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

## TrigPhys_I_FEsample_Study[edit]

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### TrigPhys_I_FEsample_Study-v1s1[edit]

1. A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- ___a) 6.08 m/s.

- ___b) 7.3 m/s.

- ___c) 8.76 m/s.

- ___d) 10.51 m/s.

- ___e) 12.61 m/s.

2. What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- ___a) 6.66m/s
^{2}.

- ___b) 7.99m/s
^{2}.

- ___c) 9.59m/s
^{2}.

- ___d) 11.51m/s
^{2}.

- ___e) 13.81m/s
^{2}.

3. A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- ___a) 0.5m/s/s.

- ___b) 0.61m/s/s.

- ___c) 0.73m/s/s.

- ___d) 0.87m/s/s.

- ___e) 1.05m/s/s.

4. 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

5. Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- ___ a) 3.0 meters

- ___ b) 4.0 meters

- ___ c) 6.0 meters

- ___ d) 7.0 meters

- ___ e) 5.0 meters

6. Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- ___ a) 10.0 meters

- ___ b) 7.0 meters

- ___ c) 11.0 meters

- ___ d) 9.0 meters

- ___ e) 8.0 meters

7. 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 2 seconds. How far did he travel?

- ___ a) 8.0 meters

- ___ b) 9.0 meters

- ___ c) 11.0 meters

- ___ d) 10.0 meters

- ___ e) 12.0 meters

8. 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) 5.0 meters

- ___ d) 6.0 meters

- ___ e) 8.0 meters

9. Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- ___ a) 8.0 meters

- ___ b) 9.0 meters

- ___ c) 10.0 meters

- ___ d) 11.0 meters

- ___ e) 7.0 meters

10. Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- ___ a) 22.0 meters

- ___ b) 21.0 meters

- ___ c) 23.0 meters

- ___ d) 20.0 meters

- ___ e) 19.0 meters

11. Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- ___ a) 4.0 meters

- ___ b) 3.0 meters

- ___ c) 5.0 meters

- ___ d) 7.0 meters

- ___ e) 6.0 meters

12. Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- ___ a) 10.0 meters

- ___ b) 8.0 meters

- ___ c) 12.0 meters

- ___ d) 9.0 meters

- ___ e) 11.0 meters

13. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- ___ a) 19.0 meters

- ___ b) 17.0 meters

- ___ c) 16.0 meters

- ___ d) 18.0 meters

- ___ e) 20.0 meters

14. Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- ___ a) 2.0 meters

- ___ b) 4.0 meters

- ___ c) 1.0 meters

- ___ d) 3.0 meters

- ___ e) 5.0 meters

15. 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) 24.0 meters

- ___ e) 26.0 meters

16. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- ___ a) 16.0 meters

- ___ b) 14.0 meters

- ___ c) 15.0 meters

- ___ d) 13.0 meters

- ___ e) 17.0 meters

17. A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- ___a) 3.6 m.

- ___b) 4.32 m.

- ___c) 5.18 m.

- ___d) 6.21 m.

- ___e) 7.46 m.

18. A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- ___a) 31.37 degrees.

- ___b) 36.07 degrees.

- ___c) 41.48 degrees.

- ___d) 47.71 degrees.

- ___e) 54.86 degrees.

19. 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 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- ___a) 0.33 s.

- ___b) 0.39 s.

- ___c) 0.47 s.

- ___d) 0.56 s.

- ___e) 0.68 s.

20. 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 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- ___a) 0.44 radians.

- ___b) 0.51 radians.

- ___c) 0.58 radians.

- ___d) 0.67 radians.

- ___e) 0.77 radians.

21. When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- ___ a) the cloth is more slippery when it is pulled quickly

- ___ b) objects don't begin to accelerate until after the force has been applied

- ___ c) the cloth is accelerating for such a brief time that there is little motion

