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

## Contents

### pc1:T3:V1

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 100 J
b) 7.99 x 100 J
c) 9.68 x 100 J
d) 1.17 x 101 J
e) 1.42 x 101 J

3) Integrate the line integral of, ${\displaystyle {\vec {F}}=5.6xy{\hat {x}}+7.9y^{3}{\hat {y}}}$, 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
4) What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 2.5m?,
a) 2.06 m
b) 2.16 m
c) 2.27 m
d) 2.38 m
e) 2.50 m

5) Integrate the function, ${\displaystyle {\vec {F}}=r^{7}\theta ^{4}{\hat {r}}+r^{5}\theta ^{6}{\hat {\theta }}}$ , 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 101 m
b) 1.62 x 101 m
c) 1.96 x 101 m
d) 2.37 x 101 m
e) 2.88 x 101 m
7) The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
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
9)
A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.4kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
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
10) The mass of the cart is 3.0kg, and the spring constant is 8959N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?
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
11)
A massless bar of length, S = 7.3m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 27.3 degrees above the horizontal. An object of mass, M = 9.1kg is suspended at a length, L =5.3m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
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
12)
In the figure shown, L1 = 6.9m, L2 = 4.4m and L3 = 8.2m. What is F2 if F1 =0.96N and F3 =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

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 100 J
+b) 7.99 x 100 J
-c) 9.68 x 100 J
-d) 1.17 x 101 J
-e) 1.42 x 101 J

3) Integrate the line integral of, ${\displaystyle {\vec {F}}=5.6xy{\hat {x}}+7.9y^{3}{\hat {y}}}$, 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
4) What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 2.5m?,
- a) 2.06 m
- b) 2.16 m
- c) 2.27 m
- d) 2.38 m
+ e) 2.50 m

5) Integrate the function, ${\displaystyle {\vec {F}}=r^{7}\theta ^{4}{\hat {r}}+r^{5}\theta ^{6}{\hat {\theta }}}$ , 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 101 m
+b) 1.62 x 101 m
-c) 1.96 x 101 m
-d) 2.37 x 101 m
-e) 2.88 x 101 m
7) The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
+ 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
9)
A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.4kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
+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
10) The mass of the cart is 3.0kg, and the spring constant is 8959N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?
- 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
11)
A massless bar of length, S = 7.3m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 27.3 degrees above the horizontal. An object of mass, M = 9.1kg is suspended at a length, L =5.3m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
+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
12)
In the figure shown, L1 = 6.9m, L2 = 4.4m and L3 = 8.2m. What is F2 if F1 =0.96N and F3 =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

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 100 J
b) 6.25 x 100 J
c) 7.58 x 100 J
d) 9.18 x 100 J
e) 1.11 x 101 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 100 m
b) 6.49 x 100 m
c) 7.86 x 100 m
d) 9.52 x 100 m
e) 1.15 x 101 m
5)
A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
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.
7) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
a) 1.79 m
b) 1.92 m
c) 2.05 m
d) 2.20 m
e) 2.35 m
8) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 2.3m?,
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, ${\displaystyle {\vec {F}}=9.9xy{\hat {x}}+6.1y^{3}{\hat {y}}}$, 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
12)
A massless bar of length, S = 9.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.9 degrees above the horizontal. An object of mass, M = 5.7kg is suspended at a length, L =6.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
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
13) The mass of the cart is 4.0kg, and the spring constant is 6023N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?
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
14)
In the figure shown, L1 = 6m, L2 = 4.5m and L3 = 8.6m. What is F2 if F1 =0.82N and F3 =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, ${\displaystyle {\vec {F}}=r^{5}\theta ^{4}{\hat {r}}+r^{5}\theta ^{8}{\hat {\theta }}}$ , 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

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 100 J
-b) 6.25 x 100 J
-c) 7.58 x 100 J
-d) 9.18 x 100 J
+e) 1.11 x 101 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 100 m
-b) 6.49 x 100 m
+c) 7.86 x 100 m
-d) 9.52 x 100 m
-e) 1.15 x 101 m
5)
A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
+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.
7) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
- a) 1.79 m
- b) 1.92 m
+ c) 2.05 m
- d) 2.20 m
- e) 2.35 m
8) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 2.3m?,
- 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, ${\displaystyle {\vec {F}}=9.9xy{\hat {x}}+6.1y^{3}{\hat {y}}}$, 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
12)
A massless bar of length, S = 9.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.9 degrees above the horizontal. An object of mass, M = 5.7kg is suspended at a length, L =6.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
-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
13) The mass of the cart is 4.0kg, and the spring constant is 6023N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?
+ 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
14)
In the figure shown, L1 = 6m, L2 = 4.5m and L3 = 8.6m. What is F2 if F1 =0.82N and F3 =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, ${\displaystyle {\vec {F}}=r^{5}\theta ^{4}{\hat {r}}+r^{5}\theta ^{8}{\hat {\theta }}}$ , 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