# Quizbank/College Physics Sem 1/T4

College Physics Sem 1/T4 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-T4.pdf

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

### T4 A0[edit]

1) 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}

^{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}

3) 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

4) 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

5) 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

6) 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

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 0.68 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

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 0.61 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

_{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

#### T4 A1[edit]

1) 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

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 0.99 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

3) 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}

4) 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

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 0.99 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}= 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

_{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

8) 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

^{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}

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

#### T4 A2[edit]

_{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

_{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

3) 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

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 0.68 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

5) 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 moment of inertia?

- a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

6) 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

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 0.61 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

8) 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

^{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}

10) 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

### T4 B0[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 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

^{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}

3) 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

4) 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

5) 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

6) What is the rms speed of a molecule with an atomic mass of 11 if the temperature is 48 degrees Fahrenheit?

- a) 4.5 x 10
^{2}m/s - b) 5.45 x 10
^{2}m/s - c) 6.6 x 10
^{2}m/s - d) 8 x 10
^{2}m/s - e) 9.69 x 10
^{2}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 0.61 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}

8) 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

_{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

#### T4 B1[edit]

1) 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

2) 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

_{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) 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

5) 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}. 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}

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) {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}

_{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

10) What is the rms speed of a molecule with an atomic mass of 21 if the temperature is 58 degrees Fahrenheit?

- a) 4.82 x 10
^{2}m/s - b) 5.84 x 10
^{2}m/s - c) 7.08 x 10
^{2}m/s - d) 8.58 x 10
^{2}m/s - e) 1.04 x 10
^{3}m/s

#### T4 B2[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 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

2) 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}= 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

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. 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}

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

6) 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 buoyant force?

- a) 6.97E3 N
- b) 8.44E3 N
- c) 1.02E4 N
- d) 1.24E4 N
- e) 1.50E4 N

7) 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

8) 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 force exerted by the water at the top surface?

- a) 6.89E3 N
- b) 8.67E3 N
- c) 1.09E4 N
- d) 1.37E4 N
- e) 1.73E4 N

_{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

^{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}

### T4 C0[edit]

1) 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

^{2}. Two identical disks, each with mass 4.7 kg are attached. The larger disk has a diameter of 0.81 m, and the smaller disk has a diameter of 0.44 m. If a force of 97 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 4.27 x 10
^{1}s^{-2} - b) 5.18 x 10
^{1}s^{-2} - c) 6.27 x 10
^{1}s^{-2} - d) 7.6 x 10
^{1}s^{-2} - e) 9.21 x 10
^{1}s^{-2}

3) 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

4) 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

5) 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

6) 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}

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 0.95 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}

8) 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}= 1.9 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

_{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

#### T4 C1[edit]

1) 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}= 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) 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

4) 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

^{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}

_{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

7) What is the root-mean-square of -20, 40, and -32?

- a) 2.522 x 10
^{1} - b) 2.83 x 10
^{1} - c) 3.175 x 10
^{1} - d) 3.562 x 10
^{1} - e) 3.997 x 10
^{1}

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 0.82 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}

9) 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

10) 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

#### T4 C2[edit]

_{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

2) 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 fluid on the bottom of the cylinder?

- a) 8.26E3 Pa
- b) 1.04E4 Pa
- c) 1.31E4 Pa
- d) 1.65E4 Pa
- e) 2.07E4 Pa

3) 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

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

^{2}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 3.44 x 10
^{0}s^{-2} - b) 4.17 x 10
^{0}s^{-2} - c) 5.05 x 10
^{0}s^{-2} - d) 6.12 x 10
^{0}s^{-2} - e) 7.41 x 10
^{0}s^{-2}

6) 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

7) 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}= 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) 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) 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}

### T4 D0[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 moment of inertia?

- a) 2.82 x 10
^{-1}kg m^{2}/s^{2} - b) 3.41 x 10
^{-1}kg m^{2}/s^{2} - c) 4.14 x 10
^{-1}kg m^{2}/s^{2} - d) 5.01 x 10
^{-1}kg m^{2}/s^{2} - e) 6.07 x 10
^{-1}kg m^{2}/s^{2}

^{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}

3) 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

4) 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

5) 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

6) 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

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 0.95 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

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. 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}= 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

#### T4 D1[edit]

1) 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

2) 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

_{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

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 0.66 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}

^{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}

6) 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 pressure difference (in Pascals) between the two regions of the pipe?

- a) 4.64E3
- b) 5.62E3
- c) 6.81E3
- d) 8.25E3
- e) 9.99E3

7) 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

_{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

9) 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 moment of inertia?

- a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

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. 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

#### T4 D2[edit]

1) 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

2) 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

3) 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

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 0.68 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}

_{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

6) 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

^{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}

8) 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 moment of inertia?

- a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

_{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

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 0.68 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

### T4 E0[edit]

1) 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

^{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}

3) 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

4) 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

5) 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

6) 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}

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 0.99 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

8) 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}= 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

#### T4 E1[edit]

_{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

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 0.82 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

3) 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

4) 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

^{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}

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

_{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

8) 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}

9) 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

10) 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

#### T4 E2[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 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

3) 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

4) 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

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 0.61 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

^{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}

7) 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

8) 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}

_{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

### T4 F0[edit]

1) 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

2) 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

3) 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

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 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

5) 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 pressure difference (in Pascals) between the two regions of the pipe?

- a) 4.64E3
- b) 5.62E3
- c) 6.81E3
- d) 8.25E3
- e) 9.99E3

6) 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

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 0.68 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}

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. 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}= 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

#### T4 F1[edit]

1) 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

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. 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}

3) 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

4) 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

_{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

6) 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

_{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

8) 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

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 0.68 kg is filled with 0.17 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) 2.61 x 10
^{0}km - b) 3.16 x 10
^{0}km - c) 3.83 x 10
^{0}km - d) 4.64 x 10
^{0}km - e) 5.62 x 10
^{0}km

10) 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

#### T4 F2[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 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

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. 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

3) 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

_{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 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

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 0.68 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}

7) 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

8) 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}= 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

10) 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

### T4 G0[edit]

1) 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

2) 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}

3) 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

4) 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

5) 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

6) 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

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) {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. 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) 2.61 x 10
^{0}km - b) 3.16 x 10
^{0}km - c) 3.83 x 10
^{0}km - d) 4.64 x 10
^{0}km - e) 5.62 x 10
^{0}km

_{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

_{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

#### T4 G1[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 force exerted by the water at the top surface?

- a) 6.89E3 N
- b) 8.67E3 N
- c) 1.09E4 N
- d) 1.37E4 N
- e) 1.73E4 N

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. 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

3) 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

_{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}= 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

6) If a molecule with atomic mass equal to 2 amu has a speed of 305 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 29 ?

- a) 8.01 x 10
^{1}m/s - b) 9.7 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.42 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

7) 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}

8) 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

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) {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}

#### T4 G2[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. 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) 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

3) 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}

4) 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

_{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

_{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

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 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

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 0.68 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}

10) 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

### T4 H0[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 moment of inertia?

- a) 2.82 x 10
^{-1}kg m^{2}/s^{2} - b) 3.41 x 10
^{-1}kg m^{2}/s^{2} - c) 4.14 x 10
^{-1}kg m^{2}/s^{2} - d) 5.01 x 10
^{-1}kg m^{2}/s^{2} - e) 6.07 x 10
^{-1}kg m^{2}/s^{2}

^{2}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 3.44 x 10
^{0}s^{-2} - b) 4.17 x 10
^{0}s^{-2} - c) 5.05 x 10
^{0}s^{-2} - d) 6.12 x 10
^{0}s^{-2} - e) 7.41 x 10
^{0}s^{-2}

3) 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

4) 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

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). 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

6) What is the rms speed of a molecule with an atomic mass of 17 if the temperature is 31 degrees Fahrenheit?