22. If you toss a coin into the air, the acceleration while it as its highest point is

- ___ a) up

- ___ b) down

- ___ c) zero

23. If you toss a coin into the air, the velocity on the way up is

- ___ a) down

- ___ b) up

- ___ c) zero

24. If you toss a coin into the air, the velocity on the way down is

- ___ a) zero

- ___ b) down

- ___ c) up

25. If you toss a coin into the air, the velocity while it as its highest point is

- ___ a) up

- ___ b) down

- ___ c) zero

26. A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- ___ a) northeast

- ___ b) northwest

- ___ c) south

- ___ d) southwest

- ___ e) north

27. A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- ___ a) northeast

- ___ b) south

- ___ c) northwest

- ___ d) southwest

- ___ e) north

28. A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- ___ a) northeast

- ___ b) northeast

- ___ c) southeast

- ___ d) northwest

- ___ e) north

29. A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- ___ a) north

- ___ b) south

- ___ c) northwest

- ___ d) southwest

- ___ e) northeast

30. A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- ___ a) northwest

- ___ b) south

- ___ c) west

- ___ d) southeast

- ___ e) southwest

31. A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- ___ a) southeast

- ___ b) south

- ___ c) northeast

- ___ d) northwest

- ___ e) north

32. A car is traveling west and slowing down. The acceleration is

- ___ a) to the east

- ___ b) zero

- ___ c) to the west

33. A car is traveling east and slowing down. The acceleration is

- ___ a) to the west

- ___ b) to the east

- ___ c) zero

34. A car is traveling east and speeding up. The acceleration is

- ___ a) to the east

- ___ b) to the west

- ___ c) zero

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

- ___ a) zero

- ___ b) up

- ___ c) down

36. A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- ___ a) south

- ___ b) zero

- ___ c) east

- ___ d) north

- ___ e) west

37. A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- ___ a) south

- ___ b) north

- ___ c) west

- ___ d) zero

- ___ e) east

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

- ___ a) away from Earth

- ___ b) opposite the direction of the Moon's velocity

- ___ c) in the same direction as the Moon's velocity

- ___ d) zero

- ___ e) towards Earth

39. If you toss a coin into the air, the acceleration on the way down is

- ___ a) zero

- ___ b) down

- ___ c) up

40. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- ___a) 12.5 N.

- ___b) 14.3 N.

- ___c) 16.5 N.

- ___d) 19 N.

- ___e) 21.8 N.

41. 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.

42. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

- ___a) 7.3 m/s
^{2}.

- ___b) 8.4 m/s
^{2}.

- ___c) 9.7 m/s
^{2}.

- ___d) 11.1 m/s
^{2}.

- ___e) 12.8 m/s
^{2}.

43. 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

44. A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

- ___a) 19.64 N.

- ___b) 22.59 N.

- ___c) 25.98 N.

- ___d) 29.88 N.

- ___e) 34.36 N.

45. A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

- ___a) 16.81 N.

- ___b) 19.33 N.

- ___c) 22.23 N.

- ___d) 25.57 N.

- ___e) 29.4 N.

46. A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- ___a) 1.05 s

- ___b) 1.21 s

- ___c) 1.39 s

- ___d) 1.6 s

- ___e) 1.84 s

47. A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- ___a) 53.3 degrees

- ___b) 61.3 degrees

- ___c) 70.5 degrees

- ___d) 81.1 degrees

- ___e) 93.3 degrees

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- ___a) 10.01 N.

- ___b) 11.51 N.

- ___c) 13.23 N.

- ___d) 15.22 N.

- ___e) 17.5 N.

49. In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- ___a) 40.3 N.

- ___b) 46.4 N.

- ___c) 53.3 N.

- ___d) 61.3 N.

- ___e) 70.5 N.

*mass*is 2.9 kg. What is T

_{2}?

- ___a) 60.54 N.

- ___b) 69.62 N.

- ___c) 80.06 N.

- ___d) 92.07 N.

- ___e) 105.88 N.

*mass*is 3.1 kg. What is T

_{1}?

- ___a) 34.8 N.

- ___b) 41.8 N.

- ___c) 50.2 N.

- ___d) 60.2 N.

- ___e) 72.3 N.

_{1}is 16 degrees , and θ

_{3}is 35 degrees . The mass has a 'weight' of 28 N. What is the tension, T

_{1}?

- ___a) 19.41 N.

- ___b) 22.32 N.

- ___c) 25.66 N.

- ___d) 29.51 N.

- ___e) 33.94 N.

- ___ a) 0.750 kg

- ___ b) 0.788 kg

- ___ c) 0.827 kg

- ___ d) 0.868 kg

- ___ e) 0.912 kg

- ___ a) 2.46 m

- ___ b) 2.63 m

- ___ c) 2.81 m

- ___ d) 3.01 m

- ___ e) 3.22 m

55. 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) 1.084 m/s

- ___ b) 1.149 m/s

- ___ c) 1.218 m/s

- ___ d) 1.291 m/s

- ___ e) 1.368 m/s

56. 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.

