College Physics 4th Edition by Knight - Test Bank

College Physics 4th Edition by Knight – Test Bank

 

Instant Download – Complete Test Bank With Answers

 

 

Sample Questions Are Posted Below

 

Chapter 05

Circular Motion

 

Multiple Choice Questions

1. An object is moving in a circular path with a radius of 4.00 m. If the object moves through an angle of 45.0 degrees, then the angle is
   A.0.25 radians.
   B. 0.53 radians.
   C. 0.79 radians.
   D. 1.02 radians.
   E. 1.44 radians.

 

Section: 05.01 Description of Uniform Circular Motion

2. An object is moving in a circular path with a radius of 5.00 m. If the object moves through an angle of 270 degrees, then the tangential distance traveled by the object is
   A.4.71 m.
   B. 15.2 m.
   C. 23.6 m.
   D. 40.2 m.

 

Section: 05.01 Description of Uniform Circular Motion

3. An object is moving in a circular path of radius R. If the object moves through an angle of 30.0 degrees, then the angle is
   A.0.22 radians.
   B. 0.52 radians.
   C. 0.75 radians.
   D. 1.30 radians.
   E. 1.75 radians.

 

Section: 05.01 Description of Uniform Circular Motion

 

4. An object is moving in a circular path of radius 4.00 m. If the object moves through an angle of 30.0 degrees, then the tangential distance traveled by the object is
   A.3.66 m.
   B. 3.21 m.
   C. 2.84 m.
   D. 2.09 m.
   E. 1.75 m.

 

Section: 05.01 Description of Uniform Circular Motion

5. An object is moving in a circular path of radius 4.00 m. If the object moves through an angle of 1.2 radians, then the tangential distance traveled by the object is
   A.2.8 m.
   B. 3.2 m.
   C. 3.8 m.
   D. 4.3 m.
   E. 4.8 m.

 

Section: 05.01 Description of Uniform Circular Motion

6. An object is moving in a circular path of radius 4.00 m. If the object moves through a tangential distance of 3.00 meters, then the angle the object travels through is
   A.0.750 radians.
   B. 1.05 radians.
   C. 1.46 radians.
   D. 1.75 radians.
   E. 1.90 radians.

 

Section: 05.01 Description of Uniform Circular Motion

 

7. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 20.0 radians per seconds, then the period of the rotational motion is
   A.0.143 s.
   B. 0.224 s.
   C. 0.314 s.
   D. 0.421 s.
   E. 0.558 s.

 

Section: 05.01 Description of Uniform Circular Motion

8. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 20.0 radians per seconds, then the frequency of the rotational motion is
   A.2.14 Hz.
   B. 3.18 Hz.
   C. 3.83 Hz
   D. 4.50 Hz.
   E. 4.89 Hz.

 

Section: 05.01 Description of Uniform Circular Motion

9. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 20.0 radians per seconds, then the period of the rotational motion is
   A.0.314 s.
   B. 0.441 s.
   C. 0.582 s.
   D. 0.698 s.
   E. 0.750 s.

 

Section: 05.01 Description of Uniform Circular Motion

 

10. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 20.0 radians per seconds, then the frequency of the rotational motion is
    A.4.00 Hz.
    B. 3.67 Hz.
    C. 3.18 Hz.
    D. 2.83 Hz.
    E. 2.15 Hz.

 

Section: 05.01 Description of Uniform Circular Motion

11. An object moving in a circle at a constant speed is
    A.accelerating in the direction of motion.
    B. accelerating toward the center of the circle.
    C. accelerating away from the center of the circle.
    D. not accelerating because its speed is constant.

 

Section: 05.01 Description of Uniform Circular Motion

12. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 200 revolutions per minute, then the tangential velocity of a point on the circumference is
    A.1.06 m/s.
    B. 1.26 m/s.
    C. 1.39 m/s.
    D. 1.62 m/s.
    E. 1.32 m/s.

 

Section: 05.01 Description of Uniform Circular Motion

 

13. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 20 radians per seconds, then the tangential velocity of a point on the circumference is
    A.2.0 m/s.
    B. 1.9 m/s.
    C. 1.5 m/s.
    D. 1.2 m/s.
    E. 1.0 m/s.