- a) 6.32 x 10
^{2}m/s - b) 7.66 x 10
^{2}m/s - c) 9.28 x 10
^{2}m/s - d) 1.12 x 10
^{3}m/s - e) 1.36 x 10
^{3}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 0.68 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}

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. 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) 2.61 x 10
^{0}km - b) 3.16 x 10
^{0}km - c) 3.83 x 10
^{0}km - d) 4.64 x 10
^{0}km - e) 5.62 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

#### T4 H1[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 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}

3) 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

^{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}

5) 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

6) 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

_{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) What is the rms speed of a molecule with an atomic mass of 14 if the temperature is 10 degrees Fahrenheit?

- a) 3.16 x 10
^{2}m/s - b) 3.83 x 10
^{2}m/s - c) 4.65 x 10
^{2}m/s - d) 5.63 x 10
^{2}m/s - e) 6.82 x 10
^{2}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 0.99 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}

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 0.82 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

#### T4 H2[edit]

1) 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}

2) 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}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 3.44 x 10
^{0}s^{-2} - b) 4.17 x 10
^{0}s^{-2} - c) 5.05 x 10
^{0}s^{-2} - d) 6.12 x 10
^{0}s^{-2} - e) 7.41 x 10
^{0}s^{-2}

4) 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 force exerted by the water at the top surface?

- a) 6.89E3 N
- b) 8.67E3 N
- c) 1.09E4 N
- d) 1.37E4 N
- e) 1.73E4 N

_{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

_{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

7) 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

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. 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

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 0.95 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}

10) 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

### T4 I0[edit]

1) 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

^{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}

3) 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 buoyant force?

- a) 6.97E3 N
- b) 8.44E3 N
- c) 1.02E4 N
- d) 1.24E4 N
- e) 1.50E4 N

4) 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

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 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

6) 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

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 0.95 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

8) 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}= 1.9 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

_{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

#### T4 I1[edit]

1) 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

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

_{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

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 0.99 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

5) 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

6) 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

_{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

^{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}

9) 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

10) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

- a) 9.52 x 10
^{0}m - b) 1.15 x 10
^{1}m - c) 1.4 x 10
^{1}m - d) 1.69 x 10
^{1}m - e) 2.05 x 10
^{1}m

#### T4 I2[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 0.61 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

_{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

3) 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

4) 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

_{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

^{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}

7) 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

8) 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

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

10) 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

### T4 J0[edit]

1) 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}

2) 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

3) 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

4) 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

5) 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

6) 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

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) 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}= 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}= 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

#### T4 J1[edit]

1) 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}

2) 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

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}= 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

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 0.95 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}

6) 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

7) 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

8) 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 fluid on the bottom of the cylinder?

- a) 8.26E3 Pa
- b) 1.04E4 Pa
- c) 1.31E4 Pa
- d) 1.65E4 Pa
- e) 2.07E4 Pa

_{1}= 2 kPa, P

_{2}= 4.1 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.3m

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

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

10) 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

#### T4 J2[edit]

1) 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

2) 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

3) 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

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 0.95 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}

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). 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}= 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

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

_{1}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

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

- a) 1.44 x 10
^{2}J - b) 4.56 x 10
^{2}J - c) 1.44 x 10
^{3}J - d) 4.56 x 10
^{3}J - e) 1.44 x 10
^{4}J

9) 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}

10) 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

### T4 K0[edit]

1) 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

^{2}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 3.44 x 10
^{0}s^{-2} - b) 4.17 x 10
^{0}s^{-2} - c) 5.05 x 10
^{0}s^{-2} - d) 6.12 x 10
^{0}s^{-2} - e) 7.41 x 10
^{0}s^{-2}

3) 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

4) 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 fluid on the bottom of the cylinder?

- a) 8.17E3 Pa
- b) 1.03E4 Pa
- c) 1.29E4 Pa
- d) 1.63E4 Pa
- e) 2.05E4 Pa

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 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

6) 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

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 0.61 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

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 0.82 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}= 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

_{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

#### T4 K1[edit]

1) 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

_{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

^{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}

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 0.61 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

5) 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 pressure difference (in Pascals) between the two regions of the pipe?

- a) 4.64E3
- b) 5.62E3
- c) 6.81E3
- d) 8.25E3
- e) 9.99E3

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 0.95 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}

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 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 force exerted by the fluid on the bottom of the cylinder?

- a) 1.68E4 Pa
- b) 2.12E4 Pa
- c) 2.67E4 Pa
- d) 3.36E4 Pa
- e) 4.23E4 Pa

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 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

_{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

#### T4 K2[edit]

_{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

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 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

3) 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

4) 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 fluid on the bottom of the cylinder?

- a) 8.26E3 Pa
- b) 1.04E4 Pa
- c) 1.31E4 Pa
- d) 1.65E4 Pa
- e) 2.07E4 Pa

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 0.82 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

6) 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

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 0.82 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}= 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

^{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}

10) 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

### T4 L0[edit]

1) 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

2) 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}

3) 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

4) 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

5) 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

6) 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}

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 0.61 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

8) 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}= 1.1 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

_{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

#### T4 L1[edit]

1) 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

_{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

3) 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}

4) 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

5) 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

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 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

_{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

9) 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

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 0.82 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

#### T4 L2[edit]

1) 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

2) What is the root-mean-square of 44, 4, and 36?

- a) 2.614 x 10
^{1} - b) 2.933 x 10
^{1} - c) 3.29 x 10
^{1} - d) 3.692 x 10
^{1} - e) 4.142 x 10
^{1}

_{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 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

5) 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). If two fluid elements at the center of the pipe are separated by 16.0 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) 9.25E1 mm
- b) 1.12E2 mm
- c) 1.36E2 mm
- d) 1.64E2 mm
- e) 1.99E2 mm

6) 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 force exerted by the water at the top surface?

- a) 1.07E4 N
- b) 1.34E4 N
- c) 1.69E4 N
- d) 2.13E4 N
- e) 2.68E4 N

7) 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

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 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}

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 0.99 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}= 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

### T4 M0[edit]

1) 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

^{2}. Two identical disks, each with mass 4.7 kg are attached. The larger disk has a diameter of 0.81 m, and the smaller disk has a diameter of 0.44 m. If a force of 97 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 4.27 x 10
^{1}s^{-2} - b) 5.18 x 10
^{1}s^{-2} - c) 6.27 x 10
^{1}s^{-2} - d) 7.6 x 10
^{1}s^{-2} - e) 9.21 x 10
^{1}s^{-2}

3) 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 force exerted by the water at the top surface?

- a) 6.89E3 N
- b) 8.67E3 N
- c) 1.09E4 N
- d) 1.37E4 N
- e) 1.73E4 N

4) 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

5) 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

6) 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

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 0.82 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

8) 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}= 1.5 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

_{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

#### T4 M1[edit]

1) 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

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. 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

3) 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

4) 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}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

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

- a) 1.44 x 10
^{2}J - b) 4.56 x 10
^{2}J - c) 1.44 x 10
^{3}J - d) 4.56 x 10
^{3}J - e) 1.44 x 10
^{4}J

_{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

^{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 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

9) 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

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

#### T4 M2[edit]

1) 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

^{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}

3) 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

4) 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

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 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

_{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

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 0.61 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

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 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

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). 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}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

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

- a) 1.44 x 10
^{2}J - b) 4.56 x 10
^{2}J - c) 1.44 x 10
^{3}J - d) 4.56 x 10
^{3}J - e) 1.44 x 10
^{4}J

### T4 N0[edit]

1) 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}

^{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}

3) 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 pressure at the top face of the cylinder?

