User:Guy vandegrift/Quizbank/Archive1/Calculus Physics I/FEstudy

CalcPhys1FE_Study

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CalcPhys1FE_Study-v1s1

1. A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

___a) 5.39 m/s.
___b) 6.47 m/s.
___c) 7.76 m/s.
___d) 9.31 m/s.
___e) 11.18 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/s2.
___b) 7.99m/s2.
___c) 9.59m/s2.
___d) 11.51m/s2.
___e) 13.81m/s2.

3. A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

___a) 1m/s/s.
___b) 1.2m/s/s.
___c) 1.43m/s/s.
___d) 1.72m/s/s.
___e) 2.07m/s/s.

4. 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

5. A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

___a) 2.75 m.
___b) 3.3 m.
___c) 3.96 m.
___d) 4.75 m.
___e) 5.7 m.

6. A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s2 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 = 2.7 s?

___a) 40.85 degrees.
___b) 46.98 degrees.
___c) 54.03 degrees.
___d) 62.13 degrees.
___e) 71.45 degrees.

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 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

___a) 0.43 s.
___b) 0.52 s.
___c) 0.62 s.
___d) 0.75 s.
___e) 0.9 s.

8. 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 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

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

___ a) the cloth is accelerating for such a brief time that there is little motion
___ b) the cloth is more slippery when it is pulled quickly
___ c) objects don't begin to accelerate until after the force has been applied

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

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

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

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

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

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

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

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

14. 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) southwest
___ c) south
___ d) northwest
___ e) north

15. 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) southwest
___ b) northeast
___ c) south
___ d) northwest
___ e) north

16. 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) north
___ b) northeast
___ c) northeast
___ d) northwest
___ e) southeast

17. 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) south
___ b) northeast
___ c) northwest
___ d) north
___ e) southwest

18. 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) south
___ b) west
___ c) southwest
___ d) northwest
___ e) southeast

19. 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) south
___ b) northwest
___ c) northeast
___ d) southeast
___ e) north

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

___ a) zero
___ b) to the west
___ c) to the east

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

___ a) to the east
___ b) to the west
___ c) zero

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

___ a) zero
___ b) to the east
___ c) to the west

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

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

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

___ a) north
___ b) west
___ c) zero
___ d) south
___ e) east

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

___ a) north
___ b) zero
___ c) south
___ d) east
___ e) west

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

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

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

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

28. A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

___a) 27.11 N.
___b) 31.17 N.
___c) 35.85 N.
___d) 41.23 N.
___e) 47.41 N.

29. A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 41.9N at an angle of 42 degress above the horizontal. What is the normal force?

___a) 18.94 N.
___b) 21.78 N.
___c) 25.05 N.
___d) 28.8 N.
___e) 33.12 N.

30. 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

31. 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/s2?

___a) 53.3 degrees
___b) 61.3 degrees
___c) 70.5 degrees
___d) 81.1 degrees
___e) 93.3 degrees

32. 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.

33. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

34. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

35. A mass with weight (mg) 6 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 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.52
___b) 0.63
___c) 0.76
___d) 0.91
___e) 1.09

36. A merry-go-round has an angular frequency, $\omega$ , equal to 0.16 rad/sec. How many minutes does it take to complete 9.5 revolutions?

___a) 5.41 minutes.
___b) 6.22 minutes.
___c) 7.15 minutes.
___d) 8.22 minutes.
___e) 9.46 minutes.

37. A merry-go round has a period of 0.22 minutes. What is the centripetal force on a 96.9 kg person who is standing 1.95 meters from the center?

___a) 32.4 newtons.
___b) 37.2 newtons.
___c) 42.8 newtons.
___d) 49.2 newtons.
___e) 56.6 newtons.

38. A merry-go round has a period of 0.26 minutes. What is the minimum coefficient of static friction that would allow a 53.3 kg person to stand1.35 meters from the center, without grabbing something?

___a) 0.019
___b) 0.022
___c) 0.026
___d) 0.03
___e) 0.034

39. What is the gravitational acceleration on a plant that is 1.83 times more massive than Earth, and a radius that is 1.38 times greater than Earths?

