# User:Guy vandegrift/Quizbank/Archive1/College Physics/I T4

## TrigPhys_I_T4sample

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### TrigPhys_I_T4sample-v1s1

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 100 J
___b) 8.95 x 100 J
___c) 1.08 x 101 J
___d) 1.31 x 101 J
___e) 1.59 x 101 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 0.95 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

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

___ 2.35E4 Pa
___ 2.95E4 Pa
___ 3.72E4 Pa
___ 4.68E4 Pa
___ 5.90E4 Pa

4. 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 100 m
___b) 9.27 x 100 m
___c) 1.12 x 101 m
___d) 1.36 x 101 m
___e) 1.65 x 101 m

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. 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 101 m/s
___b) 1.01 x 102 m/s
___c) 1.23 x 102 m/s
___d) 1.49 x 102 m/s
___e) 1.8 x 102 m/s

7.
A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P1= 1.7 kPa, P2= 3.1 kPa. The volumes are V1= 2.8m3 and V4= 4.3m3. How much work is involved between 2 and 4?
___a) 3.6 x 103 J
___b) 1.14 x 104 J
___c) 3.6 x 104 J
___d) 1.14 x 105 J
___e) 3.6 x 105 J

8. 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

9.
A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P1= 2.2 kPa, P2= 3.8 kPa. The volumes are V1= 2.9m3 and V4= 5.4m3. What is the temperature at step 4?
___a) 5.71 x 100 K
___b) 1.81 x 101 K
___c) 5.71 x 101 K
___d) 1.81 x 102 K
___e) 5.71 x 102 K

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 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

#### Key to TrigPhys_I_T4sample-v1s1

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 100 J
-b) 8.95 x 100 J
-c) 1.08 x 101 J
-d) 1.31 x 101 J
+e) 1.59 x 101 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 0.95 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

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

+ 2.35E4 Pa
- 2.95E4 Pa
- 3.72E4 Pa
- 4.68E4 Pa
- 5.90E4 Pa

4. 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 100 m
-b) 9.27 x 100 m
-c) 1.12 x 101 m
+d) 1.36 x 101 m
-e) 1.65 x 101 m

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. 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 101 m/s
-b) 1.01 x 102 m/s
-c) 1.23 x 102 m/s
-d) 1.49 x 102 m/s
+e) 1.8 x 102 m/s

7.
A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P1= 1.7 kPa, P2= 3.1 kPa. The volumes are V1= 2.8m3 and V4= 4.3m3. How much work is involved between 2 and 4?
+a) 3.6 x 103 J
-b) 1.14 x 104 J
-c) 3.6 x 104 J
-d) 1.14 x 105 J
-e) 3.6 x 105 J

8. 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

9.
A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P1= 2.2 kPa, P2= 3.8 kPa. The volumes are V1= 2.9m3 and V4= 5.4m3. What is the temperature at step 4?
-a) 5.71 x 100 K
-b) 1.81 x 101 K
-c) 5.71 x 101 K
-d) 1.81 x 102 K
+e) 5.71 x 102 K

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 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

### TrigPhys_I_T4sample-v2s1

1.
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 1.6 kPa, P2= 4.3 kPa. The volumes are V1= 2.9m3 and V4= 5.8m3. What is the temperature at step 4?
___a) 8.59 x 100 K
___b) 2.71 x 101 K
___c) 8.59 x 101 K
___d) 2.71 x 102 K
___e) 8.59 x 102 K

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

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 0.71 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 53.5 C to 86.9 C?

___a) 4.79 x 104 J
___b) 5.65 x 104 J
___c) 6.66 x 104 J
___d) 7.85 x 104 J
___e) 9.25 x 104 J

4. 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 101 m
___b) 1.35 x 101 m
___c) 1.64 x 101 m
___d) 1.99 x 101 m
___e) 2.41 x 101 m

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

___ 1.52E4 Pa
___ 1.92E4 Pa
___ 2.41E4 Pa
___ 3.04E4 Pa
___ 3.82E4 Pa

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 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

7. 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 100 J
___b) 8.95 x 100 J
___c) 1.08 x 101 J
___d) 1.31 x 101 J
___e) 1.59 x 101 J

8.
A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 3.2 kPa. The volumes are V1= 1.1m3 and V4= 3.1m3. How much work is involved between 2 and 4?
___a) 1.64 x 103 J
___b) 5.2 x 103 J
___c) 1.64 x 104 J
___d) 5.2 x 104 J
___e) 1.64 x 105 J

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?

___ 3.40E4 Pa
___ 4.12E4 Pa
___ 4.99E4 Pa
___ 6.04E4 Pa
___ 7.32E4 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 0.82 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

#### Key to TrigPhys_I_T4sample-v2s1

1.
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 1.6 kPa, P2= 4.3 kPa. The volumes are V1= 2.9m3 and V4= 5.8m3. What is the temperature at step 4?
-a) 8.59 x 100 K
-b) 2.71 x 101 K
-c) 8.59 x 101 K
-d) 2.71 x 102 K
+e) 8.59 x 102 K

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

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 0.71 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 53.5 C to 86.9 C?