 

Section: 05.01 Description of Uniform Circular Motion

14. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant frequency of 4.00 cycles per second, then the period of the rotational motion is
    A.0.250 s.
    B. 0.500 s.
    C. 0.750 s.
    D. 1.00 s.
    E. 1.25 s.

 

Section: 05.01 Description of Uniform Circular Motion

15. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant frequency of 4.00 cycles per second, then the tangential velocity of a point on the circumference is
    A.1.25 m/s.
    B. 1.31 m/s.
    C. 1.51 m/s.
    D. 1.82 m/s.
    E. 2.00 m/s.

 

Section: 05.01 Description of Uniform Circular Motion

 

16. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant frequency of 6.00 cycles per second, then the angular velocity is
    A.21.5 rad/s.
    B. 26.9 rad/s.
    C. 29.6 rad/s.
    D. 33.3 rad/s.
    E. 37.7 rad/s.

 

Section: 05.01 Description of Uniform Circular Motion

17. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 200 revolutions per minute, then the tangential velocity of a point on the circumference is
    A.1.76 m/s.
    B. 1.54 m/s.
    C. 1.41 m/s
    D. 1.26 m/s.
    E. 1.07 m/s.

 

Section: 05.01 Description of Uniform Circular Motion

18. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 25 radians per seconds, then the tangential velocity of a point on the circumference is
    A.1.0 m/s.
    B. 1.5 m/s.
    C. 2.0 m/s.
    D. 2.5 m/s.
    E. 3.0 m/s.

 

Section: 05.01 Description of Uniform Circular Motion

 

19. A 4.00 kg mass is moving in a circular path of radius 2.50 m with a constant angular velocity of 5.00 rad/sec. The centripetal force on the mass is
    A.250 N.
    B. 185 N.
    C. 153 N.
    D. 107 N.
    E. 94.0 N.

 

Section: 05.02 Radial Acceleration

20. A 4.0 kg mass is moving in a circular path of radius 2.5 m with a constant tangential velocity of 5.0 m/sec. The centripetal force on the mass is
    A.20 N.
    B. 25 N.
    C. 35 N.
    D. 40 N.
    E. 45 N.

 

Section: 05.02 Radial Acceleration

21. A 4.00 kg mass is moving in a circular path with a constant angular velocity of 5.00 rad/sec and with a tangential velocity of 5.00 m/sec. The centripetal force on the mass is
    A.90.0 N.
    B. 100 N.
    C. 125 N.
    D. 169 N.
    E. 200 N.

 

Section: 05.02 Radial Acceleration

 

22. A 4.00 kg mass is moving in a circular path of radius 4.10 m with a constant angular velocity of 5.00 rad/sec. The centripetal force on the mass is
    A.267 N.
    B. 294 N.
    C. 302 N.
    D. 350 N.
    E. 410 N.

 

Section: 05.02 Radial Acceleration

23. A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant tangential velocity of 6.20 m/sec. The centripetal force on the mass is
    A.40.2 N.
    B. 48.1 N.
    C. 50.5 N.
    D. 59.0 N.
    E. 62.3 N.

 

Section: 05.02 Radial Acceleration

24. A 2.60 kg mass is moving in a circular path with a constant angular velocity of 5.50 rad/sec and with a tangential velocity of 3.50 m/sec. The centripetal force on the mass is
    A.30.4 N.
    B. 40.5 N.
    C. 50.1 N.
    D. 60.5 N.
    E. 66.7 N.

 

Section: 05.02 Radial Acceleration

 

25. A 0.500 kg stone is moving in a vertical circular path attached to a string that is 75.0 cm long. The stone is moving around the path at a constant frequency of 1.50 rev/sec. At the moment the stone is overhead, the stone is released. The velocity of the stone when it leaves the circular path is
    A.5.55 m/s.
    B. 7.07 m/s.
    C. 7.75 m/s.
    D. 8.35 m/s.
    E. 9.00 m/s.