- a) 2.54E4 Pa
- b) 3.07E4 Pa
- c) 3.72E4 Pa
- d) 4.51E4 Pa
- e) 5.46E4 Pa

4) 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

5) 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

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) 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}

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. 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) 2.61 x 10
^{0}km - b) 3.16 x 10
^{0}km - c) 3.83 x 10
^{0}km - d) 4.64 x 10
^{0}km - e) 5.62 x 10
^{0}km

_{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

#### T4 N1[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. 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}

2) 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}= 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

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

^{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}

6) 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

7) 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

8) 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}

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

_{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

#### T4 N2[edit]

1) 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

2) 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}

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. 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

_{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

_{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

6) 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

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) 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 moment of inertia?

- a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

^{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}

10) 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 force exerted by the water at the top surface?

- a) 1.07E4 N
- b) 1.34E4 N
- c) 1.69E4 N
- d) 2.13E4 N
- e) 2.68E4 N

### T4 O0[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}. 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}

3) 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

4) 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

5) 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

6) 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

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. 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

- a) 2.61 x 10
^{0}km - b) 3.16 x 10
^{0}km - c) 3.83 x 10
^{0}km - d) 4.64 x 10
^{0}km - e) 5.62 x 10
^{0}km

_{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

#### T4 O1[edit]

1) 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

2) 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

3) 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}. 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}

_{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

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) 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

_{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

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 0.95 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

10) 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 force exerted by the water at the top surface?

- a) 1.07E4 N
- b) 1.34E4 N
- c) 1.69E4 N
- d) 2.13E4 N
- e) 2.68E4 N

#### T4 O2[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. 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) 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

_{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

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. 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}. 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}

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

7) 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

8) 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

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

_{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

### T4 P0[edit]

1) 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

2) 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 moment of inertia?

- a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

3) 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

4) 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

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). 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

6) 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

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 0.82 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}

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. 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}= 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

_{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

#### T4 P1[edit]

_{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

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 0.68 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}

3) 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

_{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

5) 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

6) 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 moment of inertia?

- a) 2.82 x 10
^{-1}kg m^{2}/s^{2} - b) 3.41 x 10
^{-1}kg m^{2}/s^{2} - c) 4.14 x 10
^{-1}kg m^{2}/s^{2} - d) 5.01 x 10
^{-1}kg m^{2}/s^{2} - e) 6.07 x 10
^{-1}kg m^{2}/s^{2}

7) 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

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 0.66 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

9) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

- a) 9.52 x 10
^{0}m - b) 1.15 x 10
^{1}m - c) 1.4 x 10
^{1}m - d) 1.69 x 10
^{1}m - e) 2.05 x 10
^{1}m

10) 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

#### T4 P2[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 0.66 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

2) 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

_{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

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 0.99 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}

5) 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

6) 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}

7) 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

8) 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

9) 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

_{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

### T4 Q0[edit]

1) 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

^{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}

3) 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

4) 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

5) 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

6) 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

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 0.68 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

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}

_{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

_{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

#### T4 Q1[edit]

1) 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

2) 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 pressure difference (in Pascals) between the two regions of the pipe?

- a) 4.64E3
- b) 5.62E3
- c) 6.81E3
- d) 8.25E3
- e) 9.99E3

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. 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

4) 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

_{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

6) 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

^{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}

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. 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}

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 buoyant force?

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

#### T4 Q2[edit]

1) 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

2) 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 force exerted by the water at the top surface?

- a) 1.07E4 N
- b) 1.34E4 N
- c) 1.69E4 N
- d) 2.13E4 N
- e) 2.68E4 N

3) 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

_{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) If a molecule with atomic mass equal to 2 amu has a speed of 305 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 29 ?

- a) 8.01 x 10
^{1}m/s - b) 9.7 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.42 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

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. 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}

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 0.68 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

^{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}

_{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

10) 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

### T4 R0[edit]

1) 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}

^{2}. Two identical disks, each with mass 4.7 kg are attached. The larger disk has a diameter of 0.81 m, and the smaller disk has a diameter of 0.44 m. If a force of 97 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 4.27 x 10
^{1}s^{-2} - b) 5.18 x 10
^{1}s^{-2} - c) 6.27 x 10
^{1}s^{-2} - d) 7.6 x 10
^{1}s^{-2} - e) 9.21 x 10
^{1}s^{-2}

3) 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

4) 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

5) 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

6) 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}

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 0.99 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

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 0.82 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

#### T4 R1[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 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

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 0.82 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

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 0.66 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}

4) 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}

5) 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

6) 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}= 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

8) 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}

_{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

^{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}

#### T4 R2[edit]

_{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

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. 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

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) 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}

5) 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 buoyant force?

- a) 6.97E3 N
- b) 8.44E3 N
- c) 1.02E4 N
- d) 1.24E4 N
- e) 1.50E4 N

_{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

- 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}

^{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}

9) 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

10) 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

### T4 S0[edit]

1) 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 moment of inertia?

- a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

^{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}

3) 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

4) 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

5) 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). If two fluid elements at the center of the pipe are separated by 16.0 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) 9.25E1 mm
- b) 1.12E2 mm
- c) 1.36E2 mm
- d) 1.64E2 mm
- e) 1.99E2 mm

6) What is the root-mean-square of 9, -17, and -8?

- a) 1.203 x 10
^{1} - b) 1.35 x 10
^{1} - c) 1.514 x 10
^{1} - d) 1.699 x 10
^{1} - e) 1.906 x 10
^{1}

- 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) 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}= 1.9 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

_{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

#### T4 S1[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 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

2) 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}

3) 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

_{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

^{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}

_{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

7) 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}

8) 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

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 0.95 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}

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). 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

#### T4 S2[edit]

_{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

2) 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

3) 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

4) 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

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) 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}. 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}= 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

9) 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}

10) What is the root-mean-square of 44, 4, and 36?

- a) 2.614 x 10
^{1} - b) 2.933 x 10
^{1} - c) 3.29 x 10
^{1} - d) 3.692 x 10
^{1} - e) 4.142 x 10
^{1}

### T4 T0[edit]

1) 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

^{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}

3) 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) 1.11E4 N
- b) 1.40E4 N
- c) 1.76E4 N
- d) 2.22E4 N
- e) 2.79E4 N

5) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-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) 1.08E1 m/s
- b) 1.31E1 m/s
- c) 1.59E1 m/s
- d) 1.93E1 m/s
- e) 2.34E1 m/s

6) 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

- 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

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

_{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

_{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

#### T4 T1[edit]

_{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

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 0.99 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

^{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}

4) 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

5) 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

6) 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

_{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) 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

9) 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

10) 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

#### T4 T2[edit]

^{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}

2) 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}= 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

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 0.99 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}= 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

6) 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

7) 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

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 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

9) 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

10) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-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) 1.08E1 m/s
- b) 1.31E1 m/s
- c) 1.59E1 m/s
- d) 1.93E1 m/s
- e) 2.34E1 m/s

### T4 U0[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) 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

3) 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) 1.11E4 N
- b) 1.40E4 N
- c) 1.76E4 N
- d) 2.22E4 N
- e) 2.79E4 N

5) 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

6) 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

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 0.99 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

- 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}= 1.7 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

#### T4 U1[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 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

- 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

3) 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

_{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

5) 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

- 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

7) 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}

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

_{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

10) 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 force exerted by the water at the top surface?

- a) 1.07E4 N
- b) 1.34E4 N
- c) 1.69E4 N
- d) 2.13E4 N
- e) 2.68E4 N

#### T4 U2[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 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) 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

_{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) {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. 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) 2.61 x 10
^{0}km - b) 3.16 x 10
^{0}km - c) 3.83 x 10
^{0}km - d) 4.64 x 10
^{0}km - e) 5.62 x 10
^{0}km

_{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

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 buoyant force?

