 10
^{2}J - +c) 2.31 x 10
^{3}J - -d) 7.3 x 10
^{3}J - -e) 2.31 x 10
^{4}J

#### Key: I1[edit]

1) A car with a tire radius of 0.37 m accelerates from 0 to 28 m/s in 11.9 seconds. What is the angular acceleration of the wheel?

- +a) 6.36 x 10
^{0}m - -b) 7.7 x 10
^{0}m - -c) 9.33 x 10
^{0}m - -d) 1.13 x 10
^{1}m - -e) 1.37 x 10
^{1}m

2) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

3) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 2.74E4 Pa
- -b) 3.32E4 Pa
- +c) 4.02E4 Pa
- -d) 4.87E4 Pa
- -e) 5.90E4 Pa

_{1}is 17 degrees , and θ

_{3}is 29 degrees . The mass has a

*weight*of 29 N. What is the tension, T

_{1}?

- -a) 20.16 N.
- -b) 23.18 N.
- -c) 26.66 N.
- -d) 30.66 N.
- +e) 35.26 N.

5) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- -a) 53.3 degrees
- -b) 61.3 degrees
- +c) 70.5 degrees
- -d) 81.1 degrees
- -e) 93.3 degrees

6) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

- +a) 9.2 m/s
^{2}. - -b) 10.5 m/s
^{2}. - -c) 12.1 m/s
^{2}. - -d) 13.9 m/s
^{2}. - -e) 16 m/s
^{2}.

- +a) 1.07E+02 N
- -b) 1.35E+02 N
- -c) 1.70E+02 N
- -d) 2.14E+02 N
- -e) 2.70E+02 N

8) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- -a) 8.8 x 10
^{1}m/s - -b) 1.07 x 10
^{2}m/s - -c) 1.29 x 10
^{2}m/s - -d) 1.56 x 10
^{2}m/s - +e) 1.9 x 10
^{2}m/s

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- -a) 2.31 x 10
^{2}J - -b) 7.3 x 10
^{2}J - +c) 2.31 x 10
^{3}J - -d) 7.3 x 10
^{3}J - -e) 2.31 x 10
^{4}J

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 5.0 meters
- -c) 2.0 meters
- -d) 1.0 meters
- +e) 3.0 meters

11) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

- -a) 1.149 m/s
- -b) 1.218 m/s
- +c) 1.291 m/s
- -d) 1.368 m/s
- -e) 1.450 m/s

- -a) 1.91E3
- -b) 2.31E3
- -c) 2.80E3
- +d) 3.39E3
- -e) 4.11E3

- -a) 39 m/s.
- -b) 42 m/s.
- -c) 44 m/s.
- -d) 48 m/s.
- +e) 51 m/s.

15) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- -a) south
- -b) east
- -c) north
- +d) west
- -e) zero

16) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 2.16 x 10
^{0}unit - -b) 2.62 x 10
^{0}unit - -c) 3.17 x 10
^{0}unit - +d) 3.84 x 10
^{0}unit - -e) 4.65 x 10
^{0}unit

#### Key: I2[edit]

1) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 4.16 x 10
^{0}unit - -b) 5.04 x 10
^{0}unit - +c) 6.1 x 10
^{0}unit - -d) 7.39 x 10
^{0}unit - -e) 8.96 x 10
^{0}unit

2) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- -a) zero
- -b) north
- -c) east
- -d) south
- +e) west

- -a) 34 m/s.
- -b) 36 m/s.
- -c) 39 m/s.
- +d) 41 m/s.
- -e) 44 m/s.

4) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s^{2}?

- -a) 36.3 degrees
- -b) 41.7 degrees
- -c) 47.9 degrees
- -d) 55.1 degrees
- +e) 63.4 degrees

_{1}is 17 degrees , and θ

_{3}is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T

_{1}?

- -a) 27.32 N.
- -b) 31.42 N.
- +c) 36.13 N.
- -d) 41.55 N.
- -e) 47.78 N.

6) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- -a) 1.26E5
- -b) 1.53E5
- +c) 1.85E5
- -d) 2.24E5
- -e) 2.72E5

7) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 1.0 meters
- -b) 5.0 meters
- -c) 2.0 meters
- -d) 4.0 meters
- +e) 3.0 meters

- +a) 1.291 m/s
- -b) 1.368 m/s
- -c) 1.450 m/s
- -d) 1.537 m/s
- -e) 1.630 m/s

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- -a) 1.81 x 10
^{2}J - -b) 5.72 x 10
^{2}J - -c) 1.81 x 10
^{3}J - +d) 5.72 x 10
^{3}J - -e) 1.81 x 10
^{4}J

10) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

- -a) 7.65 x 10
^{0}m - -b) 9.27 x 10
^{0}m - -c) 1.12 x 10
^{1}m - +d) 1.36 x 10
^{1}m - -e) 1.65 x 10
^{1}m

11) If a molecule with atomic mass equal to 9 amu has a speed of 445 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 25 ?

- -a) 1.82 x 10
^{2}m/s - -b) 2.2 x 10
^{2}m/s - +c) 2.67 x 10
^{2}m/s - -d) 3.23 x 10
^{2}m/s - -e) 3.92 x 10
^{2}m/s

12) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- +a) 4.24m/s
^{2}. - -b) 5.08m/s
^{2}. - -c) 6.1m/s
^{2}. - -d) 7.32m/s
^{2}. - -e) 8.78m/s
^{2}.

13) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

14) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 3.07E4 Pa
- -b) 3.72E4 Pa
- +c) 4.51E4 Pa
- -d) 5.46E4 Pa
- -e) 6.62E4 Pa

15) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

- -a) 3.8 m/s
^{2}. - -b) 4.3 m/s
^{2}. - +c) 5 m/s
^{2}. - -d) 5.7 m/s
^{2}. - -e) 6.6 m/s
^{2}.

- -a) 3.05E+01 N
- -b) 3.85E+01 N
- -c) 4.84E+01 N
- -d) 6.09E+01 N
- +e) 7.67E+01 N

### Key: J0[edit]

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

- -a) 7.0 meters
- -b) 5.0 meters
- -c) 8.0 meters
- +d) 6.0 meters
- -e) 9.0 meters

- -a) 2.85 m.
- -b) 3.42 m.
- -c) 4.1 m.
- +d) 4.92 m.
- -e) 5.9 m.

4) If you toss a coin into the air, the velocity on the way up is

- +a) up
- -b) zero
- -c) down

- -a) 7.2 m/s
^{2}. - -b) 8.3 m/s
^{2}. - -c) 9.5 m/s
^{2}. - +d) 11 m/s
^{2}. - -e) 12.6 m/s
^{2}.

6) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 40.1N at an angle of 42 degress above the horizontal. What is the normal force?

- +a) 29.03 N.
- -b) 33.38 N.
- -c) 38.39 N.
- -d) 44.15 N.
- -e) 50.77 N.

_{1}is 17 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 46 N. What is the weight?

- -a) 20.1 N.
- -b) 23.1 N.
- -c) 26.6 N.
- -d) 30.6 N.
- +e) 35.2 N.

- -a) 2.39 m
- -b) 2.56 m
- -c) 2.74 m
- +d) 2.93 m
- -e) 3.14 m

- -a) 39 m/s.
- -b) 42 m/s.
- -c) 44 m/s.
- -d) 48 m/s.
- +e) 51 m/s.

- -a) 3.10E+01 N
- -b) 3.76E+01 N
- -c) 4.55E+01 N
- +d) 5.51E+01 N
- -e) 6.68E+01 N

11) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

- +a) 3.15 x 10
^{-1}kg m^{2}/s^{2} - -b) 3.81 x 10
^{-1}kg m^{2}/s^{2} - -c) 4.62 x 10
^{-1}kg m^{2}/s^{2} - -d) 5.6 x 10
^{-1}kg m^{2}/s^{2} - -e) 6.78 x 10
^{-1}kg m^{2}/s^{2}

12) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- -a) 1.09E4 N
- -b) 1.32E4 N
- +c) 1.60E4 N
- -d) 1.94E4 N
- -e) 2.35E4 N

13) A large cylinder is filled with water so that the bottom is 8.9 m below the waterline. At the bottom is a small hole with a diameter of 7.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 1.09E1 m/s
- +b) 1.32E1 m/s
- -c) 1.60E1 m/s
- -d) 1.94E1 m/s
- -e) 2.35E1 m/s

14) What is the root-mean-square of 11, 36, and 4?