___a) 8.2 m/s2
___b) 9.4 m/s2
___c) 10.8 m/s2
___d) 12.5 m/s2
___e) 14.3 m/s2

40. What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 1.83 times greater than Earth's?

___a) 19.2 m/s2
___b) 22.1 m/s2
___c) 25.4 m/s2
___d) 29.2 m/s2
___e) 33.5 m/s2

41. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

42. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.97 m
___ d) 2.11 m
___ e) 2.26 m

43. 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) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

44. Integrate the line integral of, ${\vec {F}}=6.9xy{\hat {x}}+5.5y^{3}{\hat {y}}$ , along the y axis from y = 7 to y = 18

___ a) 1.41E+05
___ b) 1.51E+05
___ c) 1.61E+05
___ d) 1.73E+05
___ e) 1.85E+05

45. Integrate the function, ${\vec {F}}=r^{7}\theta ^{3}{\hat {r}}+r^{4}\theta ^{7}{\hat {\theta }}$ , along the first quadrant of a circle of radius 3

___ a) 1.05E+03
___ b) 1.13E+03
___ c) 1.20E+03
___ d) 1.29E+03
___ e) 1.38E+03

46. Integrate the line integral of ${\vec {F}}=2xy{\hat {x}}+9.5x{\hat {y}}$ from the origin to the point at x = 2.1 and y = 3.8

___ a) 4.91E+01
___ b) 5.25E+01
___ c) 5.62E+01
___ d) 6.01E+01
___ e) 6.43E+01

47. Integrate the function, ${\vec {F}}=-x^{4}y^{2}{\hat {x}}+x^{3}y^{4}{\hat {y}}$ , as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

___ a) 3.74E-01
___ b) 4.00E-01
___ c) 4.28E-01
___ d) 4.58E-01
___ e) 4.90E-01

48. On object of mass 2 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 25 kg. What is the final velocity if they stick? (Assume no external friction.)

___a) 1.29m/s.
___b) 1.54m/s.
___c) 1.85m/s.
___d) 2.22m/s.
___e) 2.67m/s.

49. 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

50. A 169 gm bullet strikes a ballistic pendulum of mass 2.45 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
___a) 55 m/s.
___b) 59 m/s.
___c) 63 m/s.
___d) 68 m/s.
___e) 73 m/s.

51. A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

___a) 5.45 x 100 m
___b) 6.6 x 100 m
___c) 7.99 x 100 m
___d) 9.68 x 100 m
___e) 1.17 x 101 m

52. 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

53. 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

54. The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?
___a) 1.48 x 101 s-2
___b) 1.8 x 101 s-2
___c) 2.18 x 101 s-2
___d) 2.64 x 101 s-2
___e) 3.19 x 101 s-2

55. 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

56. 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 buoyant force?

___ 5.56E3 N
___ 6.74E3 N
___ 8.16E3 N
___ 9.89E3 N
___ 1.20E4 N

57. 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 water at the top surface?

___ 7.12E3 N
___ 8.96E3 N
___ 1.13E4 N
___ 1.42E4 N
___ 1.79E4 N

58. A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

___ 1.44E4 Pa
___ 1.81E4 Pa
___ 2.28E4 Pa
___ 2.87E4 Pa
___ 3.62E4 Pa

59. 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

60. 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). What is the pressure difference (in Pascals) between the two regions of the pipe?

___a) 6.00E4
___b) 7.27E4
___c) 8.81E4
___d) 1.07E5
___e) 1.29E5

61. 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). If two fluid elements at the center of the pipe are separated by 37.0 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) 9.34E2 mm
___b) 1.13E3 mm
___c) 1.37E3 mm
___d) 1.66E3 mm
___e) 2.01E3 mm

62. A large cylinder is filled with water so that the bottom is 8.0 m below the waterline. At the bottom is a small hole with a diameter of 9.1E-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) 7.04E0 m/s
___b) 8.53E0 m/s
___c) 1.03E1 m/s
___d) 1.25E1 m/s
___e) 1.52E1 m/s

63. 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. How much heat does it take to raise both from 54.4 C to 78.1 C?

___a) 2.43 x 104 J
___b) 2.86 x 104 J
___c) 3.38 x 104 J
___d) 3.98 x 104 J
___e) 4.69 x 104 J

64. 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

65. {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. 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) 5.43 x 100 km
___b) 6.58 x 100 km
___c) 7.97 x 100 km
___d) 9.66 x 100 km
___e) 1.17 x 101 km

66. A window is square, with a length of each side equal to 0.81 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 1.24. You also increase the thickness of the glass by a factor of 2.15. 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) 1.53 x 100 unit
___b) 1.86 x 100 unit
___c) 2.25 x 100 unit
___d) 2.73 x 100 unit
___e) 3.31 x 100 unit

67. 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

68. A 1241 heat cycle uses 2.4 moles of an ideal gas. The pressures and volumes are: P1= 2.1 kPa, P2= 3.2 kPa. The volumes are V1= 1.1m3 and V4= 2.2m3. How much work is involved between 1 and 4?
___a) 2.31 x 102 J
___b) 7.3 x 102 J
___c) 2.31 x 103 J
___d) 7.3 x 103 J
___e) 2.31 x 104 J

69. 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

70. A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P1= 2.6 kPa, P2= 4.9 kPa. The volumes are V1= 1.2m3 and V4= 3.5m3. What is the temperature at step 4?
___a) 5.47 x 101 K
___b) 1.73 x 102 K
___c) 5.47 x 102 K
___d) 1.73 x 103 K
___e) 5.47 x 103 K

71. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?

