# User:Guy vandegrift/Quizbank/Archive1/College Physics/I FE

## TrigPhys_I_FEsample

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### TrigPhys_I_FEsample-v1s1

1.
A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P1= 2.9 kPa, P2= 4.7 kPa. The volumes are V1= 2.7m3 and V4= 5.6m3. What is the temperature at step 4?
___a) 1.03 x 101 K
___b) 3.25 x 101 K
___c) 1.03 x 102 K
___d) 3.25 x 102 K
___e) 1.03 x 103 K

2. A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

___a) 2.85 m.
___b) 3.42 m.
___c) 4.1 m.
___d) 4.92 m.
___e) 5.9 m.

3. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.12
___b) 0.14
___c) 0.17
___d) 0.21
___e) 0.25

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

___a) 1.89 s
___b) 2.18 s
___c) 2.5 s
___d) 2.88 s
___e) 3.31 s

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

___a) 4.65 m/s.
___b) 5.58 m/s.
___c) 6.69 m/s.
___d) 8.03 m/s.
___e) 9.64 m/s.

6. 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

7. 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

8.
In the figure shown, L1 = 6.4m, L2 = 3.4m and L3 = 7.1m. What is F2 if F1 =0.87N and F3 =0.1N?
___a) 1.43E+00 N
___b) 1.73E+00 N
___c) 2.10E+00 N
___d) 2.54E+00 N
___e) 3.08E+00 N

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

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

10. 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 100 unit
___b) 6.11 x 100 unit
___c) 7.41 x 100 unit
___d) 8.97 x 100 unit
___e) 1.09 x 101 unit

11.
In the figure shown, θ is 37 degrees, and the mass is 2.5 kg. What is T1?
___a) 32.5 N.
___b) 39 N.
___c) 46.8 N.
___d) 56.2 N.
___e) 67.4 N.

12. 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 102 m/s
___b) 1.23 x 102 m/s
___c) 1.49 x 102 m/s
___d) 1.8 x 102 m/s
___e) 2.18 x 102 m/s

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

___ 1.09E4 N
___ 1.32E4 N
___ 1.60E4 N
___ 1.94E4 N
___ 2.35E4 N

14. 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 100 m
___b) 1.15 x 101 m
___c) 1.4 x 101 m
___d) 1.69 x 101 m
___e) 2.05 x 101 m

15. A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

___a) 1427 kg
___b) 1712 kg
___c) 2055 kg
___d) 2466 kg
___e) 2959 kg

16. If you toss a coin into the air, the acceleration on the way up is

___ a) down
___ b) up
___ c) zero

#### Key to TrigPhys_I_FEsample-v1s1

1.
A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P1= 2.9 kPa, P2= 4.7 kPa. The volumes are V1= 2.7m3 and V4= 5.6m3. What is the temperature at step 4?
-a) 1.03 x 101 K
-b) 3.25 x 101 K
-c) 1.03 x 102 K
-d) 3.25 x 102 K
+e) 1.03 x 103 K

2. A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

-a) 2.85 m.
-b) 3.42 m.
-c) 4.1 m.
+d) 4.92 m.
-e) 5.9 m.

3. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.12
-b) 0.14
-c) 0.17
-d) 0.21
+e) 0.25

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

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

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

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

6. 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

7. 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

8.
In the figure shown, L1 = 6.4m, L2 = 3.4m and L3 = 7.1m. What is F2 if F1 =0.87N and F3 =0.1N?
+a) 1.43E+00 N
-b) 1.73E+00 N
-c) 2.10E+00 N
-d) 2.54E+00 N
-e) 3.08E+00 N

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

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

10. 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 100 unit
-b) 6.11 x 100 unit
-c) 7.41 x 100 unit
-d) 8.97 x 100 unit
-e) 1.09 x 101 unit

11.
In the figure shown, θ is 37 degrees, and the mass is 2.5 kg. What is T1?
+a) 32.5 N.
-b) 39 N.
-c) 46.8 N.
-d) 56.2 N.
-e) 67.4 N.

12. 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 102 m/s
+b) 1.23 x 102 m/s
-c) 1.49 x 102 m/s
-d) 1.8 x 102 m/s
-e) 2.18 x 102 m/s

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

- 1.09E4 N
- 1.32E4 N
+ 1.60E4 N
- 1.94E4 N
- 2.35E4 N

14. 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 100 m
-b) 1.15 x 101 m
-c) 1.4 x 101 m
-d) 1.69 x 101 m
-e) 2.05 x 101 m