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

7) 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

8) 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

9) 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}

10) 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

### T4 V0[edit]

1) 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

^{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}

3) 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

4) 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 fluid on the bottom of the cylinder?

- a) 8.17E3 Pa
- b) 1.03E4 Pa
- c) 1.29E4 Pa
- d) 1.63E4 Pa
- e) 2.05E4 Pa

5) 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

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) 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

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. 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}= 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

#### T4 V1[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 buoyant force?

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

2) 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}

3) 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

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 0.95 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

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 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

^{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}

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}

_{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

_{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

#### T4 V2[edit]

1) 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

2) 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

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) 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

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) What is the root-mean-square of 9, -17, and -8?

- a) 1.203 x 10
^{1} - b) 1.35 x 10
^{1} - c) 1.514 x 10
^{1} - d) 1.699 x 10
^{1} - e) 1.906 x 10
^{1}

_{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

8) 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}= 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

^{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}

### T4 W0[edit]

- 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

2) 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}

3) 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

4) 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 buoyant force?

- a) 4.94E3 N
- b) 5.98E3 N
- c) 7.25E3 N
- d) 8.78E3 N
- e) 1.06E4 N

5) 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 pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.60E5
- b) 1.94E5
- c) 2.35E5
- d) 2.85E5
- e) 3.46E5

- 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

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 0.61 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

8) 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}= 1.1 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

_{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

#### T4 W1[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 buoyant force?

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

2) 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

_{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

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 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}

5) 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

6) 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}= 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

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 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

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 0.99 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

10) 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 pressure at the top face of the cylinder?

- a) 2.54E4 Pa
- b) 3.07E4 Pa
- c) 3.72E4 Pa
- d) 4.51E4 Pa
- e) 5.46E4 Pa

#### T4 W2[edit]

1) 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

2) 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

3) 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

4) 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

_{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

6) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

- a) 9.52 x 10
^{0}m - b) 1.15 x 10
^{1}m - c) 1.4 x 10
^{1}m - d) 1.69 x 10
^{1}m - e) 2.05 x 10
^{1}m

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 0.82 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

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 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

_{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 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}

### T4 X0[edit]

1) 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 moment of inertia?

- a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

2) 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 total kinetic energy if the wheel is rotating about a stationary axis?

- a) 3.79 x 10
^{1}J - b) 4.6 x 10
^{1}J - c) 5.57 x 10
^{1}J - d) 6.75 x 10
^{1}J - e) 8.17 x 10
^{1}J

3) 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

4) 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

- a) 1.35E2 mm
- b) 1.63E2 mm
- c) 1.98E2 mm
- d) 2.40E2 mm
- e) 2.90E2 mm

6) What is the rms speed of a molecule with an atomic mass of 17 if the temperature is 31 degrees Fahrenheit?

- a) 6.32 x 10
^{2}m/s - b) 7.66 x 10
^{2}m/s - c) 9.28 x 10
^{2}m/s - d) 1.12 x 10
^{3}m/s - e) 1.36 x 10
^{3}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 0.99 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}

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 0.61 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

_{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

#### T4 X1[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. 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}

2) 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

3) 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}

4) 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

_{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

6) 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

7) 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

_{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

9) 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

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 0.95 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

#### T4 X2[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. 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

2) 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

3) 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

4) 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 total kinetic energy if the wheel is rotating about a stationary axis?

- a) 3.79 x 10
^{1}J - b) 4.6 x 10
^{1}J - c) 5.57 x 10
^{1}J - d) 6.75 x 10
^{1}J - e) 8.17 x 10
^{1}J

5) 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

_{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

_{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

- 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}

9) 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}

10) What is the rms speed of a molecule with an atomic mass of 11 if the temperature is 48 degrees Fahrenheit?

- a) 4.5 x 10
^{2}m/s - b) 5.45 x 10
^{2}m/s - c) 6.6 x 10
^{2}m/s - d) 8 x 10
^{2}m/s - e) 9.69 x 10
^{2}m/s

### T4 Y0[edit]

1) 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}

2) 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

3) 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

4) 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

5) 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

6) 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

- 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) 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}= 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}= 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

#### T4 Y1[edit]

_{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

2) If a molecule with atomic mass equal to 2 amu has a speed of 305 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 29 ?

- a) 8.01 x 10
^{1}m/s - b) 9.7 x 10
^{1}m/s - c) 1.18 x 10
^{2}m/s - d) 1.42 x 10
^{2}m/s - e) 1.73 x 10
^{2}m/s

3) 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

4) 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

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. 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}

6) 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}

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

_{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

9) 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 pressure at the top face of the cylinder?

- a) 2.54E4 Pa
- b) 3.07E4 Pa
- c) 3.72E4 Pa
- d) 4.51E4 Pa
- e) 5.46E4 Pa

10) 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

#### T4 Y2[edit]

1) 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

2) 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

3) 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

4) 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}

_{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

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 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

- 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}

- 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}= 1.9 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

10) 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 force exerted by the fluid on the bottom of the cylinder?

- a) 1.68E4 Pa
- b) 2.12E4 Pa
- c) 2.67E4 Pa
- d) 3.36E4 Pa
- e) 4.23E4 Pa

### T4 Z0[edit]

1) 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

^{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}

3) 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

4) 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

5) 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 pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.60E5
- b) 1.94E5
- c) 2.35E5
- d) 2.85E5
- e) 3.46E5

6) 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

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 0.99 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

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

_{1}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

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

- a) 1.44 x 10
^{2}J - b) 4.56 x 10
^{2}J - c) 1.44 x 10
^{3}J - d) 4.56 x 10
^{3}J - e) 1.44 x 10
^{4}J

#### T4 Z1[edit]

1) 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

_{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 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 pressure difference (in Pascals) between the two regions of the pipe?

- a) 1.60E5
- b) 1.94E5
- c) 2.35E5
- d) 2.85E5
- e) 3.46E5

4) 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 force exerted by the water at the top surface?

- a) 1.07E4 N
- b) 1.34E4 N
- c) 1.69E4 N
- d) 2.13E4 N
- e) 2.68E4 N

5) 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

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 0.95 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

7) 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

_{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

9) 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

^{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}

#### T4 Z2[edit]

1) 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

2) 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

_{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

^{2}. Two identical disks, each with mass 4.7 kg are attached. The larger disk has a diameter of 0.81 m, and the smaller disk has a diameter of 0.44 m. If a force of 97 N is applied at the rim of the smaller disk, what is the angular acceleration?

- a) 4.27 x 10
^{1}s^{-2} - b) 5.18 x 10
^{1}s^{-2} - c) 6.27 x 10
^{1}s^{-2} - d) 7.6 x 10
^{1}s^{-2} - e) 9.21 x 10
^{1}s^{-2}

5) 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}= 1.5 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

7) 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

8) 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

9) 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

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. 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

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### Key: A0[edit]

1) 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}

^{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}

3) 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

- -a) 1.14E4 Pa
- -b) 1.44E4 Pa
- +c) 1.81E4 Pa
- -d) 2.28E4 Pa
- -e) 2.87E4 Pa

5) 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

6) 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

- -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

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 0.61 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

_{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

_{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

#### Key: A1[edit]

1) 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

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 0.99 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

3) 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}

4) 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

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 0.99 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}= 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

_{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

8) 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

^{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}

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

#### Key: A2[edit]

1) A 1241 heat cycle uses 2.8 moles of an ideal gas. The pressures and volumes are: P_{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

_{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

3) 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

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 0.68 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

5) 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 moment of inertia?