___ a) v(t) = -21sin(3t-π/6)
___ b) v(t) = -21cos(3t-π/6)
___ c) v(t) = 7cos(3t-π/6)
___ d) v(t) = 21cos(3t-π/6)
___ e) v(t) = 21sin(3t-π/6)

72. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the acceleration?

___ a) a(t) = -21cos(3t-π/6)
___ b) a(t) = -21sin(3t-π/6)
___ c) a(t) = +21sin(3t-π/6)
___ d) a(t) = +63sin(3t-π/6)
___ e) a(t) = -63sin(3t-π/6)

73. If a particle's position is given by x(t) = 5cos(4t-π/6), what is the velocity?

___ a) v(t) = -20cos(4t-π/6)
___ b) v(t) = 20sin(4t-π/6)
___ c) v(t) = -20sin(4t-π/6)
___ d) v(t) = 20cos(4t-π/6)
___ e) v(t) = 5sin(4t-π/6)

74. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the velocity?

___ a) v(t) = 20cos(4t-π/6)
___ b) v(t) = -20cos(4t-π/6)
___ c) v(t) = -20sin(4t-π/6)
___ d) v(t) = 5cos(4t-π/6)
___ e) v(t) = 20sin(4t-π/6)

75. If a particle's position is given by x(t) = 7cos(3t-π/6), what is the velocity?

___ a) v(t) = -21cos(3t-π/6)
___ b) v(t) = -21sin(3t-π/6)
___ c) v(t) = 7sin(3t-π/6)
___ d) v(t) = 21sin(3t-π/6)
___ e) v(t) = 21cos(3t-π/6)

76. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the acceleration?

___ a) a(t) = +20sin(4t-π/6)
___ b) a(t) = -100sin(4t-π/6)
___ c) a(t) = -100cos(4t-π/6)
___ d) a(t) = -80sin(4t-π/6)
___ e) a(t) = +80sin(4t-π/6)

Key to CalcPhys1FE_Study-v1s1

1. A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

-a) 5.39 m/s.
-b) 6.47 m/s.
+c) 7.76 m/s.
-d) 9.31 m/s.
-e) 11.18 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/s2.
-b) 7.99m/s2.
+c) 9.59m/s2.
-d) 11.51m/s2.
-e) 13.81m/s2.

3. A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

+a) 1m/s/s.
-b) 1.2m/s/s.
-c) 1.43m/s/s.
-d) 1.72m/s/s.
-e) 2.07m/s/s.

4. 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

5. A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

-a) 2.75 m.
-b) 3.3 m.
+c) 3.96 m.
-d) 4.75 m.
-e) 5.7 m.

6. A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s2 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 = 2.7 s?

+a) 40.85 degrees.
-b) 46.98 degrees.
-c) 54.03 degrees.
-d) 62.13 degrees.
-e) 71.45 degrees.

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 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

-a) 0.43 s.
+b) 0.52 s.
-c) 0.62 s.
-d) 0.75 s.
-e) 0.9 s.

8. 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 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

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

+ a) the cloth is accelerating for such a brief time that there is little motion
- b) the cloth is more slippery when it is pulled quickly
- c) objects don't begin to accelerate until after the force has been applied

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

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

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

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

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

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

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

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

14. 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) southwest
- c) south
+ d) northwest
- e) north

15. 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) southwest
+ b) northeast
- c) south
- d) northwest
- e) north

16. 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) north
- b) northeast
- c) northeast
- d) northwest
- e) southeast

17. 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) south
- b) northeast
- c) northwest
+ d) north
- e) southwest

18. 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) south
- b) west
+ c) southwest
- d) northwest
- e) southeast

19. 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) south
- b) northwest
- c) northeast
+ d) southeast
- e) north

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

- a) zero
- b) to the west
+ c) to the east

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

- a) to the east
+ b) to the west
- c) zero

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

- a) zero
+ b) to the east
- c) to the west

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

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

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

- a) north
+ b) west
- c) zero
- d) south
- e) east

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

- a) north
- b) zero
- c) south
+ d) east
- e) west

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

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

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

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

28. A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

-a) 27.11 N.
-b) 31.17 N.
+c) 35.85 N.
-d) 41.23 N.
-e) 47.41 N.