 

Section: 05.02 Radial Acceleration

26. A 0.500 kg stone is moving in a vertical circular path attached to a string that is 75.0 cm long. The stone is moving around the path at a constant frequency of 2.20 rev/sec. At the moment the stone is overhead, the stone is released. The magnitude and direction of the velocity of the stone when it leaves the circular path is
    A.10.4 m/s horizontal.
    B. 10.4 m/s vertical.
    C. 22.0 m/s horizontal.
    D. 22.0 m/s vertical.
    E. 31.4 m/s horizontal.

 

Section: 05.02 Radial Acceleration

27. A conical pendulum is constructed with a string 2.5 m in length. The pendulum is set in horizontal circular path about the vertical axis. If the angular velocity of the conical pendulum is a constant 2.8 rad/s, then the angle the string makes with the vertical axis is
    A.48 degrees.
    B. 60 degrees.
    C. 71 degrees.
    D. 75 degrees.
    E. 80 degrees.

 

Section: 05.02 Radial Acceleration

 

28. A conical pendulum is constructed with a string 2.00 m in length. The pendulum is set in horizontal circular path the vertical axis. If the angle the string makes with the vertical axis is 45.0 degrees, then the angular velocity of the conical pendulum is
    A.4.00 rad/s.
    B. 3.55 rad/s.
    C. 3.04 rad/s.
    D. 2.63 rad/s.
    E. 2.01 rad/s.

 

Section: 05.02 Radial Acceleration

29. A 2000 kg car is traveling on a banked curved icy road. The road is banked at an angle of 12.0 degrees and has a radius of curvature of 500 m. The velocity of the car necessary to travel on the icy road without sliding is
    A.32.3 m/s.
    B. 40.5 m/s.
    C. 42.8 m/s.
    D. 49.5 m/s.
    E. 50.2 m/s.

 

Section: 05.03 Unbanked and Banked Curves

30. A 2000 kg car is traveling on a banked curved icy road. The velocity of the car is 25.0 m/s and the road has a radius of curvature of 500 m. If the car is to travel on the icy road without sliding, then the angle of the banked road is
    A.25.7 degrees.
    B. 21.0 degrees.
    C. 12.7 degrees.
    D. 10.5 degrees.
    E. 7.27 degrees.

 

Section: 05.03 Unbanked and Banked Curves

 

31. A 2000 kg car is traveling on a banked curved icy road without sliding. The velocity of the car is 30 m/s and the road is banked at an angle of 20.0 degrees. The radius of curvature of the road is
    A.175 m.
    B. 204 m.
    C. 252 m.
    D. 302 m.
    E. 375 m.

 

Section: 05.03 Unbanked and Banked Curves

32. An airplane is traveling at 150 m/s in level flight. If the airplane is to make a change in direction, it must travel in a horizontal curved path. To fly in the curved path, the pilot banks the airplane at an angle such that the lift has a horizontal component that provides the horizontal centripetal acceleration to move in a horizontal circular path. If the airplane is banked at an angle of 12.0 degrees, then the radius of curvature of the curved path of the airplane is
    A. 10.8 km.
    B.  8.74 km.
    C.  8.00 km.
    D.  7.33 km.
    E.  6.90 km.

 

Section: 05.03 Unbanked and Banked Curves

33. A 2000 kg car is traveling on a banked curved icy road without sliding. The velocity of the car is 32.0 m/s and the road is banked at an angle of 20.0 degrees. The radius of curvature of the road is
    A.125 m.
    B. 210 m.
    C. 287 m.
    D. 310 m.
    E. 350 m.

 

Section: 05.03 Unbanked and Banked Curves

 

34. An airplane is traveling at 250 m/s in level flight. If the airplane is to make a change in direction, it must travel is a horizontal curved path. To fly in the curved path, the pilot banks the airplane at an angle such that the lift has a horizontal component that provides the horizontal centripetal acceleration to move in a horizontal circular path. If the airplane is banked at an angle of 15.0 degrees, then the radius of curvature of the curved path of the airplane is
    A.20.1 km.
    B. 23.8 km.
    C. 25.0 km.
    D. 27.5 km.
    E. 30.1 km.

 

Section: 05.03 Unbanked and Banked Curves

35. A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The velocity of the satellite is (Me = 5.98 ´ 10²⁴ kg, Re = 6.37 ´ 10⁶ m, G = 6.67 ´ 10^-11 N·m²/kg²)
    A.7,460 m/s.
    B. 6,830 m/s.
    C. 6,430 m/s.
    D. 5,950 m/s.
    E. 5,350 m/s.