- +a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - -b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - -c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - -d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - -e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

6) 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

- -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

8) 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

^{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}

10) 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

### Key: B0[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 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

^{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}

3) 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

- +a) 1.19E4 N
- -b) 1.50E4 N
- -c) 1.89E4 N
- -d) 2.38E4 N
- -e) 2.99E4 N

5) 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

6) What is the rms speed of a molecule with an atomic mass of 11 if the temperature is 48 degrees Fahrenheit?

- -a) 4.5 x 10
^{2}m/s - -b) 5.45 x 10
^{2}m/s - -c) 6.6 x 10
^{2}m/s - +d) 8 x 10
^{2}m/s - -e) 9.69 x 10
^{2}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 0.61 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}

8) 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

_{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

_{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

#### Key: B1[edit]

1) 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

2) 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

_{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

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

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

^{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}

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) {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}

_{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

10) What is the rms speed of a molecule with an atomic mass of 21 if the temperature is 58 degrees Fahrenheit?

- -a) 4.82 x 10
^{2}m/s - +b) 5.84 x 10
^{2}m/s - -c) 7.08 x 10
^{2}m/s - -d) 8.58 x 10
^{2}m/s - -e) 1.04 x 10
^{3}m/s

#### Key: B2[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 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

2) 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}= 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

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. 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}

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

6) 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 buoyant force?

- -a) 6.97E3 N
- -b) 8.44E3 N
- +c) 1.02E4 N
- -d) 1.24E4 N
- -e) 1.50E4 N

7) 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

8) 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 force exerted by the water at the top surface?

- -a) 6.89E3 N
- -b) 8.67E3 N
- -c) 1.09E4 N
- +d) 1.37E4 N
- -e) 1.73E4 N

_{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

^{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}

### Key: C0[edit]

- -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

^{2}. Two identical disks, each with mass 4.7 kg are attached. The larger disk has a diameter of 0.81 m, and the smaller disk has a diameter of 0.44 m. If a force of 97 N is applied at the rim of the smaller disk, what is the angular acceleration?

- +a) 4.27 x 10
^{1}s^{-2} - -b) 5.18 x 10
^{1}s^{-2} - -c) 6.27 x 10
^{1}s^{-2} - -d) 7.6 x 10
^{1}s^{-2} - -e) 9.21 x 10
^{1}s^{-2}

3) 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

4) 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

5) 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

6) 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}

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 0.95 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}

- -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}= 1.9 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

_{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: C1[edit]

1) 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}= 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) 3.23E4 Pa
- -b) 3.92E4 Pa
- -c) 4.75E4 Pa
- -d) 5.75E4 Pa
- -e) 6.97E4 Pa

4) 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

^{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}

_{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

7) What is the root-mean-square of -20, 40, and -32?

- -a) 2.522 x 10
^{1} - -b) 2.83 x 10
^{1} - +c) 3.175 x 10
^{1} - -d) 3.562 x 10
^{1} - -e) 3.997 x 10
^{1}

- -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}

9) 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

10) 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

#### Key: C2[edit]

1) A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P_{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

2) 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 fluid on the bottom of the cylinder?

- -a) 8.26E3 Pa
- -b) 1.04E4 Pa
- +c) 1.31E4 Pa
- -d) 1.65E4 Pa
- -e) 2.07E4 Pa

3) 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

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

^{2}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 3.44 x 10
^{0}s^{-2} - -b) 4.17 x 10
^{0}s^{-2} - -c) 5.05 x 10
^{0}s^{-2} - +d) 6.12 x 10
^{0}s^{-2} - -e) 7.41 x 10
^{0}s^{-2}

6) 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

7) 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}= 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) 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) 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}

### Key: D0[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 moment of inertia?

- +a) 2.82 x 10
^{-1}kg m^{2}/s^{2} - -b) 3.41 x 10
^{-1}kg m^{2}/s^{2} - -c) 4.14 x 10
^{-1}kg m^{2}/s^{2} - -d) 5.01 x 10
^{-1}kg m^{2}/s^{2} - -e) 6.07 x 10
^{-1}kg m^{2}/s^{2}

^{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) 3.40E4 Pa
- +b) 4.12E4 Pa
- -c) 4.99E4 Pa
- -d) 6.04E4 Pa
- -e) 7.32E4 Pa

- +a) 2.35E4 Pa
- -b) 2.95E4 Pa
- -c) 3.72E4 Pa
- -d) 4.68E4 Pa
- -e) 5.90E4 Pa

5) 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

- -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

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 0.95 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

- +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}= 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

_{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

#### Key: D1[edit]

1) 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

2) 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

_{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

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 0.66 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}

^{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}

6) 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 pressure difference (in Pascals) between the two regions of the pipe?

- +a) 4.64E3
- -b) 5.62E3
- -c) 6.81E3
- -d) 8.25E3
- -e) 9.99E3

7) 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

_{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

9) 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 moment of inertia?

- +a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - -b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - -c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - -d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - -e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

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. 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

#### Key: D2[edit]

1) 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

2) 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

3) 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

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 0.68 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}

_{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

6) 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

^{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}

8) 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 moment of inertia?

- +a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - -b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - -c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - -d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - -e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

_{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

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 0.68 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

### Key: E0[edit]

1) 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

^{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) 8.07E3 N
- +b) 9.78E3 N
- -c) 1.18E4 N
- -d) 1.44E4 N
- -e) 1.74E4 N

4) 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

- -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

6) 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}

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 0.99 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

- -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}= 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

_{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: E1[edit]

1) A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P_{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

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 0.82 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

3) 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

4) 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

^{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}

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

_{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

8) 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}

9) 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

10) 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

#### Key: E2[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 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

3) 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) 1.11E4 N
- -b) 1.40E4 N
- -c) 1.76E4 N
- -d) 2.22E4 N
- -e) 2.79E4 N

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 0.61 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

^{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}

7) 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

8) 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}

_{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

_{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: F0[edit]

1) 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

2) 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

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

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 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

5) 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 pressure difference (in Pascals) between the two regions of the pipe?

- +a) 4.64E3
- -b) 5.62E3
- -c) 6.81E3
- -d) 8.25E3
- -e) 9.99E3

- -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

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 0.68 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) 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}= 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}= 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

#### Key: F1[edit]

1) 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

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. 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}

3) 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

4) 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

_{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

6) 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

_{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

8) 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

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 0.68 kg is filled with 0.17 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) 2.61 x 10
^{0}km - -b) 3.16 x 10
^{0}km - -c) 3.83 x 10
^{0}km - -d) 4.64 x 10
^{0}km - +e) 5.62 x 10
^{0}km

10) 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

#### Key: F2[edit]

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

- -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

3) 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

_{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 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

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 0.68 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}

7) 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

8) 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}= 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

10) 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

### Key: G0[edit]

- -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

2) 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}

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

4) 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

5) 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

6) 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

- -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}

- -a) 2.61 x 10
^{0}km - -b) 3.16 x 10
^{0}km - -c) 3.83 x 10
^{0}km - -d) 4.64 x 10
^{0}km - +e) 5.62 x 10
^{0}km

_{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

_{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

#### Key: G1[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 force exerted by the water at the top surface?

- -a) 6.89E3 N
- -b) 8.67E3 N
- -c) 1.09E4 N
- +d) 1.37E4 N
- -e) 1.73E4 N

- -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

3) 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

_{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}= 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

6) If a molecule with atomic mass equal to 2 amu has a speed of 305 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 29 ?