- -a) 1.948 x 10
^{1} - +b) 2.186 x 10
^{1} - -c) 2.452 x 10
^{1} - -d) 2.751 x 10
^{1} - -e) 3.087 x 10
^{1}

- -a) 2.37 x 10
^{0}unit - -b) 2.87 x 10
^{0}unit - -c) 3.47 x 10
^{0}unit - -d) 4.21 x 10
^{0}unit - +e) 5.1 x 10
^{0}unit

_{1}= 3.1 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.8m

^{3}. How much work is involved between 1 and 4?

- -a) 1.67 x 10
^{3}J - +b) 5.27 x 10
^{3}J - -c) 1.67 x 10
^{4}J - -d) 5.27 x 10
^{4}J - -e) 1.67 x 10
^{5}J

#### Key: J1[edit]

1) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- -a) 5.56E3 N
- +b) 6.73E3 N
- -c) 8.16E3 N
- -d) 9.89E3 N
- -e) 1.20E4 N

2) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

3) If you toss a coin into the air, the velocity on the way up is

- -a) zero
- +b) up
- -c) down

4) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 43N at an angle of 55 degress above the horizontal. What is the normal force?

- -a) 10.99 N.
- -b) 12.64 N.
- -c) 14.54 N.
- +d) 16.72 N.
- -e) 19.22 N.

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- -c) 8.0 meters
- +d) 6.0 meters
- -e) 9.0 meters

- +a) 7.15E+01 N
- -b) 8.67E+01 N
- -c) 1.05E+02 N
- -d) 1.27E+02 N
- -e) 1.54E+02 N

7) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- +a) 5.05 x 10
^{0}unit - -b) 6.11 x 10
^{0}unit - -c) 7.41 x 10
^{0}unit - -d) 8.97 x 10
^{0}unit - -e) 1.09 x 10
^{1}unit

8) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the moment of inertia?

- -a) 2.25 x 10
^{-1}kg m^{2}/s^{2} - -b) 2.73 x 10
^{-1}kg m^{2}/s^{2} - +c) 3.31 x 10
^{-1}kg m^{2}/s^{2} - -d) 4.01 x 10
^{-1}kg m^{2}/s^{2} - -e) 4.85 x 10
^{-1}kg m^{2}/s^{2}

- -a) 1.83 m
- +b) 1.96 m
- -c) 2.10 m
- -d) 2.24 m
- -e) 2.40 m

10) A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

- -a) 6.9 m/s
^{2}. - -b) 8 m/s
^{2}. - -c) 9.2 m/s
^{2}. - -d) 10.6 m/s
^{2}. - +e) 12.1 m/s
^{2}.

11) What is the root-mean-square of -46, -13, and 17?

- -a) 2.074 x 10
^{1} - -b) 2.327 x 10
^{1} - -c) 2.611 x 10
^{1} - +d) 2.929 x 10
^{1} - -e) 3.287 x 10
^{1}

12) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 7.98E0 m/s
- -b) 9.67E0 m/s
- +c) 1.17E1 m/s
- -d) 1.42E1 m/s
- -e) 1.72E1 m/s

_{1}is 17 degrees, and θ

_{3}is 30 degrees. The tension T

_{3}is 46 N. What is the weight?

- -a) 20.1 N.
- -b) 23.1 N.
- -c) 26.6 N.
- -d) 30.6 N.
- +e) 35.2 N.

14) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

_{1}= 2.2 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 4.4m

^{3}. How much work is involved between 1 and 4?

- -a) 1.81 x 10
^{2}J - -b) 5.72 x 10
^{2}J - -c) 1.81 x 10
^{3}J - +d) 5.72 x 10
^{3}J - -e) 1.81 x 10
^{4}J

- -a) 34 m/s.
- -b) 36 m/s.
- -c) 39 m/s.
- -d) 42 m/s.
- +e) 44 m/s.

#### Key: J2[edit]

1) What is the root-mean-square of 6, -2, and -44?

- -a) 1.619 x 10
^{1} - -b) 1.817 x 10
^{1} - -c) 2.039 x 10
^{1} - -d) 2.287 x 10
^{1} - +e) 2.566 x 10
^{1}

- +a) 6.0 meters
- -b) 9.0 meters
- -c) 5.0 meters
- -d) 7.0 meters
- -e) 8.0 meters

3) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- -a) 6.52 m.
- +b) 7.82 m.
- -c) 9.39 m.
- -d) 11.27 m.
- -e) 13.52 m.