57. A car of mass 654 kg is driving on an icy road at a speed of 15 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) 741 kg

- ___b) 889 kg

- ___c) 1067 kg

- ___d) 1280 kg

- ___e) 1537 kg

- ___a) 44 m/s.

- ___b) 47 m/s.

- ___c) 50 m/s.

- ___d) 54 m/s.

- ___e) 57 m/s.

- ___a) 1.29E+02 N

- ___b) 1.62E+02 N

- ___c) 2.04E+02 N

- ___d) 2.57E+02 N

- ___e) 3.23E+02 N

_{1}= 5.5m, L

_{2}= 3.7m and L

_{3}= 8.2m. What is F

_{1}if F

_{2}=7.8N and F

_{3}=5.6N?

- ___a) 9.26E+00 N

- ___b) 1.12E+01 N

- ___c) 1.36E+01 N

- ___d) 1.65E+01 N

- ___e) 2.00E+01 N

- ___a) 2.71E+01 N

- ___b) 3.29E+01 N

- ___c) 3.98E+01 N

- ___d) 4.83E+01 N

- ___e) 5.85E+01 N

_{1}= 6.1m, L

_{2}= 4.8m and L

_{3}= 7.2m. What is F

_{2}if F

_{1}=0.72N and F

_{3}=0.1N?

- ___a) 6.31E-01 N

- ___b) 7.65E-01 N

- ___c) 9.27E-01 N

- ___d) 1.12E+00 N

- ___e) 1.36E+00 N

- ___a) 1.17E+01 N

- ___b) 1.42E+01 N

- ___c) 1.72E+01 N

- ___d) 2.08E+01 N

- ___e) 2.52E+01 N

64. 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 10
^{0}m

- ___b) 1.15 x 10
^{1}m

- ___c) 1.4 x 10
^{1}m

- ___d) 1.69 x 10
^{1}m

- ___e) 2.05 x 10
^{1}m

65. A lead filled bicycle wheel of radius 0.56 m and mass 2.9 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

- ___a) 7.51 x 10
^{-1}kg m^{2}/s^{2}

- ___b) 9.09 x 10
^{-1}kg m^{2}/s^{2}

- ___c) 1.1 x 10
^{0}kg m^{2}/s^{2}

- ___d) 1.33 x 10
^{0}kg m^{2}/s^{2}

- ___e) 1.62 x 10
^{0}kg m^{2}/s^{2}

66. 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 10
^{1}J

- ___b) 1.49 x 10
^{1}J

- ___c) 1.8 x 10
^{1}J

- ___d) 2.18 x 10
^{1}J

- ___e) 2.64 x 10
^{1}J

^{2}. 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 10
^{0}s^{-2}

- ___b) 1.11 x 10
^{1}s^{-2}

- ___c) 1.34 x 10
^{1}s^{-2}

- ___d) 1.62 x 10
^{1}s^{-2}

- ___e) 1.97 x 10
^{1}s^{-2}

68. 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 pressure at the top face of the cylinder?

- ___ 2.48E4 Pa

- ___ 3.00E4 Pa

- ___ 3.64E4 Pa

- ___ 4.41E4 Pa

- ___ 5.34E4 Pa

69. 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 buoyant force?

- ___ 5.82E3 N

- ___ 7.06E3 N

- ___ 8.55E3 N

- ___ 1.04E4 N

- ___ 1.25E4 N

70. 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 water at the top surface?

- ___ 6.24E3 N

- ___ 7.86E3 N

- ___ 9.90E3 N

- ___ 1.25E4 N

- ___ 1.57E4 N

71. 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

72. A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 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) 2.07E0 m/s

- ___b) 2.51E0 m/s

- ___c) 3.04E0 m/s

- ___d) 3.69E0 m/s

- ___e) 4.46E0 m/s

73. A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- ___a) 4.64E3

- ___b) 5.62E3

- ___c) 6.81E3

- ___d) 8.25E3

- ___e) 9.99E3

74. 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

75. A large cylinder is filled with water so that the bottom is 5.4 m below the waterline. At the bottom is a small hole with a diameter of 9.6E-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) 7.01E0 m/s

