# User:Guy vandegrift/Quizbank/Archive1/College Physics/I T4study

## TrigPhys_I_T4_Study

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### TrigPhys_I_T4_Study-v1s1

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 100 m
___b) 1.19 x 101 m
___c) 1.45 x 101 m
___d) 1.75 x 101 m
___e) 2.12 x 101 m

2. 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 m2/s2
___b) 3.41 x 10-1 kg m2/s2
___c) 4.14 x 10-1 kg m2/s2
___d) 5.01 x 10-1 kg m2/s2
___e) 6.07 x 10-1 kg m2/s2

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 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

4.
The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. 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 100 s-2
___b) 1.11 x 101 s-2
___c) 1.34 x 101 s-2
___d) 1.62 x 101 s-2
___e) 1.97 x 101 s-2

5. 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?

___ 3.07E4 Pa
___ 3.72E4 Pa
___ 4.51E4 Pa
___ 5.46E4 Pa
___ 6.62E4 Pa

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?

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

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 force exerted by the water at the top surface?

___ 1.19E4 N
___ 1.50E4 N
___ 1.89E4 N
___ 2.38E4 N
___ 2.99E4 N

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 fluid on the bottom of the cylinder?

___ 8.11E3 Pa
___ 1.02E4 Pa
___ 1.28E4 Pa
___ 1.62E4 Pa
___ 2.04E4 Pa

9. 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

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

11. 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

12. 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

13. 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

14. 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 102 m/s
___b) 3.83 x 102 m/s
___c) 4.65 x 102 m/s
___d) 5.63 x 102 m/s
___e) 6.82 x 102 m/s

15. 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 101 m/s
___b) 9.7 x 101 m/s
___c) 1.18 x 102 m/s
___d) 1.42 x 102 m/s
___e) 1.73 x 102 m/s

16. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 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 104 J
___b) 3.98 x 104 J
___c) 4.69 x 104 J
___d) 5.52 x 104 J
___e) 6.51 x 104 J

17. 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 100

18. 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

19. A window is square, with a length of each side equal to 0.95 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 1.59. You also increase the thickness of the glass by a factor of 2.84. 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) 7.18 x 100 unit
___b) 8.7 x 100 unit
___c) 1.05 x 101 unit
___d) 1.28 x 101 unit
___e) 1.55 x 101 unit

20.
A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P1= 2.8 kPa, P2= 5.6 kPa. The volumes are V1= 2.1m3 and V4= 4.8m3. How much work is done in in one cycle?
___a) 3.78 x 102 J
___b) 1.2 x 103 J
___c) 3.78 x 103 J
___d) 1.2 x 104 J
___e) 3.78 x 104 J

21.
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 3.1 kPa, P2= 4.3 kPa. The volumes are V1= 1.1m3 and V4= 2.8m3. How much work is involved between 1 and 4?
___a) 1.67 x 103 J
___b) 5.27 x 103 J
___c) 1.67 x 104 J
___d) 5.27 x 104 J
___e) 1.67 x 105 J

22.
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 1.4 kPa, P2= 2.8 kPa. The volumes are V1= 2.7m3 and V4= 4.6m3. How much work is involved between 2 and 4?
___a) 3.99 x 101 J
___b) 1.26 x 102 J
___c) 3.99 x 102 J
___d) 1.26 x 103 J
___e) 3.99 x 103 J

23.
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

#### Key to TrigPhys_I_T4_Study-v1s1

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 100 m
+b) 1.19 x 101 m
-c) 1.45 x 101 m
-d) 1.75 x 101 m
-e) 2.12 x 101 m

2. 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 m2/s2
-b) 3.41 x 10-1 kg m2/s2
-c) 4.14 x 10-1 kg m2/s2
-d) 5.01 x 10-1 kg m2/s2
-e) 6.07 x 10-1 kg m2/s2

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 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

4.
The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. 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 100 s-2
-b) 1.11 x 101 s-2
-c) 1.34 x 101 s-2
-d) 1.62 x 101 s-2
+e) 1.97 x 101 s-2

5. 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?

- 3.07E4 Pa
- 3.72E4 Pa
+ 4.51E4 Pa
- 5.46E4 Pa
- 6.62E4 Pa

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?

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

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 force exerted by the water at the top surface?

+ 1.19E4 N
- 1.50E4 N
- 1.89E4 N
- 2.38E4 N
- 2.99E4 N

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 fluid on the bottom of the cylinder?

- 8.11E3 Pa
- 1.02E4 Pa
- 1.28E4 Pa
+ 1.62E4 Pa
- 2.04E4 Pa

9. 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

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

11. 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

12. 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

13. 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

14. 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 102 m/s
-b) 3.83 x 102 m/s
-c) 4.65 x 102 m/s
-d) 5.63 x 102 m/s
+e) 6.82 x 102 m/s

15. 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 101 m/s
-b) 9.7 x 101 m/s
-c) 1.18 x 102 m/s
-d) 1.42 x 102 m/s
-e) 1.73 x 102 m/s

16. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 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 104 J
-b) 3.98 x 104 J
+c) 4.69 x 104 J
-d) 5.52 x 104 J
-e) 6.51 x 104 J

17. 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 100

18. 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

19. A window is square, with a length of each side equal to 0.95 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 1.59. You also increase the thickness of the glass by a factor of 2.84. 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) 7.18 x 100 unit
-b) 8.7 x 100 unit
-c) 1.05 x 101 unit
-d) 1.28 x 101 unit
-e) 1.55 x 101 unit

20.
A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P1= 2.8 kPa, P2= 5.6 kPa. The volumes are V1= 2.1m3 and V4= 4.8m3. How much work is done in in one cycle?
-a) 3.78 x 102 J
-b) 1.2 x 103 J
+c) 3.78 x 103 J
-d) 1.2 x 104 J
-e) 3.78 x 104 J

21.
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 3.1 kPa, P2= 4.3 kPa. The volumes are V1= 1.1m3 and V4= 2.8m3. How much work is involved between 1 and 4?
-a) 1.67 x 103 J
+b) 5.27 x 103 J
-c) 1.67 x 104 J
-d) 5.27 x 104 J
-e) 1.67 x 105 J

22.
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 1.4 kPa, P2= 2.8 kPa. The volumes are V1= 2.7m3 and V4= 4.6m3. How much work is involved between 2 and 4?
-a) 3.99 x 101 J
-b) 1.26 x 102 J
-c) 3.99 x 102 J
-d) 1.26 x 103 J
+e) 3.99 x 103 J

23.
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