- -a) 1.23 m
- -b) 1.32 m
- -c) 1.41 m
- +d) 1.51 m
- -e) 1.62 m

5) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the moment of inertia?

- +a) 2.87 x 10
^{-1}kg m^{2}/s^{2} - -b) 3.48 x 10
^{-1}kg m^{2}/s^{2} - -c) 4.22 x 10
^{-1}kg m^{2}/s^{2} - -d) 5.11 x 10
^{-1}kg m^{2}/s^{2} - -e) 6.19 x 10
^{-1}kg m^{2}/s^{2}

- -a) 39 m/s.
- -b) 42 m/s.
- -c) 44 m/s.
- -d) 48 m/s.
- +e) 51 m/s.

7) A large cylinder is filled with water so that the bottom is 6.8 m below the waterline. At the bottom is a small hole with a diameter of 7.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 9.53E0 m/s
- +b) 1.15E1 m/s
- -c) 1.40E1 m/s
- -d) 1.69E1 m/s
- -e) 2.05E1 m/s

8) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- +a) 7.00E3 N
- -b) 8.48E3 N
- -c) 1.03E4 N
- -d) 1.24E4 N
- -e) 1.51E4 N

- -a) 3.10E+01 N
- -b) 3.76E+01 N
- -c) 4.55E+01 N
- +d) 5.51E+01 N
- -e) 6.68E+01 N

10) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- +a) 18.6 N.
- -b) 21.4 N.
- -c) 24.6 N.
- -d) 28.3 N.
- -e) 32.6 N.

11) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 2.16 x 10
^{0}unit - -b) 2.62 x 10
^{0}unit - -c) 3.17 x 10
^{0}unit - +d) 3.84 x 10
^{0}unit - -e) 4.65 x 10
^{0}unit

12) A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

- -a) 8.2 m/s
^{2}. - +b) 9.4 m/s
^{2}. - -c) 10.8 m/s
^{2}. - -d) 12.4 m/s
^{2}. - -e) 14.3 m/s
^{2}.

_{1}= 1.5 kPa, P

_{2}= 2.7 kPa. The volumes are V

_{1}= 1.9m

^{3}and V

_{4}= 3.3m

^{3}. How much work is involved between 1 and 4?

- -a) 6.64 x 10
^{2}J - +b) 2.1 x 10
^{3}J - -c) 6.64 x 10
^{3}J - -d) 2.1 x 10
^{4}J - -e) 6.64 x 10
^{4}J

14) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

15) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

- -a) 16.81 N.
- -b) 19.33 N.
- +c) 22.23 N.
- -d) 25.57 N.
- -e) 29.4 N.

16) If you toss a coin into the air, the velocity on the way up is

- -a) down
- -b) zero
- +c) up

### Key: K0[edit]

1) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

2) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 19.0 meters
- -b) 22.0 meters
- +c) 20.0 meters
- -d) 21.0 meters
- -e) 23.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- -a) 21.32 degrees.
- -b) 24.51 degrees.
- -c) 28.19 degrees.
- +d) 32.42 degrees.
- -e) 37.28 degrees.

4) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- -a) northwest
- -b) southwest
- +c) northeast
- -d) south
- -e) north

5) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- -a) 6.6 N.
- -b) 7.6 N.
- -c) 8.7 N.
- -d) 10 N.
- +e) 11.5 N.

6) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 16.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s^{2}?

- -a) 34.6 degrees
- -b) 39.8 degrees
- -c) 45.8 degrees
- -d) 52.7 degrees
- +e) 60.6 degrees

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- -a) 10.01 N.
- -b) 11.51 N.
- -c) 13.23 N.
- -d) 15.22 N.
- +e) 17.5 N.

- -a) 0.750 kg
- +b) 0.788 kg
- -c) 0.827 kg
- -d) 0.868 kg
- -e) 0.912 kg

- -a) 1.72m/s.
- -b) 2.07m/s.
- -c) 2.48m/s.
- +d) 2.98m/s.
- -e) 3.57m/s.

_{1}= 5.7m, L

_{2}= 4.5m and L

_{3}= 8.2m. What is F

_{1}if F

_{2}=8.6N and F

_{3}=6.7N?