- +a) 8.01 x 10
^{1}m/s - -b) 9.7 x 10
^{1}m/s - -c) 1.18 x 10
^{2}m/s - -d) 1.42 x 10
^{2}m/s - -e) 1.73 x 10
^{2}m/s

7) 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}

8) 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

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) {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}

#### Key: G2[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. 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) 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

3) 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}

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

_{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

_{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

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 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

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 0.68 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}

10) 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

### Key: H0[edit]

- +a) 2.82 x 10
^{-1}kg m^{2}/s^{2} - -b) 3.41 x 10
^{-1}kg m^{2}/s^{2} - -c) 4.14 x 10
^{-1}kg m^{2}/s^{2} - -d) 5.01 x 10
^{-1}kg m^{2}/s^{2} - -e) 6.07 x 10
^{-1}kg m^{2}/s^{2}

^{2}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 3.44 x 10
^{0}s^{-2} - -b) 4.17 x 10
^{0}s^{-2} - -c) 5.05 x 10
^{0}s^{-2} - +d) 6.12 x 10
^{0}s^{-2} - -e) 7.41 x 10
^{0}s^{-2}

3) 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

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

- -a) 1.35E2 mm
- -b) 1.63E2 mm
- -c) 1.98E2 mm
- +d) 2.40E2 mm
- -e) 2.90E2 mm

6) What is the rms speed of a molecule with an atomic mass of 17 if the temperature is 31 degrees Fahrenheit?

- +a) 6.32 x 10
^{2}m/s - -b) 7.66 x 10
^{2}m/s - -c) 9.28 x 10
^{2}m/s - -d) 1.12 x 10
^{3}m/s - -e) 1.36 x 10
^{3}m/s

- -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) 2.61 x 10
^{0}km - -b) 3.16 x 10
^{0}km - -c) 3.83 x 10
^{0}km - -d) 4.64 x 10
^{0}km - +e) 5.62 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

_{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

#### Key: H1[edit]

1) A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P_{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 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}

3) 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

^{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}

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

6) 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

_{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) What is the rms speed of a molecule with an atomic mass of 14 if the temperature is 10 degrees Fahrenheit?

- -a) 3.16 x 10
^{2}m/s - -b) 3.83 x 10
^{2}m/s - -c) 4.65 x 10
^{2}m/s - -d) 5.63 x 10
^{2}m/s - +e) 6.82 x 10
^{2}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 0.99 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}

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 0.82 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

#### Key: H2[edit]

1) 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}

2) 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}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 3.44 x 10
^{0}s^{-2} - -b) 4.17 x 10
^{0}s^{-2} - -c) 5.05 x 10
^{0}s^{-2} - +d) 6.12 x 10
^{0}s^{-2} - -e) 7.41 x 10
^{0}s^{-2}

4) 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 force exerted by the water at the top surface?

- -a) 6.89E3 N
- -b) 8.67E3 N
- -c) 1.09E4 N
- +d) 1.37E4 N
- -e) 1.73E4 N

_{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

_{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

7) 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

- -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

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 0.95 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}

10) 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

### Key: I0[edit]

- -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

^{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}

3) 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 buoyant force?

- -a) 6.97E3 N
- -b) 8.44E3 N
- +c) 1.02E4 N
- -d) 1.24E4 N
- -e) 1.50E4 N

- -a) 1.14E4 Pa
- -b) 1.44E4 Pa
- +c) 1.81E4 Pa
- -d) 2.28E4 Pa
- -e) 2.87E4 Pa

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 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

6) 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

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 0.95 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) 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}= 1.9 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

_{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: I1[edit]

1) 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

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

_{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

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 0.99 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

5) 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

6) 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

_{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

^{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}

9) 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

10) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

- +a) 9.52 x 10
^{0}m - -b) 1.15 x 10
^{1}m - -c) 1.4 x 10
^{1}m - -d) 1.69 x 10
^{1}m - -e) 2.05 x 10
^{1}m

#### Key: I2[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 0.61 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

_{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

3) 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

4) 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

_{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

^{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}

7) 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

8) 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

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

10) 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

### Key: J0[edit]

- +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) 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

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

4) 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

- -a) 6.30E1 mm
- -b) 7.63E1 mm
- -c) 9.24E1 mm
- +d) 1.12E2 mm
- -e) 1.36E2 mm

6) 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

- -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}

- -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}= 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}= 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: J1[edit]

1) 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}

2) 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

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}= 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

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 0.95 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}

6) 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

7) 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

8) 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 fluid on the bottom of the cylinder?

- -a) 8.26E3 Pa
- -b) 1.04E4 Pa
- +c) 1.31E4 Pa
- -d) 1.65E4 Pa
- -e) 2.07E4 Pa

_{1}= 2 kPa, P

_{2}= 4.1 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.3m

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

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

- -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

#### Key: J2[edit]

1) 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

2) 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

3) 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

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 0.95 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}

- -a) 1.35E2 mm
- -b) 1.63E2 mm
- -c) 1.98E2 mm
- +d) 2.40E2 mm
- -e) 2.90E2 mm

_{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

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

_{1}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

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

- -a) 1.44 x 10
^{2}J - -b) 4.56 x 10
^{2}J - -c) 1.44 x 10
^{3}J - +d) 4.56 x 10
^{3}J - -e) 1.44 x 10
^{4}J

9) 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}

10) 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

### Key: K0[edit]

- -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

^{2}. Two identical disks, each with mass 9.7 kg are attached. The larger disk has a diameter of 0.83 m, and the smaller disk has a diameter of 0.41 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

- -a) 3.44 x 10
^{0}s^{-2} - -b) 4.17 x 10
^{0}s^{-2} - -c) 5.05 x 10
^{0}s^{-2} - +d) 6.12 x 10
^{0}s^{-2} - -e) 7.41 x 10
^{0}s^{-2}

3) 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

4) 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 fluid on the bottom of the cylinder?

- -a) 8.17E3 Pa
- -b) 1.03E4 Pa
- +c) 1.29E4 Pa
- -d) 1.63E4 Pa
- -e) 2.05E4 Pa

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

6) 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

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 0.61 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

- -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}= 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

_{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: K1[edit]

- -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

_{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

^{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}

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 0.61 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

- +a) 4.64E3
- -b) 5.62E3
- -c) 6.81E3
- -d) 8.25E3
- -e) 9.99E3

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 0.95 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}

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 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 force exerted by the fluid on the bottom of the cylinder?

- -a) 1.68E4 Pa
- -b) 2.12E4 Pa
- +c) 2.67E4 Pa
- -d) 3.36E4 Pa
- -e) 4.23E4 Pa

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 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

_{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: K2[edit]

1) A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P_{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

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 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

3) 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

4) 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 fluid on the bottom of the cylinder?

- -a) 8.26E3 Pa
- -b) 1.04E4 Pa
- +c) 1.31E4 Pa
- -d) 1.65E4 Pa
- -e) 2.07E4 Pa

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 0.82 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

6) 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

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 0.82 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}= 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

^{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}

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

### Key: L0[edit]

- -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

- +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}

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

- +a) 1.19E4 N
- -b) 1.50E4 N
- -c) 1.89E4 N
- -d) 2.38E4 N
- -e) 2.99E4 N

5) 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

6) 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}

- -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

8) 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}= 1.1 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

_{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: L1[edit]

1) 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

_{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

3) 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}

4) 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

5) 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

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 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

_{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

9) 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

- -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

#### Key: L2[edit]

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

2) What is the root-mean-square of 44, 4, and 36?

- -a) 2.614 x 10
^{1} - -b) 2.933 x 10
^{1} - +c) 3.29 x 10
^{1} - -d) 3.692 x 10
^{1} - -e) 4.142 x 10
^{1}

_{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 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

5) 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). If two fluid elements at the center of the pipe are separated by 16.0 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) 9.25E1 mm
- -b) 1.12E2 mm
- +c) 1.36E2 mm
- -d) 1.64E2 mm
- -e) 1.99E2 mm

6) 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 force exerted by the water at the top surface?