 

Section: 05.04 Circular Orbits of Satellites and Planets

36. A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The time it takes for the satellite to travel around the Earth is (Me = 5.98 ´ 10²⁴ kg, Re = 6.37 ´ 10⁶ m, G = 6.67 ´ 10^-11 N·m²/kg²)
    A.0.750 hours.
    B. 0.950 hours.
    C. 1.25 hours.
    D. 1.68 hours.
    E. 2.01 hours.

 

Section: 05.04 Circular Orbits of Satellites and Planets

 

37. A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The angular velocity of the satellite as it orbits the Earth is (Me = 5.98 ´ 10²⁴ kg, Re = 6.37 ´ 10⁶ m, G = 6.67 ´ 10^-11 N·m²/kg²)
    A.9.50 ´ 10^-4 rad/s.
    B. 1.04 ´ 10^-3 rad/s.
    C. 1.44 ´ 10^-3 rad/s.
    D. 1.90 ´ 10^-3 rad/s.
    E. 2.20 ´ 10^-3 rad/s.

 

Section: 05.04 Circular Orbits of Satellites and Planets

38. A 5,000 kg satellite is orbiting the Earth in a geostationary orbit. The height of the satellite above the surface of the Earth is (Me = 5.98 ´ 10²⁴ kg, Re = 6.37 ´ 10⁶ m, G = 6.67 ´ 10^-11 N·m²/kg²)
    A.8.29 ´ 10⁷ m.
    B. 6.35 ´ 10⁷ m.
    C. 3.59 ´ 10⁷ m.
    D. 2.95 ´ 10⁷ m.
    E. 1.40 ´ 10⁷ m.

 

Section: 05.04 Circular Orbits of Satellites and Planets

39. Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete one orbit?
    A.320 days
    B. 160 days
    C. 20 days
    D. 80 days

 

Section: 05.04 Circular Orbits of Satellites and Planets

 

40. A 1.00 kg stone attached to a 1.00 m long string is traveling in a vertical circular orbit. What is the minimum tangential velocity at the top of the vertical circular orbit to keep the string from going slack?
    A.5.63 m/s
    B. 5.31 m/s
    C. 5.00 m/s
    D. 4.50 m/s
    E. 3.13 m/s

 

Section: 05.05 Nonuniform Circular Motion

41. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the tangential velocity of a point 4.0 cm from the center at the time 2.0 seconds from the start?
    A.0.060 m/s
    B. 0.080 m/s
    C. 0.10 m/s
    D. 0.14 m/s
    E. 0.18 m/s

 

Section: 05.05 Nonuniform Circular Motion

42. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the centripetal acceleration of a point 4.0 cm from the center at the time 2.0 seconds from the start?
    A.0.37 m/s²
    B. 0.30 m/s²
    C. 0.28 m/s²
    D. 0.21 m/s²
    E. 0.16 m/s²

 

Section: 05.05 Nonuniform Circular Motion

 

43. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the angular distance traveled by a point 4.0 cm from the center, at the time 2.0 seconds from the start?
    A.2.0 rad
    B. 4.0 rad
    C. 6.0 rad
    D. 8.0 rad
    E. 10.0 rad

 

Section: 05.05 Nonuniform Circular Motion

44. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the centripetal acceleration of a point 4.0 cm from the center at the time 10.0 seconds from the start?
    A.2.0 m/s²
    B. 1.8 m/s²
    C. 1.0 m/s²
    D. 0.9 m/s²
    E. 0.6 m/s²

 

Section: 05.05 Nonuniform Circular Motion

45. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the angular distance traveled by a point 4.00 cm from the center, at the time 10.0 seconds from the start?
    A.27.6 rad
    B. 37.5 rad
    C. 40.7 rad
    D. 48.2 rad
    E. 51.2 rad

 

Section: 05.05 Nonuniform Circular Motion

 

46. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the tangential velocity of a point 4.0 cm from the center at the time 10.0 seconds from the start?
    A.0.50 rad/s
    B. 0.40 rad/s
    C. 0.30 rad/s
    D. 0.20 rad/s
    E. 0.10 rad/s