- -a) 1.36E+01 N
- +b) 1.64E+01 N
- -c) 1.99E+01 N
- -d) 2.41E+01 N
- -e) 2.92E+01 N

^{2}. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 1.48 x 10
^{1}s^{-2} - +b) 1.8 x 10
^{1}s^{-2} - -c) 2.18 x 10
^{1}s^{-2} - -d) 2.64 x 10
^{1}s^{-2} - -e) 3.19 x 10
^{1}s^{-2}

- +a) 3.23E4 Pa
- -b) 3.92E4 Pa
- -c) 4.75E4 Pa
- -d) 5.75E4 Pa
- -e) 6.97E4 Pa

- -a) 7.98E0 m/s
- -b) 9.67E0 m/s
- +c) 1.17E1 m/s
- -d) 1.42E1 m/s
- -e) 1.72E1 m/s

- -a) 8.36 x 10
^{1}m/s - -b) 1.01 x 10
^{2}m/s - -c) 1.23 x 10
^{2}m/s - -d) 1.49 x 10
^{2}m/s - +e) 1.8 x 10
^{2}m/s

- -a) 7.88 x 10
^{4}J - -b) 9.29 x 10
^{4}J - +c) 1.1 x 10
^{5}J - -d) 1.29 x 10
^{5}J - -e) 1.52 x 10
^{5}J

_{1}= 2.2 kPa, P

_{2}= 3.8 kPa. The volumes are V

_{1}= 2.9m

^{3}and V

_{4}= 5.4m

^{3}. What is the temperature at step 4?

- -a) 5.71 x 10
^{0}K - -b) 1.81 x 10
^{1}K - -c) 5.71 x 10
^{1}K - -d) 1.81 x 10
^{2}K - +e) 5.71 x 10
^{2}K

#### Key: K1[edit]

1) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- -a) northwest
- -b) south
- -c) southwest
- +d) northeast
- -e) north

2) A large cylinder is filled with water so that the bottom is 5.7 m below the waterline. At the bottom is a small hole with a diameter of 5.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 5.94E0 m/s
- -b) 7.20E0 m/s
- -c) 8.72E0 m/s
- +d) 1.06E1 m/s
- -e) 1.28E1 m/s

_{1}= 5.4m, L

_{2}= 3.3m and L

_{3}= 7.4m. What is F

_{1}if F

_{2}=7.5N and F

_{3}=5.4N?

- -a) 8.16E+00 N
- -b) 9.89E+00 N
- +c) 1.20E+01 N
- -d) 1.45E+01 N
- -e) 1.76E+01 N

^{2}. Two identical disks, each with mass 3.4 kg are attached. The larger disk has a diameter of 0.91 m, and the smaller disk has a diameter of 0.56 m. If a force of 35 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 9.37 x 10
^{0}s^{-2} - -b) 1.14 x 10
^{1}s^{-2} - -c) 1.38 x 10
^{1}s^{-2} - -d) 1.67 x 10
^{1}s^{-2} - +e) 2.02 x 10
^{1}s^{-2}

5) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

6) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

- -a) 15.4 N.
- -b) 17.7 N.
- +c) 20.4 N.
- -d) 23.5 N.
- -e) 27 N.

7) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- -a) 53.7 degrees
- -b) 61.8 degrees
- +c) 71 degrees
- -d) 81.7 degrees
- -e) 93.9 degrees

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 2.9m

^{3}and V

_{4}= 5.8m

^{3}. What is the temperature at step 4?

- -a) 8.59 x 10
^{0}K - -b) 2.71 x 10
^{1}K - -c) 8.59 x 10
^{1}K - -d) 2.71 x 10
^{2}K - +e) 8.59 x 10
^{2}K

9) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- -a) 10.01 N.
- -b) 11.51 N.
- -c) 13.23 N.
- -d) 15.22 N.
- +e) 17.5 N.

11) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

- -a) 1.62m/s.
- -b) 1.95m/s.
- +c) 2.34m/s.
- -d) 2.8m/s.
- -e) 3.36m/s.

12) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 3.40E4 Pa
- +b) 4.12E4 Pa
- -c) 4.99E4 Pa
- -d) 6.04E4 Pa
- -e) 7.32E4 Pa

13) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 21.0 meters
- +b) 20.0 meters
- -c) 22.0 meters
- -d) 19.0 meters
- -e) 23.0 meters

14) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

- -a) 8.05 x 10
^{1}m/s - -b) 9.76 x 10
^{1}m/s - -c) 1.18 x 10
^{2}m/s - +d) 1.43 x 10
^{2}m/s - -e) 1.73 x 10
^{2}m/s

- -a) 1.59 x 10
^{4}J - -b) 1.87 x 10
^{4}J - +c) 2.2 x 10
^{4}J - -d) 2.6 x 10
^{4}J - -e) 3.06 x 10
^{4}J

- -a) 1.312 kg
- -b) 1.377 kg
- -c) 1.446 kg
- -d) 1.518 kg
- +e) 1.594 kg

#### Key: K2[edit]

1) In the figure shown, θ_{1}is 18 degrees, and θ

_{3}is 35 degrees. The tension T

_{3}is 48 N. What is the tension, T

_{1}?

- -a) 31.26 N.
- -b) 35.95 N.
- +c) 41.34 N.
- -d) 47.54 N.
- -e) 54.68 N.

2) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- -a) 53.3 degrees
- -b) 61.3 degrees
- +c) 70.5 degrees
- -d) 81.1 degrees
- -e) 93.3 degrees

3) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

4) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- -a) 2.48E4 Pa
- -b) 3.00E4 Pa
- -c) 3.64E4 Pa
- +d) 4.41E4 Pa
- -e) 5.34E4 Pa

5) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

- -a) 1.49m/s.
- -b) 1.79m/s.
- -c) 2.15m/s.
- -d) 2.58m/s.
- +e) 3.09m/s.

- -a) 0.401 kg
- -b) 0.421 kg
- +c) 0.442 kg
- -d) 0.464 kg
- -e) 0.487 kg

7) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

- +a) 1.31 x 10
^{2}m/s - -b) 1.59 x 10
^{2}m/s - -c) 1.93 x 10
^{2}m/s - -d) 2.33 x 10
^{2}m/s - -e) 2.83 x 10
^{2}m/s

8) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- -a) 6.6 N.
- -b) 7.6 N.
- -c) 8.7 N.
- -d) 10 N.
- +e) 11.5 N.

9) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 21.0 meters
- -b) 23.0 meters
- -c) 22.0 meters
- +d) 20.0 meters
- -e) 19.0 meters

_{1}= 5.3m, L

_{2}= 4.3m and L

_{3}= 8m. What is F

_{1}if F

_{2}=7.6N and F

_{3}=5.9N?

- -a) 1.03E+01 N
- -b) 1.24E+01 N
- +c) 1.51E+01 N
- -d) 1.83E+01 N
- -e) 2.21E+01 N

_{1}= 2.6 kPa, P

_{2}= 5.7 kPa. The volumes are V

_{1}= 2.7m

^{3}and V

_{4}= 5.5m

^{3}. What is the temperature at step 4?

- +a) 1.15 x 10
^{3}K - -b) 3.63 x 10
^{3}K - -c) 1.15 x 10
^{4}K - -d) 3.63 x 10
^{4}K - -e) 1.15 x 10
^{5}K

12) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- -a) northwest
- -b) north
- -c) southwest
- +d) northeast
- -e) south

13) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

- -a) 6.62 x 10
^{4}J - -b) 7.8 x 10
^{4}J - +c) 9.19 x 10
^{4}J - -d) 1.08 x 10
^{5}J - -e) 1.28 x 10
^{5}J

14) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

^{2}. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 8.4 x 10
^{0}s^{-2} - -b) 1.02 x 10
^{1}s^{-2} - -c) 1.23 x 10
^{1}s^{-2} - +d) 1.49 x 10
^{1}s^{-2} - -e) 1.81 x 10
^{1}s^{-2}

16) A large cylinder is filled with water so that the bottom is 5.4 m below the waterline. At the bottom is a small hole with a diameter of 9.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

- -a) 7.01E0 m/s
- -b) 8.49E0 m/s
- +c) 1.03E1 m/s
- -d) 1.25E1 m/s
- -e) 1.51E1 m/s

### Key: L0[edit]

1) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- +b) 10.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- -e) 11.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

4) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- -a) northeast
- +b) northwest
- -c) north
- -d) south
- -e) southwest

- -a) 6.6 N.
- -b) 7.6 N.
- -c) 8.7 N.
- -d) 10 N.
- +e) 11.5 N.

6) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 41.2N at an angle of 42 degress above the horizontal. What is the magnitude of the friction?