- ___b) 8.49E0 m/s

- ___c) 1.03E1 m/s

- ___d) 1.25E1 m/s

- ___e) 1.51E1 m/s

76. What is the root-mean-square of -28, -38, and -13?

- ___a) 2.519 x 10
^{1}

- ___b) 2.827 x 10
^{1}

- ___c) 3.172 x 10
^{1}

- ___d) 3.559 x 10
^{1}

- ___e) 3.993 x 10
^{1}

77. What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

- ___a) 3.08 x 10
^{2}m/s

- ___b) 3.73 x 10
^{2}m/s

- ___c) 4.52 x 10
^{2}m/s

- ___d) 5.48 x 10
^{2}m/s

- ___e) 6.64 x 10
^{2}m/s

78. If a molecule with atomic mass equal to 9 amu has a speed of 249 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- ___a) 6.23 x 10
^{1}m/s

- ___b) 7.54 x 10
^{1}m/s

- ___c) 9.14 x 10
^{1}m/s

- ___d) 1.11 x 10
^{2}m/s

- ___e) 1.34 x 10
^{2}m/s

79. 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 10
^{4}J

- ___b) 4.33 x 10
^{4}J

- ___c) 5.11 x 10
^{4}J

- ___d) 6.02 x 10
^{4}J

- ___e) 7.1 x 10
^{4}J

80. 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. What fraction of the heat went into the aluminum?

- ___a) 3.4 x 10
^{-1}

- ___b) 4.1 x 10
^{-1}

- ___c) 4.8 x 10
^{-1}

- ___d) 5.6 x 10
^{-1}

- ___e) 6.6 x 10
^{-1}

81. 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. 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) 4.68 x 10
^{0}km

- ___b) 5.67 x 10
^{0}km

- ___c) 6.87 x 10
^{0}km

- ___d) 8.32 x 10
^{0}km

- ___e) 1.01 x 10
^{1}km

82. A window is square, with a length of each side equal to 0.93 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 1.55. You also increase the thickness of the glass by a factor of 2.54. 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) 4.16 x 10
^{0}unit

- ___b) 5.04 x 10
^{0}unit

- ___c) 6.1 x 10
^{0}unit

- ___d) 7.39 x 10
^{0}unit

- ___e) 8.96 x 10
^{0}unit

_{1}= 2.3 kPa, P

_{2}= 4.8 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 3.5m

^{3}. How much work is done in in one cycle?

- ___a) 1.75 x 10
^{1}J

- ___b) 5.53 x 10
^{1}J

- ___c) 1.75 x 10
^{2}J

- ___d) 5.53 x 10
^{2}J

- ___e) 1.75 x 10
^{3}J

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- ___a) 2.31 x 10
^{2}J

- ___b) 7.3 x 10
^{2}J

- ___c) 2.31 x 10
^{3}J

- ___d) 7.3 x 10
^{3}J

- ___e) 2.31 x 10
^{4}J

_{1}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

^{3}. How much work is involved between 2 and 4?

- ___a) 1.44 x 10
^{2}J

- ___b) 4.56 x 10
^{2}J

- ___c) 1.44 x 10
^{3}J

- ___d) 4.56 x 10
^{3}J

- ___e) 1.44 x 10
^{4}J

_{1}= 2.6 kPa, P

_{2}= 5.7 kPa. The volumes are V

_{1}= 2.7m

^{3}and V

_{4}= 5.5m

^{3}. What is the temperature at step 4?

- ___a) 1.15 x 10
^{3}K

- ___b) 3.63 x 10
^{3}K

- ___c) 1.15 x 10
^{4}K

- ___d) 3.63 x 10
^{4}K

- ___e) 1.15 x 10
^{5}K

#### Key to TrigPhys_I_FEsample_Study-v1s1[edit]

1. A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- -a) 6.08 m/s.

- +b) 7.3 m/s.

- -c) 8.76 m/s.

- -d) 10.51 m/s.

- -e) 12.61 m/s.

2. What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 6.66m/s
^{2}.

- -a) 6.66m/s

- -b) 7.99m/s
^{2}.

- -b) 7.99m/s

- +c) 9.59m/s
^{2}.

- +c) 9.59m/s

- -d) 11.51m/s
^{2}.

- -d) 11.51m/s

- -e) 13.81m/s
^{2}.

- -e) 13.81m/s

3. A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- -a) 0.5m/s/s.

- -b) 0.61m/s/s.

- -c) 0.73m/s/s.

- -d) 0.87m/s/s.