15. A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

-a) 1427 kg
-b) 1712 kg
+c) 2055 kg
-d) 2466 kg
-e) 2959 kg

16. If you toss a coin into the air, the acceleration on the way up is

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

### TrigPhys_I_FEsample-v2s1

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

___a) 4.74 m.
___b) 5.69 m.
___c) 6.83 m.
___d) 8.2 m.
___e) 9.84 m.

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 101 m/s
___b) 8.74 x 101 m/s
___c) 1.06 x 102 m/s
___d) 1.28 x 102 m/s
___e) 1.55 x 102 m/s

3.
A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P1= 2.9 kPa, P2= 4.7 kPa. The volumes are V1= 2.7m3 and V4= 5.6m3. What is the temperature at step 4?
___a) 1.03 x 101 K
___b) 3.25 x 101 K
___c) 1.03 x 102 K
___d) 3.25 x 102 K
___e) 1.03 x 103 K

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 100 unit
___b) 2.62 x 100 unit
___c) 3.17 x 100 unit
___d) 3.84 x 100 unit
___e) 4.65 x 100 unit

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

___a) 8.13 m/s.
___b) 9.76 m/s.
___c) 11.71 m/s.
___d) 14.06 m/s.
___e) 16.87 m/s.

6. If you toss a coin into the air, the acceleration on the way up is

___ a) down
___ b) zero
___ c) up

7. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

8.
In the figure shown, θ is 36 degrees, and the mass is 3.1 kg. What is T1?
___a) 34.8 N.
___b) 41.8 N.
___c) 50.2 N.
___d) 60.2 N.
___e) 72.3 N.

9.
In the figure shown, L1 = 6.3m, L2 = 3.8m and L3 = 8.6m. What is F2 if F1 =0.91N and F3 =0.1N?
___a) 5.95E-01 N
___b) 7.21E-01 N
___c) 8.74E-01 N
___d) 1.06E+00 N
___e) 1.28E+00 N

10. 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 100 m
___b) 7.7 x 100 m
___c) 9.33 x 100 m
___d) 1.13 x 101 m
___e) 1.37 x 101 m

11. A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

___a) 5.01E-1 m/s
___b) 6.08E-1 m/s
___c) 7.36E-1 m/s
___d) 8.92E-1 m/s
___e) 1.08E0 m/s

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

___a) 2.6 s
___b) 2.99 s
___c) 3.43 s
___d) 3.95 s
___e) 4.54 s

13. 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?

___ 9.72E3 N
___ 1.18E4 N
___ 1.43E4 N
___ 1.73E4 N
___ 2.09E4 N

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

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

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

___a) 1124 kg
___b) 1348 kg
___c) 1618 kg
___d) 1942 kg
___e) 2330 kg

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

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

#### Key to TrigPhys_I_FEsample-v2s1

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

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

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 101 m/s
-b) 8.74 x 101 m/s
-c) 1.06 x 102 m/s
+d) 1.28 x 102 m/s
-e) 1.55 x 102 m/s

3.
A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P1= 2.9 kPa, P2= 4.7 kPa. The volumes are V1= 2.7m3 and V4= 5.6m3. What is the temperature at step 4?
-a) 1.03 x 101 K
-b) 3.25 x 101 K
-c) 1.03 x 102 K
-d) 3.25 x 102 K
+e) 1.03 x 103 K

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 100 unit
-b) 2.62 x 100 unit
-c) 3.17 x 100 unit
+d) 3.84 x 100 unit
-e) 4.65 x 100 unit

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

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

6. If you toss a coin into the air, the acceleration on the way up is

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

7. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

8.
In the figure shown, θ is 36 degrees, and the mass is 3.1 kg. What is T1?
-a) 34.8 N.
+b) 41.8 N.
-c) 50.2 N.
-d) 60.2 N.
-e) 72.3 N.

9.
In the figure shown, L1 = 6.3m, L2 = 3.8m and L3 = 8.6m. What is F2 if F1 =0.91N and F3 =0.1N?
-a) 5.95E-01 N
-b) 7.21E-01 N
-c) 8.74E-01 N
-d) 1.06E+00 N
+e) 1.28E+00 N

10. 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 100 m
-b) 7.7 x 100 m
-c) 9.33 x 100 m
-d) 1.13 x 101 m
-e) 1.37 x 101 m

11. A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

+a) 5.01E-1 m/s
-b) 6.08E-1 m/s
-c) 7.36E-1 m/s
-d) 8.92E-1 m/s
-e) 1.08E0 m/s

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

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

13. 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?

+ 9.72E3 N
- 1.18E4 N
- 1.43E4 N
- 1.73E4 N
- 2.09E4 N

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

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

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

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

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

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

### TrigPhys_I_FEsample-v1s2

1. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

___a) 23.4 N.
___b) 27 N.
___c) 31 N.
___d) 35.7 N.
___e) 41 N.

2. A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s2?

___a) 48.4 degrees
___b) 55.7 degrees
___c) 64 degrees
___d) 73.6 degrees
___e) 84.7 degrees

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

___a) 35.9 s
___b) 43.08 s
___c) 51.69 s
___d) 62.03 s
___e) 74.43 s

4. In the figure "3 tensions" shown above θ1 is 15 degrees, and θ3 is 36 degrees. The tension T3 is 39 N. What is the weight?