 

Section: 05.05 Nonuniform Circular Motion

47. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the centripetal acceleration of a point 4.0 cm from the center at the time 25.0 seconds from the start?
    A.0.47 m/s²
    B. 0.40 m/s²
    C. 0.34 m/s²
    D. 0.24 m/s²
    E. 0.20 m/s²

 

Section: 05.05 Nonuniform Circular Motion

48. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the angular distance traveled by a point 4.00 cm from the center, at the time 25.0 seconds from the start?
    A.107 rad
    B. 193 rad
    C. 205 rad
    D. 237 rad
    E. 274 rad

 

Section: 05.05 Nonuniform Circular Motion

 

49. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the tangential velocity of a point 4.0 cm from the center at the time 25.0 seconds from the start?
    A.5.2 ´ 10^-3 m/s
    B. 6.7 ´ 10^-3 m/s
    C. 7.2 ´ 10^-3 m/s
    D. 8.5 ´ 10^-3 m/s
    E. 9.7 ´ 10^-3 m/s

 

Section: 05.05 Nonuniform Circular Motion

50. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec² acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the centripetal acceleration of a point 4.0 cm from the center at the time 15.0 seconds from the start?
    A.0.5 m/s²
    B. 1.0 m/s²
    C. 1.8 m/s²
    D. 2.0 m/s²
    E. 2.6 m/s²

 

Section: 05.05 Nonuniform Circular Motion

51. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the angular distance traveled by a point 4.00 cm from the center, at the time 10.0 seconds from the start?
    A.20.8 radians
    B. 26.3 radians
    C. 37.5 radians
    D. 41.6 radians
    E. 47.3 radians

 

Section: 05.05 Nonuniform Circular Motion

 

52. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the total acceleration of a point 4.00 cm from the center at the time 2.00 seconds from the start?
    A.0.450 m/s²
    B. 0.314 m/s²
    C. 0.215 m/s²
    D. 0.165 m/s²
    E. 0.100 m/s²

 

Section: 05.05 Nonuniform Circular Motion

53. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the total acceleration of a point 4.00 cm from the center at the time 10.0 seconds from the start?
    A.0.65 m/s²
    B. 1.00 m/s²
    C. 1.25 m/s²
    D. 1.37 m/s²
    E. 1.86 m/s²

 

Section: 05.05 Nonuniform Circular Motion

54. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec² acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the total acceleration of a point 4.00 cm from the center at the time 30.0 seconds from the start?
    A.0.0650 m/s²
    B. 0.0522 m/s²
    C. 0.0444 m/s²
    D. 0.0324 m/s²
    E. 0.0243 m/s²

 

Section: 05.05 Nonuniform Circular Motion

 

55. A 2.00 kg mass is moving in a circular path with a radius of 5.00 cm. The mass starts from rest and with constant angular acceleration, obtains an angular velocity of 6.00 rad/sec in 3.00 sec. The mass then comes to a stop with constant deceleration in 4.00 sec. The centripetal component of acceleration of the mass at 2.00 sec is
    A.1.220 m/s².
    B. 0.980 m/s².
    C. 0.806 m/s².
    D. 0.656 m/s².
    E. 0.520 m/s².

 

Section: 05.05 Nonuniform Circular Motion

56. A 2.0 kg mass is moving in a circular path with a radius of 5.00 cm. The mass starts from rest and with constant angular acceleration, obtains an angular velocity of 6.00 rad/sec in 3.00 sec. The mass then comes to a stop with constant angular deceleration in 4.00 sec. The centripetal component of acceleration of the mass at 5.00 sec after the start is
    A.2.50 m/s².
    B. 2.03 m/s².
    C. 1.25 m/s².
    D. 0.980 m/s².
    E. 0.456 m/s².

 

Section: 05.05 Nonuniform Circular Motion

57. A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec², then the angular velocity of the CD after 3.0 sec is
    A.12 rad/s.
    B. 10 rad/s.
    C. 9.0 rad/s.
    D. 8.0 rad/s.
    E. 6.0 rad/s.