- +e) 1.05m/s/s.

4. 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

5. Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- - a) 3.0 meters

- - b) 4.0 meters

- + c) 6.0 meters

- - d) 7.0 meters

- - e) 5.0 meters

6. Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- + a) 10.0 meters

- - b) 7.0 meters

- - c) 11.0 meters

- - d) 9.0 meters

- - e) 8.0 meters

7. 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 2 seconds. How far did he travel?

- - a) 8.0 meters

- - b) 9.0 meters

- - c) 11.0 meters

- - d) 10.0 meters

- + e) 12.0 meters

8. 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) 5.0 meters

- + d) 6.0 meters

- - e) 8.0 meters

9. Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- - a) 8.0 meters

- - b) 9.0 meters

- + c) 10.0 meters

- - d) 11.0 meters

- - e) 7.0 meters

10. Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- - a) 22.0 meters

- - b) 21.0 meters

- - c) 23.0 meters

- + d) 20.0 meters

- - e) 19.0 meters

11. Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- - a) 4.0 meters

- + b) 3.0 meters

- - c) 5.0 meters

- - d) 7.0 meters

- - e) 6.0 meters

12. Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- - a) 10.0 meters

- - b) 8.0 meters

- - c) 12.0 meters

- + d) 9.0 meters

- - e) 11.0 meters

13. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- - a) 19.0 meters

- - b) 17.0 meters

- + c) 16.0 meters

- - d) 18.0 meters

- - e) 20.0 meters

14. Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- - a) 2.0 meters

- - b) 4.0 meters

- - c) 1.0 meters

- + d) 3.0 meters

- - e) 5.0 meters

15. 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) 24.0 meters

- - e) 26.0 meters

16. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- + a) 16.0 meters

- - b) 14.0 meters

- - c) 15.0 meters

- - d) 13.0 meters

- - e) 17.0 meters

17. A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- -a) 3.6 m.

- -b) 4.32 m.

- -c) 5.18 m.

- +d) 6.21 m.

- -e) 7.46 m.

18. A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.

- -b) 36.07 degrees.

- -c) 41.48 degrees.

- +d) 47.71 degrees.

- -e) 54.86 degrees.

19. 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 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.

- -b) 0.39 s.

- -c) 0.47 s.

- +d) 0.56 s.

- -e) 0.68 s.

20. 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 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.44 radians.

- -b) 0.51 radians.

- +c) 0.58 radians.

- -d) 0.67 radians.

- -e) 0.77 radians.

21. When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

- - a) the cloth is more slippery when it is pulled quickly

- - b) objects don't begin to accelerate until after the force has been applied

- + c) the cloth is accelerating for such a brief time that there is little motion

22. If you toss a coin into the air, the acceleration while it as its highest point is

- - a) up

- + b) down

- - c) zero

23. If you toss a coin into the air, the velocity on the way up is

- - a) down

- + b) up

- - c) zero

24. If you toss a coin into the air, the velocity on the way down is

- - a) zero

- + b) down

- - c) up

25. If you toss a coin into the air, the velocity while it as its highest point is

- - a) up

- - b) down

- + c) zero

26. A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- - a) northeast

- + b) northwest

- - c) south

- - d) southwest

- - e) north

27. A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- + a) northeast

- - b) south

- - c) northwest

- - d) southwest

- - e) north

28. A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

- - a) northeast

- - b) northeast

- - c) southeast

- - d) northwest

- + e) north

29. A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

- + a) north

- - b) south

- - c) northwest

- - d) southwest

- - e) northeast

30. A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

- - a) northwest

- - b) south

- - c) west

- - d) southeast

- + e) southwest

31. A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

- + a) southeast

- - b) south

- - c) northeast

- - d) northwest

- - e) north

32. A car is traveling west and slowing down. The acceleration is

- + a) to the east

- - b) zero

- - c) to the west

33. A car is traveling east and slowing down. The acceleration is

- + a) to the west

- - b) to the east

- - c) zero

34. A car is traveling east and speeding up. The acceleration is

- + a) to the east

- - b) to the west

- - c) zero

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

- - a) zero

- - b) up

- + c) down

36. A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

- - a) south

- - b) zero

- - c) east

- - d) north

- + e) west

37. A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- - a) south

- - b) north

- - c) west

- - d) zero

- + e) east

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

- - a) away from Earth

- - b) opposite the direction of the Moon's velocity

- - c) in the same direction as the Moon's velocity

- - d) zero

- + e) towards Earth

39. If you toss a coin into the air, the acceleration on the way down is

- - a) zero

- + b) down

- - c) up

40. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

- -a) 12.5 N.