___a) 23.7 N.
___b) 27.3 N.
___c) 31.4 N.
___d) 36.1 N.
___e) 41.5 N.

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

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

7.
A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
___a) 44 m/s.
___b) 47 m/s.
___c) 50 m/s.
___d) 54 m/s.
___e) 57 m/s.

8. As the Moon circles Earth, the acceleration of the Moon is

___ a) zero
___ b) opposite the direction of the Moon's velocity
___ c) away from Earth
___ d) towards Earth
___ e) in the same direction as the Moon's velocity

9. 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?

___ 1.95E4 Pa
___ 2.46E4 Pa
___ 3.09E4 Pa
___ 3.89E4 Pa
___ 4.90E4 Pa

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

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

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

___a) 0.48 s.
___b) 0.57 s.
___c) 0.69 s.
___d) 0.83 s.
___e) 0.99 s.

12.
A massless bar of length, S = 9m 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 = 31.7 degrees above the horizontal. An object of mass, M = 9.8kg is suspended at a length, L =5.7m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
___a) 3.52E+01 N
___b) 4.27E+01 N
___c) 5.17E+01 N
___d) 6.26E+01 N
___e) 7.59E+01 N

13. What is the root-mean-square of 28, 21, and 32?

___a) 2.44 x 101
___b) 2.738 x 101
___c) 3.072 x 101
___d) 3.447 x 101
___e) 3.868 x 101

14. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. 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 100 km
___b) 3.83 x 100 km
___c) 4.64 x 100 km
___d) 5.62 x 100 km
___e) 6.81 x 100 km

15. 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 101 J
___b) 1.49 x 101 J
___c) 1.8 x 101 J
___d) 2.18 x 101 J
___e) 2.64 x 101 J

16.
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 4.1 kPa. The volumes are V1= 2.1m3 and V4= 4.3m3. How much work is done in in one cycle?
___a) 7.3 x 102 J
___b) 2.31 x 103 J
___c) 7.3 x 103 J
___d) 2.31 x 104 J
___e) 7.3 x 104 J

#### Key to TrigPhys_I_FEsample-v1s2

1. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

-a) 23.4 N.
-b) 27 N.
-c) 31 N.
-d) 35.7 N.
+e) 41 N.

2. A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s2?

-a) 48.4 degrees
-b) 55.7 degrees
+c) 64 degrees
-d) 73.6 degrees
-e) 84.7 degrees

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

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

4. In the figure "3 tensions" shown above θ1 is 15 degrees, and θ3 is 36 degrees. The tension T3 is 39 N. What is the weight?

-a) 23.7 N.
-b) 27.3 N.
+c) 31.4 N.
-d) 36.1 N.
-e) 41.5 N.

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

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

7.
A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
-a) 44 m/s.
-b) 47 m/s.
+c) 50 m/s.
-d) 54 m/s.
-e) 57 m/s.

8. As the Moon circles Earth, the acceleration of the Moon is

- a) zero
- b) opposite the direction of the Moon's velocity
- c) away from Earth
+ d) towards Earth
- e) in the same direction as the Moon's velocity

9. 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?

- 1.95E4 Pa
+ 2.46E4 Pa
- 3.09E4 Pa
- 3.89E4 Pa
- 4.90E4 Pa

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

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

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

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

12.
A massless bar of length, S = 9m 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 = 31.7 degrees above the horizontal. An object of mass, M = 9.8kg is suspended at a length, L =5.7m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
+a) 3.52E+01 N
-b) 4.27E+01 N
-c) 5.17E+01 N
-d) 6.26E+01 N
-e) 7.59E+01 N

13. What is the root-mean-square of 28, 21, and 32?

-a) 2.44 x 101
+b) 2.738 x 101
-c) 3.072 x 101
-d) 3.447 x 101
-e) 3.868 x 101

14. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. 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 100 km
+b) 3.83 x 100 km
-c) 4.64 x 100 km
-d) 5.62 x 100 km
-e) 6.81 x 100 km

15. 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 101 J
-b) 1.49 x 101 J
-c) 1.8 x 101 J
+d) 2.18 x 101 J
-e) 2.64 x 101 J

16.
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 4.1 kPa. The volumes are V1= 2.1m3 and V4= 4.3m3. How much work is done in in one cycle?
-a) 7.3 x 102 J
+b) 2.31 x 103 J
-c) 7.3 x 103 J
-d) 2.31 x 104 J
-e) 7.3 x 104 J

### TrigPhys_I_FEsample-v2s2

1.
A 159 gm bullet strikes a ballistic pendulum of mass 2.11 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
___a) 39 m/s.
___b) 42 m/s.
___c) 44 m/s.
___d) 48 m/s.
___e) 51 m/s.