- -a) 1.07E4 N
- -b) 1.34E4 N
- +c) 1.69E4 N
- -d) 2.13E4 N
- -e) 2.68E4 N

7) 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

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 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}

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 0.99 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}= 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

### Key: M0[edit]

1) 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

^{2}. Two identical disks, each with mass 4.7 kg are attached. The larger disk has a diameter of 0.81 m, and the smaller disk has a diameter of 0.44 m. If a force of 97 N is applied at the rim of the smaller disk, what is the angular acceleration?

- +a) 4.27 x 10
^{1}s^{-2} - -b) 5.18 x 10
^{1}s^{-2} - -c) 6.27 x 10
^{1}s^{-2} - -d) 7.6 x 10
^{1}s^{-2} - -e) 9.21 x 10
^{1}s^{-2}

3) 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 force exerted by the water at the top surface?

- -a) 6.89E3 N
- -b) 8.67E3 N
- -c) 1.09E4 N
- +d) 1.37E4 N
- -e) 1.73E4 N

- +a) 2.35E4 Pa
- -b) 2.95E4 Pa
- -c) 3.72E4 Pa
- -d) 4.68E4 Pa
- -e) 5.90E4 Pa

5) 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

- -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

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 0.82 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

- +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}= 1.5 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

_{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: M1[edit]

1) 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

- -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

3) 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

4) 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}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

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

- -a) 1.44 x 10
^{2}J - -b) 4.56 x 10
^{2}J - -c) 1.44 x 10
^{3}J - +d) 4.56 x 10
^{3}J - -e) 1.44 x 10
^{4}J

_{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

^{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 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

9) 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

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

#### Key: M2[edit]

1) 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

^{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}

3) 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

4) 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

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 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

_{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

- -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

- -a) 1.44E4 Pa
- +b) 1.81E4 Pa
- -c) 2.28E4 Pa
- -d) 2.87E4 Pa
- -e) 3.62E4 Pa

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). 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}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

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

- -a) 1.44 x 10
^{2}J - -b) 4.56 x 10
^{2}J - -c) 1.44 x 10
^{3}J - +d) 4.56 x 10
^{3}J - -e) 1.44 x 10
^{4}J

### Key: N0[edit]

1) 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}

^{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}

3) 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 pressure at the top face of the cylinder?

- -a) 2.54E4 Pa
- -b) 3.07E4 Pa
- -c) 3.72E4 Pa
- +d) 4.51E4 Pa
- -e) 5.46E4 Pa

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

5) 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

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}

- +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}

- -a) 2.61 x 10
^{0}km - -b) 3.16 x 10
^{0}km - -c) 3.83 x 10
^{0}km - -d) 4.64 x 10
^{0}km - +e) 5.62 x 10
^{0}km

_{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}= 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

#### Key: N1[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. 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}

2) 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}= 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

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

^{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) 2.48E4 Pa
- -b) 3.00E4 Pa
- -c) 3.64E4 Pa
- +d) 4.41E4 Pa
- -e) 5.34E4 Pa

7) 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

8) 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}

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

_{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: N2[edit]

1) 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

2) 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}

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. 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

_{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

_{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

6) 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

- -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}

- +a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - -b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - -c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - -d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - -e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

^{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) 1.07E4 N
- -b) 1.34E4 N
- +c) 1.69E4 N
- -d) 2.13E4 N
- -e) 2.68E4 N

### Key: O0[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}. 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}

- -a) 8.07E3 N
- +b) 9.78E3 N
- -c) 1.18E4 N
- -d) 1.44E4 N
- -e) 1.74E4 N

4) 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

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

6) 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

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. 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

- -a) 2.61 x 10
^{0}km - -b) 3.16 x 10
^{0}km - -c) 3.83 x 10
^{0}km - -d) 4.64 x 10
^{0}km - +e) 5.62 x 10
^{0}km

_{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

_{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: O1[edit]

1) 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

2) 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

3) 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}. 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}

_{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

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) 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

_{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

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 0.95 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) 1.07E4 N
- -b) 1.34E4 N
- +c) 1.69E4 N
- -d) 2.13E4 N
- -e) 2.68E4 N

#### Key: O2[edit]

- -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

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

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. 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}. 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}

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

7) 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

8) 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

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

_{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

### Key: P0[edit]

- -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

2) 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 moment of inertia?

- +a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - -b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - -c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - -d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - -e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

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

- +a) 1.19E4 N
- -b) 1.50E4 N
- -c) 1.89E4 N
- -d) 2.38E4 N
- -e) 2.99E4 N

- -a) 1.35E2 mm
- -b) 1.63E2 mm
- -c) 1.98E2 mm
- +d) 2.40E2 mm
- -e) 2.90E2 mm

- -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) 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}

- -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}= 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

_{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: P1[edit]

1) A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P_{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

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 0.68 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}

3) 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

_{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

5) 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

6) 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 moment of inertia?

- +a) 2.82 x 10
^{-1}kg m^{2}/s^{2} - -b) 3.41 x 10
^{-1}kg m^{2}/s^{2} - -c) 4.14 x 10
^{-1}kg m^{2}/s^{2} - -d) 5.01 x 10
^{-1}kg m^{2}/s^{2} - -e) 6.07 x 10
^{-1}kg m^{2}/s^{2}

7) 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

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 0.66 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

9) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

- +a) 9.52 x 10
^{0}m - -b) 1.15 x 10
^{1}m - -c) 1.4 x 10
^{1}m - -d) 1.69 x 10
^{1}m - -e) 2.05 x 10
^{1}m

- -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

#### Key: P2[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 0.66 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

2) 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

_{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

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 0.99 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}

5) 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

6) 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}

7) 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

8) 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

9) 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

_{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

### Key: Q0[edit]

- -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

^{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}

- -a) 8.07E3 N
- +b) 9.78E3 N
- -c) 1.18E4 N
- -d) 1.44E4 N
- -e) 1.74E4 N

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

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

- -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) 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

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}

_{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

_{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

#### Key: Q1[edit]

1) 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

2) 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 pressure difference (in Pascals) between the two regions of the pipe?

- +a) 4.64E3
- -b) 5.62E3
- -c) 6.81E3
- -d) 8.25E3
- -e) 9.99E3

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. 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

4) 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

_{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) 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

^{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}

- +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}

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 buoyant force?

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

#### Key: Q2[edit]

- -a) 1.09E4 N
- -b) 1.32E4 N
- +c) 1.60E4 N
- -d) 1.94E4 N
- -e) 2.35E4 N

2) 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 force exerted by the water at the top surface?

- -a) 1.07E4 N
- -b) 1.34E4 N
- +c) 1.69E4 N
- -d) 2.13E4 N
- -e) 2.68E4 N

3) 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

_{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) If a molecule with atomic mass equal to 2 amu has a speed of 305 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 29 ?

- +a) 8.01 x 10
^{1}m/s - -b) 9.7 x 10
^{1}m/s - -c) 1.18 x 10
^{2}m/s - -d) 1.42 x 10
^{2}m/s - -e) 1.73 x 10
^{2}m/s

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. 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}

- -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

^{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}

_{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

10) 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

### Key: R0[edit]

- +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}

^{2}. Two identical disks, each with mass 4.7 kg are attached. The larger disk has a diameter of 0.81 m, and the smaller disk has a diameter of 0.44 m. If a force of 97 N is applied at the rim of the smaller disk, what is the angular acceleration?

- +a) 4.27 x 10
^{1}s^{-2} - -b) 5.18 x 10
^{1}s^{-2} - -c) 6.27 x 10
^{1}s^{-2} - -d) 7.6 x 10
^{1}s^{-2} - -e) 9.21 x 10
^{1}s^{-2}

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

4) 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

5) 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

6) 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}

- -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

- -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

_{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

#### Key: R1[edit]

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

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 0.82 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

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 0.66 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}

4) 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}

5) 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

6) 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}= 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

8) 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}

_{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

^{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}

#### Key: R2[edit]

1) A 1241 heat cycle uses 1.5 moles of an ideal gas. The pressures and volumes are: P_{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

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. 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

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) 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}

5) 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 buoyant force?