- -b) 14.3 N.

- +c) 16.5 N.

- -d) 19 N.

- -e) 21.8 N.

41. 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.

42. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

- -a) 7.3 m/s
^{2}.

- -a) 7.3 m/s

- +b) 8.4 m/s
^{2}.

- +b) 8.4 m/s

- -c) 9.7 m/s
^{2}.

- -c) 9.7 m/s

- -d) 11.1 m/s
^{2}.

- -d) 11.1 m/s

- -e) 12.8 m/s
^{2}.

- -e) 12.8 m/s

43. 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

44. A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

- -a) 19.64 N.

- -b) 22.59 N.

- -c) 25.98 N.

- -d) 29.88 N.

- +e) 34.36 N.

45. A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

- -a) 16.81 N.

- -b) 19.33 N.

- +c) 22.23 N.

- -d) 25.57 N.

- -e) 29.4 N.

46. A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

- -a) 1.05 s

- +b) 1.21 s

- -c) 1.39 s

- -d) 1.6 s

- -e) 1.84 s

47. A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- -a) 53.3 degrees

- -b) 61.3 degrees

- +c) 70.5 degrees

- -d) 81.1 degrees

- -e) 93.3 degrees

_{1}is 19 degrees, and θ

_{3}is 38 degrees. The tension T

_{3}is 21 N. What is the tension, T

_{1}?

- -a) 10.01 N.

- -b) 11.51 N.

- -c) 13.23 N.

- -d) 15.22 N.

- +e) 17.5 N.

49. In the figure "3 tensions" shown above θ_{1} is 18 degrees, and θ_{3} is 35 degrees. The tension T_{3} is 48 N. What is the weight?

- +a) 40.3 N.

- -b) 46.4 N.

- -c) 53.3 N.

- -d) 61.3 N.

- -e) 70.5 N.

*mass*is 2.9 kg. What is T

_{2}?

- +a) 60.54 N.

- -b) 69.62 N.

- -c) 80.06 N.

- -d) 92.07 N.

- -e) 105.88 N.

*mass*is 3.1 kg. What is T

_{1}?

- -a) 34.8 N.

- +b) 41.8 N.

- -c) 50.2 N.

- -d) 60.2 N.

- -e) 72.3 N.

_{1}is 16 degrees , and θ

_{3}is 35 degrees . The mass has a 'weight' of 28 N. What is the tension, T

_{1}?

- -a) 19.41 N.

- -b) 22.32 N.

- -c) 25.66 N.

- +d) 29.51 N.

- -e) 33.94 N.

- - a) 0.750 kg

- + b) 0.788 kg

- - c) 0.827 kg

- - d) 0.868 kg

- - e) 0.912 kg

- + a) 2.46 m

- - b) 2.63 m

- - c) 2.81 m

- - d) 3.01 m

- - e) 3.22 m

55. 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) 1.084 m/s

- - b) 1.149 m/s

- - c) 1.218 m/s

- + d) 1.291 m/s

- - e) 1.368 m/s

56. 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.

57. A car of mass 654 kg is driving on an icy road at a speed of 15 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) 741 kg

- -b) 889 kg

- +c) 1067 kg

- -d) 1280 kg

- -e) 1537 kg

- -a) 44 m/s.

- -b) 47 m/s.

- +c) 50 m/s.

- -d) 54 m/s.

- -e) 57 m/s.

- +a) 1.29E+02 N

- -b) 1.62E+02 N

- -c) 2.04E+02 N

- -d) 2.57E+02 N

- -e) 3.23E+02 N

_{1}= 5.5m, L

_{2}= 3.7m and L

_{3}= 8.2m. What is F

_{1}if F

_{2}=7.8N and F

_{3}=5.6N?

- -a) 9.26E+00 N

- -b) 1.12E+01 N

- +c) 1.36E+01 N

- -d) 1.65E+01 N

- -e) 2.00E+01 N

- -a) 2.71E+01 N

- +b) 3.29E+01 N

- -c) 3.98E+01 N

- -d) 4.83E+01 N

- -e) 5.85E+01 N

_{1}= 6.1m, L

_{2}= 4.8m and L

_{3}= 7.2m. What is F

_{2}if F

_{1}=0.72N and F

_{3}=0.1N?