+a) 4.79 x 104 J
-b) 5.65 x 104 J
-c) 6.66 x 104 J
-d) 7.85 x 104 J
-e) 9.25 x 104 J

4. 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 101 m
+b) 1.35 x 101 m
-c) 1.64 x 101 m
-d) 1.99 x 101 m
-e) 2.41 x 101 m

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

- 1.52E4 Pa
+ 1.92E4 Pa
- 2.41E4 Pa
- 3.04E4 Pa
- 3.82E4 Pa

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 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

7. 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 100 J
-b) 8.95 x 100 J
-c) 1.08 x 101 J
-d) 1.31 x 101 J
+e) 1.59 x 101 J

8.
A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 3.2 kPa. The volumes are V1= 1.1m3 and V4= 3.1m3. How much work is involved between 2 and 4?
-a) 1.64 x 103 J
+b) 5.2 x 103 J
-c) 1.64 x 104 J
-d) 5.2 x 104 J
-e) 1.64 x 105 J

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?

- 3.40E4 Pa
+ 4.12E4 Pa
- 4.99E4 Pa
- 6.04E4 Pa
- 7.32E4 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 0.82 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

### TrigPhys_I_T4sample-v1s2

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 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

2.
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

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 0.71 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 53.5 C to 86.9 C?

___a) 4.79 x 104 J
___b) 5.65 x 104 J
___c) 6.66 x 104 J
___d) 7.85 x 104 J
___e) 9.25 x 104 J

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 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

5. 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

6.
A 1241 heat cycle uses 1.2 moles of an ideal gas. The pressures and volumes are: P1= 1.1 kPa, P2= 3.5 kPa. The volumes are V1= 1.2m3 and V4= 2.5m3. How much work is involved between 1 and 4?
___a) 1.43 x 101 J
___b) 4.52 x 101 J
___c) 1.43 x 102 J
___d) 4.52 x 102 J
___e) 1.43 x 103 J

7. 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

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). 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

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 0.66 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 100 km
___b) 1.99 x 100 km
___c) 2.41 x 100 km
___d) 2.92 x 100 km
___e) 3.54 x 100 km

10. 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?

___ 8.26E3 Pa
___ 1.04E4 Pa
___ 1.31E4 Pa
___ 1.65E4 Pa
___ 2.07E4 Pa

#### Key to TrigPhys_I_T4sample-v1s2

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 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

2.
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

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 0.71 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 53.5 C to 86.9 C?

+a) 4.79 x 104 J
-b) 5.65 x 104 J
-c) 6.66 x 104 J
-d) 7.85 x 104 J
-e) 9.25 x 104 J

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 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

5. 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

6.
A 1241 heat cycle uses 1.2 moles of an ideal gas. The pressures and volumes are: P1= 1.1 kPa, P2= 3.5 kPa. The volumes are V1= 1.2m3 and V4= 2.5m3. How much work is involved between 1 and 4?
-a) 1.43 x 101 J
-b) 4.52 x 101 J
-c) 1.43 x 102 J
-d) 4.52 x 102 J
+e) 1.43 x 103 J

7. 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

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). 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

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 0.66 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 100 km
-b) 1.99 x 100 km
-c) 2.41 x 100 km
+d) 2.92 x 100 km
-e) 3.54 x 100 km

10. 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?

- 8.26E3 Pa
- 1.04E4 Pa
+ 1.31E4 Pa
- 1.65E4 Pa
- 2.07E4 Pa

### TrigPhys_I_T4sample-v2s2

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?

___ 6.89E3 N
___ 8.67E3 N
___ 1.09E4 N
___ 1.37E4 N
___ 1.73E4 N

2.
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

3. 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

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 104 J
___b) 4.33 x 104 J
___c) 5.11 x 104 J
___d) 6.02 x 104 J
___e) 7.1 x 104 J

5. 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

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 101 m/s
___b) 5.14 x 101 m/s
___c) 6.22 x 101 m/s
___d) 7.54 x 101 m/s
___e) 9.13 x 101 m/s

7.
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 1.6 kPa, P2= 4.3 kPa. The volumes are V1= 1.6m3 and V4= 3.2m3. How much work is involved between 1 and 4?
___a) 2.56 x 103 J
___b) 8.1 x 103 J
___c) 2.56 x 104 J
___d) 8.1 x 104 J
___e) 2.56 x 105 J

8. 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 101 J
___b) 1.3 x 101 J
___c) 1.57 x 101 J
___d) 1.9 x 101 J
___e) 2.31 x 101 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 m2/s2
___b) 2.73 x 10-1 kg m2/s2
___c) 3.31 x 10-1 kg m2/s2
___d) 4.01 x 10-1 kg m2/s2
___e) 4.85 x 10-1 kg m2/s2

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 0.99 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

#### Key to TrigPhys_I_T4sample-v2s2

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?

- 6.89E3 N
- 8.67E3 N
- 1.09E4 N
+ 1.37E4 N
- 1.73E4 N

2.
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

3. 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

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 104 J
-b) 4.33 x 104 J
-c) 5.11 x 104 J
-d) 6.02 x 104 J
+e) 7.1 x 104 J

5. 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

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 101 m/s
-b) 5.14 x 101 m/s
+c) 6.22 x 101 m/s
-d) 7.54 x 101 m/s
-e) 9.13 x 101 m/s

7.
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 1.6 kPa, P2= 4.3 kPa. The volumes are V1= 1.6m3 and V4= 3.2m3. How much work is involved between 1 and 4?
+a) 2.56 x 103 J
-b) 8.1 x 103 J
-c) 2.56 x 104 J
-d) 8.1 x 104 J
-e) 2.56 x 105 J

8. 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 101 J
-b) 1.3 x 101 J
-c) 1.57 x 101 J
-d) 1.9 x 101 J
+e) 2.31 x 101 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 m2/s2
-b) 2.73 x 10-1 kg m2/s2
+c) 3.31 x 10-1 kg m2/s2
-d) 4.01 x 10-1 kg m2/s2
-e) 4.85 x 10-1 kg m2/s2

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 0.99 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