- -a) 6.97E3 N
- -b) 8.44E3 N
- +c) 1.02E4 N
- -d) 1.24E4 N
- -e) 1.50E4 N

_{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

- -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}

^{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}

9) 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

10) 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

### Key: S0[edit]

1) 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 moment of inertia?

- +a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - -b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - -c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - -d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - -e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

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

- -a) 1.14E4 Pa
- -b) 1.44E4 Pa
- +c) 1.81E4 Pa
- -d) 2.28E4 Pa
- -e) 2.87E4 Pa

- -a) 9.25E1 mm
- -b) 1.12E2 mm
- +c) 1.36E2 mm
- -d) 1.64E2 mm
- -e) 1.99E2 mm

6) What is the root-mean-square of 9, -17, and -8?

- +a) 1.203 x 10
^{1} - -b) 1.35 x 10
^{1} - -c) 1.514 x 10
^{1} - -d) 1.699 x 10
^{1} - -e) 1.906 x 10
^{1}

- -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) 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}= 1.9 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

_{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: S1[edit]

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

2) 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}

3) 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

_{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

^{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}

_{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

7) 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}

- -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) 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}

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). 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: S2[edit]

1) A 1241 heat cycle uses 2.2 moles of an ideal gas. The pressures and volumes are: P_{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) 9.34E2 mm
- +b) 1.13E3 mm
- -c) 1.37E3 mm
- -d) 1.66E3 mm
- -e) 2.01E3 mm

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

- +a) 2.35E4 Pa
- -b) 2.95E4 Pa
- -c) 3.72E4 Pa
- -d) 4.68E4 Pa
- -e) 5.90E4 Pa

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) 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}. 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}= 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

9) 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}

10) What is the root-mean-square of 44, 4, and 36?

- -a) 2.614 x 10
^{1} - -b) 2.933 x 10
^{1} - +c) 3.29 x 10
^{1} - -d) 3.692 x 10
^{1} - -e) 4.142 x 10
^{1}

### Key: T0[edit]

1) 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

^{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}

3) 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) 1.11E4 N
- -b) 1.40E4 N
- -c) 1.76E4 N
- -d) 2.22E4 N
- -e) 2.79E4 N

5) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-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) 1.08E1 m/s
- +b) 1.31E1 m/s
- -c) 1.59E1 m/s
- -d) 1.93E1 m/s
- -e) 2.34E1 m/s

- +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

- -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

- -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}= 2.5 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

_{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: T1[edit]

1) A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P_{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

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 0.99 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

^{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}

4) 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

5) 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

6) 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

_{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) 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

9) 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

10) 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

#### Key: T2[edit]

1) The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR^{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}

2) 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}= 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

- -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}= 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

- +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

7) 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

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 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

9) 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

10) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-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) 1.08E1 m/s
- +b) 1.31E1 m/s
- -c) 1.59E1 m/s
- -d) 1.93E1 m/s
- -e) 2.34E1 m/s

### Key: U0[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) 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

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

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

- -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

- -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) 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

- -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}= 1.7 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

_{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: U1[edit]

- -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

- -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

- -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

_{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

5) 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

- +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

7) 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}

- -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}= 2.6 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

- -a) 1.07E4 N
- -b) 1.34E4 N
- +c) 1.69E4 N
- -d) 2.13E4 N
- -e) 2.68E4 N

#### Key: U2[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 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) 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

_{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) {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. 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) 2.61 x 10
^{0}km - -b) 3.16 x 10
^{0}km - -c) 3.83 x 10
^{0}km - -d) 4.64 x 10
^{0}km - +e) 5.62 x 10
^{0}km

_{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

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 buoyant force?

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

7) 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

8) 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

9) 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}

10) 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

### Key: V0[edit]

- -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

^{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}

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

- -a) 8.17E3 Pa
- -b) 1.03E4 Pa
- +c) 1.29E4 Pa
- -d) 1.63E4 Pa
- -e) 2.05E4 Pa

5) 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

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}

- -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

- +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}= 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}= 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

#### Key: V1[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 buoyant force?

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

2) 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}

3) 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

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 0.95 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

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 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

^{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}

- -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}

_{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

_{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: V2[edit]

- -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

2) 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

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}

- -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) 1.44E4 Pa
- +b) 1.81E4 Pa
- -c) 2.28E4 Pa
- -d) 2.87E4 Pa
- -e) 3.62E4 Pa

6) What is the root-mean-square of 9, -17, and -8?

- +a) 1.203 x 10
^{1} - -b) 1.35 x 10
^{1} - -c) 1.514 x 10
^{1} - -d) 1.699 x 10
^{1} - -e) 1.906 x 10
^{1}

_{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

- +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}= 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

^{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}

### Key: W0[edit]

- -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

2) 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) 2.26E4 Pa
- -b) 2.74E4 Pa
- -c) 3.32E4 Pa
- +d) 4.02E4 Pa
- -e) 4.87E4 Pa

4) 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 buoyant force?

- -a) 4.94E3 N
- -b) 5.98E3 N
- +c) 7.25E3 N
- -d) 8.78E3 N
- -e) 1.06E4 N

5) 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 pressure difference (in Pascals) between the two regions of the pipe?

- +a) 1.60E5
- -b) 1.94E5
- -c) 2.35E5
- -d) 2.85E5
- -e) 3.46E5

- -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) 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

- -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}= 1.1 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

_{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

#### Key: W1[edit]

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

2) 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

_{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

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 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) 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) 1.5 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}= 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

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 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

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 0.99 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

10) 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 pressure at the top face of the cylinder?

- -a) 2.54E4 Pa
- -b) 3.07E4 Pa
- -c) 3.72E4 Pa
- +d) 4.51E4 Pa
- -e) 5.46E4 Pa

#### Key: W2[edit]

1) 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

2) 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

3) 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

4) 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

_{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

6) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

- +a) 9.52 x 10
^{0}m - -b) 1.15 x 10
^{1}m - -c) 1.4 x 10
^{1}m - -d) 1.69 x 10
^{1}m - -e) 2.05 x 10
^{1}m

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 0.82 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) 1.24E5
- -b) 1.50E5
- -c) 1.82E5
- -d) 2.20E5
- -e) 2.66E5

_{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 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}

### Key: X0[edit]

- +a) 4.32 x 10
^{-1}kg m^{2}/s^{2} - -b) 5.23 x 10
^{-1}kg m^{2}/s^{2} - -c) 6.34 x 10
^{-1}kg m^{2}/s^{2} - -d) 7.68 x 10
^{-1}kg m^{2}/s^{2} - -e) 9.31 x 10
^{-1}kg m^{2}/s^{2}

2) 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 total kinetic energy if the wheel is rotating about a stationary axis?

- -a) 3.79 x 10
^{1}J - +b) 4.6 x 10
^{1}J - -c) 5.57 x 10
^{1}J - -d) 6.75 x 10
^{1}J - -e) 8.17 x 10
^{1}J

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

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

- -a) 1.35E2 mm
- -b) 1.63E2 mm
- -c) 1.98E2 mm
- +d) 2.40E2 mm
- -e) 2.90E2 mm

- +a) 6.32 x 10
^{2}m/s - -b) 7.66 x 10
^{2}m/s - -c) 9.28 x 10
^{2}m/s - -d) 1.12 x 10
^{3}m/s - -e) 1.36 x 10
^{3}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 0.99 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}

- -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

_{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

_{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

#### Key: X1[edit]

- -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}

2) 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

3) 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}

4) 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

_{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

6) 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

7) 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

_{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