# User:Guy vandegrift/Quizbank/Archive1/Sample calc2 T3

### pc1:T3:V1[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?

- 1.48E4 N
- 1.87E4 N
- 2.35E4 N
- 2.96E4 N
- 3.73E4 N

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 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

3) Integrate the line integral of, , along the y axis from y = 5 to y = 15

- a) 9.88E+04
- b) 1.06E+05
- c) 1.13E+05
- d) 1.21E+05
- e) 1.29E+05

- a) 2.06 m
- b) 2.16 m
- c) 2.27 m
- d) 2.38 m
- e) 2.50 m

5) Integrate the function, , along the first quadrant of a circle of radius 7

- a) 3.03E+05
- b) 3.24E+05
- c) 3.46E+05
- d) 3.71E+05
- e) 3.97E+05

6) 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

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

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

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

- a) 7.06E+01 N
- b) 8.56E+01 N
- c) 1.04E+02 N
- d) 1.26E+02 N
- e) 1.52E+02 N

- a) 2.21E+03 m
- b) 2.32E+03 m
- c) 2.44E+03 m
- d) 2.56E+03 m
- e) 2.69E+03 m

- a) 2.44E+01 N
- b) 2.96E+01 N
- c) 3.59E+01 N
- d) 4.34E+01 N
- e) 5.26E+01 N

_{1}= 6.9m, L

_{2}= 4.4m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.96N and F

_{3}=0.1N?

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

13) 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?

- 2.59E4 Pa
- 3.14E4 Pa
- 3.80E4 Pa
- 4.61E4 Pa
- 5.58E4 Pa

14) A car of mass 571 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- a) 1334 kg
- b) 1601 kg
- c) 1921 kg
- d) 2305 kg
- e) 2766 kg

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

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

#### KEY:pc1:T3:V1[edit]

pc120161220T142002

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?

- - 1.48E4 N
- + 1.87E4 N
- - 2.35E4 N
- - 2.96E4 N
- - 3.73E4 N

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 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

3) Integrate the line integral of, , along the y axis from y = 5 to y = 15

- + a) 9.88E+04
- - b) 1.06E+05
- - c) 1.13E+05
- - d) 1.21E+05
- - e) 1.29E+05

- - a) 2.06 m
- - b) 2.16 m
- - c) 2.27 m
- - d) 2.38 m
- + e) 2.50 m

5) Integrate the function, , along the first quadrant of a circle of radius 7

- - a) 3.03E+05
- - b) 3.24E+05
- - c) 3.46E+05
- - d) 3.71E+05
- + e) 3.97E+05

6) 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

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

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

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

- +a) 7.06E+01 N
- -b) 8.56E+01 N
- -c) 1.04E+02 N
- -d) 1.26E+02 N
- -e) 1.52E+02 N

- - a) 2.21E+03 m
- - b) 2.32E+03 m
- + c) 2.44E+03 m
- - d) 2.56E+03 m
- - e) 2.69E+03 m

- +a) 2.44E+01 N
- -b) 2.96E+01 N
- -c) 3.59E+01 N
- -d) 4.34E+01 N
- -e) 5.26E+01 N

_{1}= 6.9m, L

_{2}= 4.4m and L

_{3}= 8.2m. What is F

_{2}if F

_{1}=0.96N and F

_{3}=0.1N?

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

13) 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?

- - 2.59E4 Pa
- - 3.14E4 Pa
- - 3.80E4 Pa
- + 4.61E4 Pa
- - 5.58E4 Pa

14) A car of mass 571 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

- -a) 1334 kg
- -b) 1601 kg
- +c) 1921 kg
- -d) 2305 kg
- -e) 2766 kg

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

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

### pc1:T3:V2[edit]

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

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

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 what is the force exerted by the water at the top surface?

- 6.10E3 N
- 7.68E3 N
- 9.67E3 N
- 1.22E4 N
- 1.53E4 N

3) 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

4) 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

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

6) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

- a) 2m/s.
- b) 2.4m/s.
- c) 2.88m/s.
- d) 3.45m/s.
- e) 4.14m/s.

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

- a) 1.99 m
- b) 2.09 m
- c) 2.19 m
- d) 2.30 m
- e) 2.42 m

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

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

10) Integrate the line integral of, , along the y axis from y = 7 to y = 16

- a) 7.86E+04
- b) 8.41E+04
- c) 9.00E+04
- d) 9.63E+04
- e) 1.03E+05

11) 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?

- 2.83E4 Pa
- 3.43E4 Pa
- 4.16E4 Pa
- 5.03E4 Pa
- 6.10E4 Pa

- a) 1.47E+01 N
- b) 1.78E+01 N
- c) 2.16E+01 N
- d) 2.62E+01 N
- e) 3.17E+01 N

- a) 1.92E+03 m
- b) 2.02E+03 m
- c) 2.12E+03 m
- d) 2.22E+03 m
- e) 2.33E+03 m

_{1}= 6m, L

_{2}= 4.5m and L

_{3}= 8.6m. What is F

_{2}if F

_{1}=0.82N and F

_{3}=0.1N?

- a) 6.15E-01 N
- b) 7.45E-01 N
- c) 9.02E-01 N
- d) 1.09E+00 N
- e) 1.32E+00 N

15) Integrate the function, , along the first quadrant of a circle of radius 5

- a) 8.25E+04
- b) 8.83E+04
- c) 9.45E+04
- d) 1.01E+05
- e) 1.08E+05

#### KEY:pc1:T3:V2[edit]

pc120161220T142002

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

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

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 what is the force exerted by the water at the top surface?

- - 6.10E3 N
- - 7.68E3 N
- - 9.67E3 N
- + 1.22E4 N
- - 1.53E4 N

3) 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

4) 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

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

6) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

- -a) 2m/s.
- -b) 2.4m/s.
- +c) 2.88m/s.
- -d) 3.45m/s.
- -e) 4.14m/s.

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

- - a) 1.99 m
- - b) 2.09 m
- - c) 2.19 m
- + d) 2.30 m
- - e) 2.42 m

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

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

10) Integrate the line integral of, , along the y axis from y = 7 to y = 16

- - a) 7.86E+04
- - b) 8.41E+04
- - c) 9.00E+04
- + d) 9.63E+04
- - e) 1.03E+05

11) 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?

- - 2.83E4 Pa
- + 3.43E4 Pa
- - 4.16E4 Pa
- - 5.03E4 Pa
- - 6.10E4 Pa

- -a) 1.47E+01 N
- +b) 1.78E+01 N
- -c) 2.16E+01 N
- -d) 2.62E+01 N
- -e) 3.17E+01 N

- + a) 1.92E+03 m
- - b) 2.02E+03 m
- - c) 2.12E+03 m
- - d) 2.22E+03 m
- - e) 2.33E+03 m

_{1}= 6m, L

_{2}= 4.5m and L

_{3}= 8.6m. What is F

_{2}if F

_{1}=0.82N and F

_{3}=0.1N?

- -a) 6.15E-01 N
- -b) 7.45E-01 N
- +c) 9.02E-01 N
- -d) 1.09E+00 N
- -e) 1.32E+00 N

15) Integrate the function, , along the first quadrant of a circle of radius 5

- - a) 8.25E+04
- - b) 8.83E+04
- - c) 9.45E+04
- + d) 1.01E+05
- - e) 1.08E+05