29. A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 41.9N at an angle of 42 degress above the horizontal. What is the normal force?

-a) 18.94 N.
-b) 21.78 N.
-c) 25.05 N.
+d) 28.8 N.
-e) 33.12 N.

30. 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

31. 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/s2?

-a) 53.3 degrees
-b) 61.3 degrees
+c) 70.5 degrees
-d) 81.1 degrees
-e) 93.3 degrees

32. 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.

33. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

34. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

35. A mass with weight (mg) 6 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 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52
+b) 0.63
-c) 0.76
-d) 0.91
-e) 1.09

36. A merry-go-round has an angular frequency, $\omega$ , equal to 0.16 rad/sec. How many minutes does it take to complete 9.5 revolutions?

-a) 5.41 minutes.
+b) 6.22 minutes.
-c) 7.15 minutes.
-d) 8.22 minutes.
-e) 9.46 minutes.

37. A merry-go round has a period of 0.22 minutes. What is the centripetal force on a 96.9 kg person who is standing 1.95 meters from the center?

-a) 32.4 newtons.
-b) 37.2 newtons.
+c) 42.8 newtons.
-d) 49.2 newtons.
-e) 56.6 newtons.

38. A merry-go round has a period of 0.26 minutes. What is the minimum coefficient of static friction that would allow a 53.3 kg person to stand1.35 meters from the center, without grabbing something?

-a) 0.019
+b) 0.022
-c) 0.026
-d) 0.03
-e) 0.034

39. What is the gravitational acceleration on a plant that is 1.83 times more massive than Earth, and a radius that is 1.38 times greater than Earths?

-a) 8.2 m/s2
+b) 9.4 m/s2
-c) 10.8 m/s2
-d) 12.5 m/s2
-e) 14.3 m/s2

40. What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 1.83 times greater than Earth's?

-a) 19.2 m/s2
+b) 22.1 m/s2
-c) 25.4 m/s2
-d) 29.2 m/s2
-e) 33.5 m/s2

41. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

42. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
+ c) 1.97 m
- d) 2.11 m
- e) 2.26 m

43. 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) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

44. Integrate the line integral of, ${\vec {F}}=6.9xy{\hat {x}}+5.5y^{3}{\hat {y}}$ , along the y axis from y = 7 to y = 18

+ a) 1.41E+05
- b) 1.51E+05
- c) 1.61E+05
- d) 1.73E+05
- e) 1.85E+05

45. Integrate the function, ${\vec {F}}=r^{7}\theta ^{3}{\hat {r}}+r^{4}\theta ^{7}{\hat {\theta }}$ , along the first quadrant of a circle of radius 3

- a) 1.05E+03
+ b) 1.13E+03
- c) 1.20E+03
- d) 1.29E+03
- e) 1.38E+03

46. Integrate the line integral of ${\vec {F}}=2xy{\hat {x}}+9.5x{\hat {y}}$ from the origin to the point at x = 2.1 and y = 3.8

+ a) 4.91E+01
- b) 5.25E+01
- c) 5.62E+01
- d) 6.01E+01
- e) 6.43E+01

47. Integrate the function, ${\vec {F}}=-x^{4}y^{2}{\hat {x}}+x^{3}y^{4}{\hat {y}}$ , as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- a) 3.74E-01
+ b) 4.00E-01
- c) 4.28E-01
- d) 4.58E-01
- e) 4.90E-01

48. On object of mass 2 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 25 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.29m/s.
-b) 1.54m/s.
+c) 1.85m/s.
-d) 2.22m/s.
-e) 2.67m/s.

49. 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

50. A 169 gm bullet strikes a ballistic pendulum of mass 2.45 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
+a) 55 m/s.
-b) 59 m/s.
-c) 63 m/s.
-d) 68 m/s.
-e) 73 m/s.

51. A car with a tire radius of 0.34 m accelerates from 0 to 25 m/s in 9.2 seconds. What is the angular acceleration of the wheel?

-a) 5.45 x 100 m
-b) 6.6 x 100 m
+c) 7.99 x 100 m
-d) 9.68 x 100 m
-e) 1.17 x 101 m

52. 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

53. 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

54. The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 5.2 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.47 m. If a force of 53 N is applied at the rim of the smaller disk, what is the angular acceleration?
-a) 1.48 x 101 s-2
+b) 1.8 x 101 s-2
-c) 2.18 x 101 s-2
-d) 2.64 x 101 s-2
-e) 3.19 x 101 s-2

55. 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

56. 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 buoyant force?