2. In the figure "3 tensions" shown above θ1 is 20 degrees, and θ3 is 29 degrees. The tension T3 is 25 N. What is the weight?

___a) 20.1 N.
___b) 23.1 N.
___c) 26.6 N.
___d) 30.5 N.
___e) 35.1 N.

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

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

4.
A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P1= 2.9 kPa, P2= 4 kPa. The volumes are V1= 2m3 and V4= 3.2m3. How much work is done in in one cycle?
___a) 6.6 x 100 J
___b) 2.09 x 101 J
___c) 6.6 x 101 J
___d) 2.09 x 102 J
___e) 6.6 x 102 J

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

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

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?

___ 3.02E4 Pa
___ 3.81E4 Pa
___ 4.79E4 Pa
___ 6.03E4 Pa
___ 7.59E4 Pa

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

___a) 0.23 s.
___b) 0.27 s.
___c) 0.33 s.
___d) 0.4 s.
___e) 0.47 s.

8.
A massless bar of length, S = 7.8m 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 = 31.4 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) 6.83E+00 N
___b) 8.28E+00 N
___c) 1.00E+01 N
___d) 1.21E+01 N
___e) 1.47E+01 N

9. A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

___a) 2.78 x 101 J
___b) 3.37 x 101 J
___c) 4.08 x 101 J
___d) 4.95 x 101 J
___e) 5.99 x 101 J

10. What is the root-mean-square of 11, 36, and 4?

___a) 1.948 x 101
___b) 2.186 x 101
___c) 2.452 x 101
___d) 2.751 x 101
___e) 3.087 x 101

11. A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s2?

___a) 48.4 degrees
___b) 55.7 degrees
___c) 64 degrees
___d) 73.6 degrees
___e) 84.7 degrees

12. 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

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

___a) 52.36 s
___b) 62.83 s
___c) 75.4 s
___d) 90.47 s
___e) 108.57 s

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

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

15. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. 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 100 km
___b) 7.66 x 100 km
___c) 9.29 x 100 km
___d) 1.13 x 101 km
___e) 1.36 x 101 km

16. As the Moon circles Earth, the acceleration of the Moon is

___ a) zero
___ b) in the same direction as the Moon's velocity
___ c) opposite the direction of the Moon's velocity
___ d) away from Earth
___ e) towards Earth

#### Key to TrigPhys_I_FEsample-v2s2

1.
A 159 gm bullet strikes a ballistic pendulum of mass 2.11 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
-a) 39 m/s.
-b) 42 m/s.
-c) 44 m/s.
-d) 48 m/s.
+e) 51 m/s.

2. In the figure "3 tensions" shown above θ1 is 20 degrees, and θ3 is 29 degrees. The tension T3 is 25 N. What is the weight?

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

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

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

4.
A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P1= 2.9 kPa, P2= 4 kPa. The volumes are V1= 2m3 and V4= 3.2m3. How much work is done in in one cycle?
-a) 6.6 x 100 J
-b) 2.09 x 101 J
-c) 6.6 x 101 J
-d) 2.09 x 102 J
+e) 6.6 x 102 J

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

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

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?

+ 3.02E4 Pa
- 3.81E4 Pa
- 4.79E4 Pa
- 6.03E4 Pa
- 7.59E4 Pa

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

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

8.
A massless bar of length, S = 7.8m 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 = 31.4 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) 6.83E+00 N
-b) 8.28E+00 N
+c) 1.00E+01 N
-d) 1.21E+01 N
-e) 1.47E+01 N

9. A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

+a) 2.78 x 101 J
-b) 3.37 x 101 J
-c) 4.08 x 101 J
-d) 4.95 x 101 J
-e) 5.99 x 101 J

10. What is the root-mean-square of 11, 36, and 4?

-a) 1.948 x 101
+b) 2.186 x 101
-c) 2.452 x 101
-d) 2.751 x 101
-e) 3.087 x 101

11. A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s2?

-a) 48.4 degrees
-b) 55.7 degrees
+c) 64 degrees
-d) 73.6 degrees
-e) 84.7 degrees

12. 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

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

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

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

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

15. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. 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 100 km
-b) 7.66 x 100 km
-c) 9.29 x 100 km
-d) 1.13 x 101 km
+e) 1.36 x 101 km

16. As the Moon circles Earth, the acceleration of the Moon is

- a) zero
- b) in the same direction as the Moon's velocity
- c) opposite the direction of the Moon's velocity
- d) away from Earth
+ e) towards Earth