- -a) 6.31E-01 N

- +b) 7.65E-01 N

- -c) 9.27E-01 N

- -d) 1.12E+00 N

- -e) 1.36E+00 N

- -a) 1.17E+01 N

- -b) 1.42E+01 N

- -c) 1.72E+01 N

- +d) 2.08E+01 N

- -e) 2.52E+01 N

64. 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 10
^{0}m

- +a) 9.52 x 10

- -b) 1.15 x 10
^{1}m

- -b) 1.15 x 10

- -c) 1.4 x 10
^{1}m

- -c) 1.4 x 10

- -d) 1.69 x 10
^{1}m

- -d) 1.69 x 10

- -e) 2.05 x 10
^{1}m

- -e) 2.05 x 10

65. A lead filled bicycle wheel of radius 0.56 m and mass 2.9 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

- -a) 7.51 x 10
^{-1}kg m^{2}/s^{2}

- -a) 7.51 x 10

- +b) 9.09 x 10
^{-1}kg m^{2}/s^{2}

- +b) 9.09 x 10

- -c) 1.1 x 10
^{0}kg m^{2}/s^{2}

- -c) 1.1 x 10

- -d) 1.33 x 10
^{0}kg m^{2}/s^{2}

- -d) 1.33 x 10

- -e) 1.62 x 10
^{0}kg m^{2}/s^{2}

- -e) 1.62 x 10

66. 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 10
^{1}J

- -a) 1.23 x 10

- -b) 1.49 x 10
^{1}J

- -b) 1.49 x 10

- -c) 1.8 x 10
^{1}J

- -c) 1.8 x 10

- +d) 2.18 x 10
^{1}J

- +d) 2.18 x 10

- -e) 2.64 x 10
^{1}J

- -e) 2.64 x 10

^{2}. 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 10
^{0}s^{-2}

- -a) 9.12 x 10

- -b) 1.11 x 10
^{1}s^{-2}

- -b) 1.11 x 10

- -c) 1.34 x 10
^{1}s^{-2}

- -c) 1.34 x 10

- -d) 1.62 x 10
^{1}s^{-2}

- -d) 1.62 x 10

- +e) 1.97 x 10
^{1}s^{-2}

- +e) 1.97 x 10

68. 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 pressure at the top face of the cylinder?

- - 2.48E4 Pa

- - 3.00E4 Pa

- - 3.64E4 Pa

- + 4.41E4 Pa

- - 5.34E4 Pa

69. 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 buoyant force?

- - 5.82E3 N

- - 7.06E3 N

- - 8.55E3 N

- + 1.04E4 N

- - 1.25E4 N

70. 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 water at the top surface?

- - 6.24E3 N

- - 7.86E3 N

- + 9.90E3 N

- - 1.25E4 N

- - 1.57E4 N

71. 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

72. A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 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) 2.07E0 m/s

- -b) 2.51E0 m/s

- -c) 3.04E0 m/s

- -d) 3.69E0 m/s

- -e) 4.46E0 m/s

73. A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- +a) 4.64E3

- -b) 5.62E3

- -c) 6.81E3

- -d) 8.25E3

- -e) 9.99E3

74. 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

75. A large cylinder is filled with water so that the bottom is 5.4 m below the waterline. At the bottom is a small hole with a diameter of 9.6E-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) 7.01E0 m/s

- -b) 8.49E0 m/s

- +c) 1.03E1 m/s

- -d) 1.25E1 m/s

- -e) 1.51E1 m/s

76. What is the root-mean-square of -28, -38, and -13?

- -a) 2.519 x 10
^{1}

- -a) 2.519 x 10

- +b) 2.827 x 10
^{1}

- +b) 2.827 x 10

- -c) 3.172 x 10
^{1}

- -c) 3.172 x 10

- -d) 3.559 x 10
^{1}

- -d) 3.559 x 10

- -e) 3.993 x 10
^{1}

- -e) 3.993 x 10

77. What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

- -a) 3.08 x 10
^{2}m/s

- -a) 3.08 x 10

- -b) 3.73 x 10
^{2}m/s

- -b) 3.73 x 10

- -c) 4.52 x 10
^{2}m/s

- -c) 4.52 x 10

- -d) 5.48 x 10
^{2}m/s

- -d) 5.48 x 10

- +e) 6.64 x 10
^{2}m/s

- +e) 6.64 x 10

78. If a molecule with atomic mass equal to 9 amu has a speed of 249 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- -a) 6.23 x 10
^{1}m/s