- -a) 23.15 N.
- -b) 26.62 N.
- +c) 30.62 N.
- -d) 35.21 N.
- -e) 40.49 N.

_{1} is 16 degrees, and θ_{3} is 30 degrees. The tension T_{3} is 45 N. What is the weight?

- -a) 25.5 N.
- -b) 29.3 N.
- +c) 33.7 N.
- -d) 38.7 N.
- -e) 44.5 N.

- +a) 1.92 m
- -b) 2.06 m
- -c) 2.20 m
- -d) 2.35 m
- -e) 2.52 m

9) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

- -a) 1427 kg
- -b) 1712 kg
- +c) 2055 kg
- -d) 2466 kg
- -e) 2959 kg

_{1}= 6.3m, L

_{2}= 4.3m and L

_{3}= 8.5m. What is F

_{1}if F

_{2}=8.4N and F

_{3}=5.2N?

- +a) 1.27E+01 N
- -b) 1.54E+01 N
- -c) 1.87E+01 N
- -d) 2.27E+01 N
- -e) 2.75E+01 N

11) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

- +a) 1.26 x 10
^{1}m - -b) 1.52 x 10
^{1}m - -c) 1.84 x 10
^{1}m - -d) 2.23 x 10
^{1}m - -e) 2.7 x 10
^{1}m

12) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- -a) 1.95E4 Pa
- +b) 2.46E4 Pa
- -c) 3.09E4 Pa
- -d) 3.89E4 Pa
- -e) 4.90E4 Pa

13) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 30.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 1.63E2 mm
- -b) 1.98E2 mm
- +c) 2.40E2 mm
- -d) 2.90E2 mm
- -e) 3.52E2 mm

14) What is the root-mean-square of 6, -2, and -44?

- -a) 1.619 x 10
^{1} - -b) 1.817 x 10
^{1} - -c) 2.039 x 10
^{1} - -d) 2.287 x 10
^{1} - +e) 2.566 x 10
^{1}

15) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 32.6 C to 75.6 C?

- -a) 3.68 x 10
^{4}J - -b) 4.33 x 10
^{4}J - -c) 5.11 x 10
^{4}J - -d) 6.02 x 10
^{4}J - +e) 7.1 x 10
^{4}J

_{1}= 1.3 kPa, P

_{2}= 3.4 kPa. The volumes are V

_{1}= 2.5m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- -a) 1.34 x 10
^{2}J - -b) 4.23 x 10
^{2}J - -c) 1.34 x 10
^{3}J - +d) 4.23 x 10
^{3}J - -e) 1.34 x 10
^{4}J

#### Key: L1[edit]

1) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. How much heat does it take to raise both from 54.4 C to 78.1 C?

- -a) 2.43 x 10
^{4}J - -b) 2.86 x 10
^{4}J - -c) 3.38 x 10
^{4}J - -d) 3.98 x 10
^{4}J - +e) 4.69 x 10
^{4}J

2) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- -a) northeast
- +b) northwest
- -c) south
- -d) north
- -e) southwest

3) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

- -a) 27.4 N.
- -b) 31.5 N.
- -c) 36.2 N.
- -d) 41.7 N.
- +e) 47.9 N.

4) In the figure "3 tensions" shown above θ_{1} is 19 degrees, and θ_{3} is 38 degrees. The tension T_{3} is 21 N. What is the weight?

- +a) 18.6 N.
- -b) 21.4 N.
- -c) 24.6 N.
- -d) 28.3 N.
- -e) 32.6 N.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- -a) 32.04 degrees.
- -b) 36.85 degrees.
- -c) 42.37 degrees.
- +d) 48.73 degrees.
- -e) 56.04 degrees.

6) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- -a) 1507 kg
- -b) 1809 kg
- -c) 2170 kg
- +d) 2604 kg
- -e) 3125 kg

7) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- -a) 1.95E4 Pa
- +b) 2.46E4 Pa
- -c) 3.09E4 Pa
- -d) 3.89E4 Pa
- -e) 4.90E4 Pa

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 11.0 meters
- -b) 7.0 meters
- -c) 9.0 meters
- +d) 10.0 meters
- -e) 8.0 meters

9) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

- -a) 24.29 N.
- -b) 27.93 N.
- +c) 32.12 N.
- -d) 36.94 N.
- -e) 42.48 N.

10) A car with a tire radius of 0.24 m accelerates from 0 to 33 m/s in 8.5 seconds. What is the angular acceleration of the wheel?