 

Section: 05.06 Tangential and Angular Acceleration

 

58. A CD has a diameter of 12.0 cm and is rotating at an angular velocity of 10.0 rad/sec. If the CD has a constant angular deceleration of -0.5 rad/sec², then the angular velocity of the CD after 3.0 sec is
    A.5.7 rad/s.
    B. 6.2 rad/s.
    C. 7.9 rad/s.
    D. 8.5 rad/s.
    E. 9.8 rad/s.

 

Section: 05.06 Tangential and Angular Acceleration

59. A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec², then the tangential velocity of a point 3.0 cm from the center of the CD after 3.0 sec is
    A.18 cm/s.
    B. 21 cm/s.
    C. 25 cm/s.
    D. 32 cm/s.
    E. 45 cm/s.

 

Section: 05.06 Tangential and Angular Acceleration

60. A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec², then the tangential acceleration of a point 3.0 cm from the center of the CD after 3.0 sec is
    A.0.40 m/s².
    B. 0.25 m/s².
    C. 0.10 m/s².
    D. 0.06 m/s².
    E. 0.03 m/s².

 

Section: 05.06 Tangential and Angular Acceleration

 

61. A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.00 rad/sec², then the centripetal acceleration of a point 3.00 cm from the center of the CD after 3.00 sec is
    A.0.950 m/s².
    B. 1.08 m/s².
    C. 1.25 m/s².
    D. 1.58 m/s².
    E. 1.83 m/s².

 

Section: 05.06 Tangential and Angular Acceleration

62. A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 0.600 rad/sec², then the total acceleration of a point 3.00 cm from the center of the CD after 1.30 sec is
    A.0.0256 m/s².
    B. 0.0306 m/s².
    C. 0.0415 m/s².
    D. 0.0472 m/s².
    E. 0.0502 m/s².

 

Section: 05.06 Tangential and Angular Acceleration

63. The radius of the Earth is r. A satellite of mass 100 kg is at a point 3r above the Earth’s surface. What is the satellites’ weight?
    A.6.3 N
    B. 110 N
    C. 61 N
    D. 38 N

 

Section: 05.08 Apparent Weight and Artificial Gravity

 

64. A roller coaster has a vertical loop with radius 29.5 m. What is the minimum speed of the roller coaster car can have at the top of the loop if the passengers do not lose contact with the seats?
    A. 10.0 m/s
    B.  14.0 m/s
    C.  17.0 m/s
    D.  19.0 m/s

 

Section: 05.08 Apparent Weight and Artificial Gravity

65. When a girl swings in a tire swing, the tangential acceleration in the rope
    A. is the greatest at the highest point of the motion.
    B.  is the greatest at the lowest point of the motion.
    C.  is the greatest at a point neither highest nor lowest.
    D.  is constant.

 

Section: 05.08 Apparent Weight and Artificial Gravity

66. A 35.0 kg child swings on a rope with a length of 6.50 m that is hanging from a tree. At the bottom of the swing the child is moving at a speed of 4.20 m/s. What is the tension in the rope?
    A. 95.0 N
    B.  438 N
    C.  343 N
    D.  366 N

 

Section: 05.08 Apparent Weight and Artificial Gravity

67. Two objects attract each other gravitationally. If the distance between their centers doubles, the gravitational force
    A.is a half.
    B. doubles.
    C. is a fourth.
    D. quadruples.

 

Section: 05.08 Apparent Weight and Artificial Gravity

 

68. A 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth. A 3.00 gram marble is dropped inside the satellite. What is the force of gravity on the marble as viewed by the observers on the Earth? (Me = 5.98 ´ 10²⁴ kg, Re = 6.37 ´ 10⁶ m, G = 6.67 ´ 10^-11 N·m²/kg²)
    A.0.405 N
    B. 0.362 N
    C. 0.277 N
    D. 0.202 N
    E. 0.185 N

 

Section: 05.08 Apparent Weight and Artificial Gravity

69. A 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth. A 3.00 gram marble is dropped inside the satellite. What is the acceleration of the marble as viewed by the observers inside the satellite? (Me = 5.98 ´ 10²⁴ kg, Re = 6.37 ´ 10⁶ m, G = 6.67 ´ 10^-11 N·m²/kg²)
    A.0.00 m/s²
    B. 1.62 m/s²
    C. 2.64 m/s²
    D. 4.90 m/s²
    E. 9.24 m/s²