- -a) 6.23 x 10

- -b) 7.54 x 10
^{1}m/s

- -b) 7.54 x 10

- -c) 9.14 x 10
^{1}m/s

- -c) 9.14 x 10

- -d) 1.11 x 10
^{2}m/s

- -d) 1.11 x 10

- +e) 1.34 x 10
^{2}m/s

- +e) 1.34 x 10

79. 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 10
^{4}J

- -a) 3.68 x 10

- -b) 4.33 x 10
^{4}J

- -b) 4.33 x 10

- -c) 5.11 x 10
^{4}J

- -c) 5.11 x 10

- -d) 6.02 x 10
^{4}J

- -d) 6.02 x 10

- +e) 7.1 x 10
^{4}J

- +e) 7.1 x 10

80. 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. What fraction of the heat went into the aluminum?

- -a) 3.4 x 10
^{-1}

- -a) 3.4 x 10

- -b) 4.1 x 10
^{-1}

- -b) 4.1 x 10

- -c) 4.8 x 10
^{-1}

- -c) 4.8 x 10

- +d) 5.6 x 10
^{-1}

- +d) 5.6 x 10

- -e) 6.6 x 10
^{-1}

- -e) 6.6 x 10

81. 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. 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) 4.68 x 10
^{0}km

- -a) 4.68 x 10

- -b) 5.67 x 10
^{0}km

- -b) 5.67 x 10

- -c) 6.87 x 10
^{0}km

- -c) 6.87 x 10

- -d) 8.32 x 10
^{0}km

- -d) 8.32 x 10

- +e) 1.01 x 10
^{1}km

- +e) 1.01 x 10

82. A window is square, with a length of each side equal to 0.93 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 1.55. You also increase the thickness of the glass by a factor of 2.54. 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) 4.16 x 10
^{0}unit

- -a) 4.16 x 10

- -b) 5.04 x 10
^{0}unit

- -b) 5.04 x 10

- +c) 6.1 x 10
^{0}unit

- +c) 6.1 x 10

- -d) 7.39 x 10
^{0}unit

- -d) 7.39 x 10

- -e) 8.96 x 10
^{0}unit

- -e) 8.96 x 10

_{1}= 2.3 kPa, P

_{2}= 4.8 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 3.5m

^{3}. How much work is done in in one cycle?

- -a) 1.75 x 10
^{1}J

- -a) 1.75 x 10

- -b) 5.53 x 10
^{1}J

- -b) 5.53 x 10

- -c) 1.75 x 10
^{2}J

- -c) 1.75 x 10

- -d) 5.53 x 10
^{2}J

- -d) 5.53 x 10

- +e) 1.75 x 10
^{3}J

- +e) 1.75 x 10

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- -a) 2.31 x 10
^{2}J

- -a) 2.31 x 10

- -b) 7.3 x 10
^{2}J

- -b) 7.3 x 10

- +c) 2.31 x 10
^{3}J

- +c) 2.31 x 10

- -d) 7.3 x 10
^{3}J

- -d) 7.3 x 10

- -e) 2.31 x 10
^{4}J

- -e) 2.31 x 10

_{1}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

^{3}. How much work is involved between 2 and 4?

- -a) 1.44 x 10
^{2}J

- -a) 1.44 x 10

- -b) 4.56 x 10
^{2}J

- -b) 4.56 x 10

- -c) 1.44 x 10
^{3}J

- -c) 1.44 x 10

- +d) 4.56 x 10
^{3}J

- +d) 4.56 x 10

- -e) 1.44 x 10
^{4}J

- -e) 1.44 x 10

_{1}= 2.6 kPa, P

_{2}= 5.7 kPa. The volumes are V

_{1}= 2.7m

^{3}and V

_{4}= 5.5m

^{3}. What is the temperature at step 4?

- +a) 1.15 x 10
^{3}K

- +a) 1.15 x 10

- -b) 3.63 x 10
^{3}K

- -b) 3.63 x 10

- -c) 1.15 x 10
^{4}K

- -c) 1.15 x 10

- -d) 3.63 x 10
^{4}K

- -d) 3.63 x 10

- -e) 1.15 x 10
^{5}K

- -e) 1.15 x 10

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