- -a) 1.34 x 10
^{1}m - +b) 1.62 x 10
^{1}m - -c) 1.96 x 10
^{1}m - -d) 2.37 x 10
^{1}m - -e) 2.88 x 10
^{1}m

_{1}= 3 kPa, P

_{2}= 5.4 kPa. The volumes are V

_{1}= 2.6m

^{3}and V

_{4}= 5m

^{3}. How much work is involved between 2 and 4?

- -a) 1.01 x 10
^{2}J - -b) 3.19 x 10
^{2}J - -c) 1.01 x 10
^{3}J - -d) 3.19 x 10
^{3}J - +e) 1.01 x 10
^{4}J

_{1}= 6.5m, L

_{2}= 3.2m and L

_{3}= 8.8m. What is F

_{1}if F

_{2}=9.3N and F

_{3}=5.9N?

- -a) 8.56E+00 N
- -b) 1.04E+01 N
- +c) 1.26E+01 N
- -d) 1.52E+01 N
- -e) 1.84E+01 N

- -a) 4.06E2 mm
- +b) 4.92E2 mm
- -c) 5.96E2 mm
- -d) 7.22E2 mm
- -e) 8.74E2 mm

- +a) 2.00 m
- -b) 2.14 m
- -c) 2.29 m
- -d) 2.45 m
- -e) 2.62 m

15) What is the root-mean-square of 6, -2, and -44?

- -a) 1.619 x 10
^{1} - -b) 1.817 x 10
^{1} - -c) 2.039 x 10
^{1} - -d) 2.287 x 10
^{1} - +e) 2.566 x 10
^{1}

16) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- -a) 0.5m/s/s.
- -b) 0.61m/s/s.
- -c) 0.73m/s/s.
- -d) 0.87m/s/s.
- +e) 1.05m/s/s.

#### Key: L2[edit]

1) In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- +a) 40.3 N.
- -b) 46.4 N.
- -c) 53.3 N.
- -d) 61.3 N.
- -e) 70.5 N.

_{1}= 6.4m, L

_{2}= 3.2m and L

_{3}= 8.3m. What is F

_{1}if F

_{2}=8.5N and F

_{3}=6.5N?

- -a) 5.89E+00 N
- -b) 7.13E+00 N
- -c) 8.64E+00 N
- -d) 1.05E+01 N
- +e) 1.27E+01 N

3) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- -a) 1883 kg
- -b) 2259 kg
- +c) 2711 kg
- -d) 3253 kg
- -e) 3904 kg

4) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 9.0 meters
- -c) 11.0 meters
- +d) 10.0 meters
- -e) 8.0 meters

5) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

- -a) 17.21 N.
- -b) 19.79 N.
- -c) 22.76 N.
- +d) 26.17 N.
- -e) 30.1 N.

6) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

- -a) 7.88 x 10
^{4}J - -b) 9.29 x 10
^{4}J - +c) 1.1 x 10
^{5}J - -d) 1.29 x 10
^{5}J - -e) 1.52 x 10
^{5}J

_{1}= 1.3 kPa, P

_{2}= 3.7 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 2 and 4?

- -a) 8.7 x 10
^{2}J - +b) 2.75 x 10
^{3}J - -c) 8.7 x 10
^{3}J - -d) 2.75 x 10
^{4}J - -e) 8.7 x 10
^{4}J

8) What is the root-mean-square of -46, -13, and 17?

- -a) 2.074 x 10
^{1} - -b) 2.327 x 10
^{1} - -c) 2.611 x 10
^{1} - +d) 2.929 x 10
^{1} - -e) 3.287 x 10
^{1}

9) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- -a) 1.74E4 Pa
- -b) 2.19E4 Pa
- -c) 2.75E4 Pa
- +d) 3.47E4 Pa
- -e) 4.37E4 Pa

10) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 6.30E1 mm
- -b) 7.63E1 mm
- -c) 9.24E1 mm
- +d) 1.12E2 mm
- -e) 1.36E2 mm

11) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

- -a) 6.6 N.
- -b) 7.6 N.
- -c) 8.7 N.
- -d) 10 N.
- +e) 11.5 N.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- -a) 21.32 degrees.
- -b) 24.51 degrees.
- -c) 28.19 degrees.
- +d) 32.42 degrees.
- -e) 37.28 degrees.