 

Section: 05.08 Apparent Weight and Artificial Gravity

70. A 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth. A 3.00 gram marble is dropped inside the satellite. What is the acceleration of the marble as viewed by the observers on the Earth? (Me = 5.98 ´ 10²⁴ kg, Re = 6.37 ´ 10⁶ m, G = 6.67 ´ 10^-11 N·m²/kg²)
    A. 9.80 m/s²
    B.  9.24 m/s²
    C.  8.90 m/s²
    D.  8.62 m/s²
    E.  7.95 m/s²

 

Section: 05.08 Apparent Weight and Artificial Gravity

 

71. A boy on a bicycle rides in a circle of radius r_o at speed v_o. If the boy rides at the same radius r_o, by what factor must he change his speed in order to triple his centripetal acceleration?
    A. 3.0
    B.  0.58
    C.  0.33
    D.  1.7
    E.  0.11
    F.  9.0

 

Section: 05.03 Unbanked and Banked Curves

72. A boy on a bicycle rides in a circle of radius r_o at speed v_o. If the boy rides at a radius equal to half the radius r_o, by what factor must he change his speed in order to have the same centripetal acceleration?
    A. 0.25
    B.  2
    C.  0.71
    D.  4
    E.  1.4
    F.  0.5

 

Section: 05.03 Unbanked and Banked Curves

73. The Crab Pulsar has a period of length 33.085 ms. It is estimated to have an equatorial radius of 15 km, about average for a neutron star. What is the value of the centripetal acceleration of an object on the surface at the equator of the pulsar?
    A. 5.4 x 10⁸ m/s²
    B.  2.7 x 10⁸ m/s²
    C.  8.9 x 10⁸ m/s²
    D.  6.7 x 10⁸ m/s²

 

Section: 05.03 Unbanked and Banked Curves

 

74. A car travels at 17m/s without skidding around a 35m radius unbanked curve.  What is the minimum value of the static friction coefficient between the tires and the road?
    A. 0.84
    B.  0.050
    C.  0.0014
    D.  0.024

 

Section: 05.03 Unbanked and Banked Curves

75. A car travels around a 35m radius unbanked curve.  The static friction coefficient between the tires and the road is 0.45.  What is the maximum speed at which the car can travel without slipping around this corner?
    A. 2.8 m/s
    B.  27.6 m/s
    C.  12.4 m/s
    D.  7.5 m/s

 

Section: 05.03 Unbanked and Banked Curves

76. A car travels around an unbanked curve at 17 m/s.  If the static friction coefficient between the tires and the road is 0.45, what is the minimum radius curve that the car can take at this speed without slipping?
    A. 65 m
    B.  3.9 m
    C.  15 m
    D.  8.1 m

 

Section: 05.03 Unbanked and Banked Curves

 

77. Two planets each travel in a circular orbit about a star at radii of r_a = 2R and r_b = R, respectively.  What is the ratio of their periods T_a/T_b?
    A. 1.6
    B.  2.8
    C.  1.3
    D.  1.4
    E.  2.0

 

Section: 05.04 Circular Orbits of Satellites and Planets

78. Two planets travel in circular orbits about a star.  The period of planet A is T, while that of planet B is 3T.  What is the ratio of the orbital radii, R_A/R_B?
    A. 0.33
    B.  0.19
    C.  0.48
    D.  0.69

 

Section: 05.04 Circular Orbits of Satellites and Planets

79. A planet of mass M orbits a star in a circular orbit of radius R, in orbital period T.  What would be the orbital period of another planet, orbiting at radius R, but having mass 2M?
    A. 0.71T
    B.  T
    C.  1.4T
    D.  2T
    E.  0.50T

 

Section: 05.04 Circular Orbits of Satellites and Planets

 