- 5.56E3 N
+ 6.74E3 N
- 8.16E3 N
- 9.89E3 N
- 1.20E4 N

57. 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 water at the top surface?

- 7.12E3 N
- 8.96E3 N
- 1.13E4 N
+ 1.42E4 N
- 1.79E4 N

58. A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- 1.44E4 Pa
+ 1.81E4 Pa
- 2.28E4 Pa
- 2.87E4 Pa
- 3.62E4 Pa

59. 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

60. 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). What is the pressure difference (in Pascals) between the two regions of the pipe?

+a) 6.00E4
-b) 7.27E4
-c) 8.81E4
-d) 1.07E5
-e) 1.29E5

61. 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). If two fluid elements at the center of the pipe are separated by 37.0 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) 9.34E2 mm
+b) 1.13E3 mm
-c) 1.37E3 mm
-d) 1.66E3 mm
-e) 2.01E3 mm

62. A large cylinder is filled with water so that the bottom is 8.0 m below the waterline. At the bottom is a small hole with a diameter of 9.1E-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) 7.04E0 m/s
-b) 8.53E0 m/s
-c) 1.03E1 m/s
+d) 1.25E1 m/s
-e) 1.52E1 m/s

63. 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. How much heat does it take to raise both from 54.4 C to 78.1 C?

-a) 2.43 x 104 J
-b) 2.86 x 104 J
-c) 3.38 x 104 J
-d) 3.98 x 104 J
+e) 4.69 x 104 J

64. 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

65. {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. 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) 5.43 x 100 km
-b) 6.58 x 100 km
-c) 7.97 x 100 km
-d) 9.66 x 100 km
-e) 1.17 x 101 km

66. A window is square, with a length of each side equal to 0.81 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 1.24. You also increase the thickness of the glass by a factor of 2.15. 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) 1.53 x 100 unit
-b) 1.86 x 100 unit
-c) 2.25 x 100 unit
-d) 2.73 x 100 unit
+e) 3.31 x 100 unit

67. 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

68. A 1241 heat cycle uses 2.4 moles of an ideal gas. The pressures and volumes are: P1= 2.1 kPa, P2= 3.2 kPa. The volumes are V1= 1.1m3 and V4= 2.2m3. How much work is involved between 1 and 4?
-a) 2.31 x 102 J
-b) 7.3 x 102 J
+c) 2.31 x 103 J
-d) 7.3 x 103 J
-e) 2.31 x 104 J

69. 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

70. A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P1= 2.6 kPa, P2= 4.9 kPa. The volumes are V1= 1.2m3 and V4= 3.5m3. What is the temperature at step 4?
-a) 5.47 x 101 K
-b) 1.73 x 102 K
+c) 5.47 x 102 K
-d) 1.73 x 103 K
-e) 5.47 x 103 K

71. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?

- a) v(t) = -21sin(3t-π/6)
- b) v(t) = -21cos(3t-π/6)
- c) v(t) = 7cos(3t-π/6)
+ d) v(t) = 21cos(3t-π/6)
- e) v(t) = 21sin(3t-π/6)

72. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the acceleration?

- a) a(t) = -21cos(3t-π/6)
- b) a(t) = -21sin(3t-π/6)
- c) a(t) = +21sin(3t-π/6)
- d) a(t) = +63sin(3t-π/6)
+ e) a(t) = -63sin(3t-π/6)

73. If a particle's position is given by x(t) = 5cos(4t-π/6), what is the velocity?

- a) v(t) = -20cos(4t-π/6)
- b) v(t) = 20sin(4t-π/6)
+ c) v(t) = -20sin(4t-π/6)
- d) v(t) = 20cos(4t-π/6)
- e) v(t) = 5sin(4t-π/6)

74. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the velocity?

+ a) v(t) = 20cos(4t-π/6)
- b) v(t) = -20cos(4t-π/6)
- c) v(t) = -20sin(4t-π/6)
- d) v(t) = 5cos(4t-π/6)
- e) v(t) = 20sin(4t-π/6)

75. If a particle's position is given by x(t) = 7cos(3t-π/6), what is the velocity?

- a) v(t) = -21cos(3t-π/6)
+ b) v(t) = -21sin(3t-π/6)
- c) v(t) = 7sin(3t-π/6)
- d) v(t) = 21sin(3t-π/6)
- e) v(t) = 21cos(3t-π/6)

76. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the acceleration?

- a) a(t) = +20sin(4t-π/6)
- b) a(t) = -100sin(4t-π/6)
- c) a(t) = -100cos(4t-π/6)
+ d) a(t) = -80sin(4t-π/6)
- e) a(t) = +80sin(4t-π/6)

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