80. The Crab Pulsar has a period that is currently of length 33.085ms. It is estimated to have an equatorial radius of 15km, about average for a neutron star.  The pulsar is slowing in its rotation so that it is expected to come to rest 9.5 x 10¹⁰ s in the future. What is the value of the tangential acceleration of an object on the neutron star’s equator?
    A. 3.0 x 10^-5 m/s²
    B.  2.0 x 10^-9 m/s²
    C.  3.2 x 10^-10 m/s²
    D.  7.6 x 10^-7 m/s²
    E.  4.8 x 10^-6 m/s²

 

Section: 05.06 Angular Acceleration

81. The Crab Pulsar has a period that is currently of length 33.085ms. It is estimated to have an equatorial radius of 15km, about average for a neutron star.  The pulsar is slowing in its rotation so that it is expected to come to rest 9.5 x 10¹⁰ s in the future. What is the angular acceleration in this situation?
    A. 4.8 x 10^-6 s^-2
    B.  3.0 x 10^-5 s^-2
    C.  7.6 x 10^-7 s^-2
    D.  2.0 x 10^-9 s^-2
    E.  3.2 x 10^-10 s^-2

 

Section: 05.06 Angular Acceleration

82. A figure skater spins at the end of her routine, and slows down with an angular acceleration of 1.2 radians per second squared. If she initially spun with a period of 0.2 seconds, how many turns does she go through while slowing to a stop?
    A. 65
    B.  6
    C.  33
    D.  15

 

Section: 05.06 Angular Acceleration

 

83. At what distance from the center of the Earth would one’s weight be half that recorded on the Earth’s surface?  Let the Earth’s radius be R.
    A. 0.71R
    B.  2R
    C.  4R
    D.  1.4R

 

Section: 05.07 Apparent Weight and Artificial Gravity

84. At what distance from the center of the Earth would one’s weight be half that recorded on the Earth’s surface?  Let the Earth’s radius be R.
    A. 0.4R
    B.  0.7R
    C.  0.5R
    D.  R
    E.  1.4R
    F.  3R

 

Section: 05.07 Apparent Weight and Artificial Gravity

85. A circular space station (shaped like a big wheel) rotates 100 times in one hour.  The apparent weight of an astronaut standing on the inside surface of the outer wall is equal to her weight on earth.  How far from the axis of rotation is the inside surface of the station’s outer wall?
    A. 322 m
    B.  102 m
    C.  56 m
    D.  1012 m

 

Section: 05.07 Apparent Weight and Artificial Gravity

 

86. A circular space station (shaped like a big wheel) rotates to produce “artificial gravity”.  The apparent weight of an astronaut standing on the inside surface of the outer wall is equal to her weight on earth.  The inside surface of the outer wall of the space station is 285m from the axis of rotation.  What is the period of rotation of the station?
    A. 92 s
    B.  34 s
    C.  213 s
    D.  183 s

 

Section: 05.07 Apparent Weight and Artificial Gravity

87. An airplane flies in a semi-circular arc in order to simulate “weightlessness” for its occupants.  If the speed at which the plane flies is 750 km/hr, what is the radius of the semicircular path it flies in?
    A. 57 km
    B.  1.6 km
    C.  4.4 km
    D.  2.2 km
    E.  76 km

 

Section: 05.07 Apparent Weight and Artificial Gravity

88. An airplane flies in a semi-circular arc in order to simulate “weightlessness” for its occupants.  If the radius of the semicircular path it flies is 3500 m, what is the speed at which the plane flies?
    A. 357 m/s
    B.  580 m/s
    C.  185 m/s
    D.  1180 m/s

 

Section: 05.07 Apparent Weight and Artificial Gravity

 

89. A car travels on a road that, if viewed from the side, has a semicircular bump.  When at the top of the bump, the occupants of the car feel as though they weigh half their normal weight.  What is the speed of the car if the radius of the semicircle is 120 m?
    A. 107 m/s
    B.  53.7 m/s
    C.  34.3 m/s
    D.  24.3 m/s

 

Section: 05.07 Apparent Weight and Artificial Gravity

90. A car travels on a road that, if viewed from the side, has a semicircular dip.  When at the bottom of the dip, the occupants of the car feel as though they weigh twice their normal weight.  What is the radius of the semicircle if the speed of the car is 27 m/s?
    A. 37 m
    B.  132 m
    C.  149 m
    D.  74 m

 

Section: 05.07 Apparent Weight and Artificial Gravity