1. Final Exam Review Questions
Physics 211
Final Exam Review Questions

2. A child slides down a playground slide at constant speed
A child slides down a playground slide at constant speed. The energy transformation is
There is no transformation because energy is conserved.
STT11.1
Answer: B

3. A child slides down a playground slide at constant speed
A child slides down a playground slide at constant speed. The energy transformation is
There is no transformation because energy is conserved.
STT11.1

4. A particle moving along the x-axis experiences the force shown in the graph. If the particle has 2.0 J of kinetic energy as it passes x = 0 m, what is its kinetic energy when it reaches x = 4 m?
0.0 J
2.0 J
6.0 J
4.0 J
−2.0 J
STT11.2
Answer: C

5. A particle moving along the x-axis experiences the force shown in the graph. If the particle has 2.0 J of kinetic energy as it passes x = 0 m, what is its kinetic energy when it reaches x = 4 m?
0.0 J
2.0 J
6.0 J
4.0 J
−2.0 J
STT11.2

6. Wg is negative and WT is negative. Wg is negative and WT is positive.
A crane lowers a steel girder into place at a construction site. The girder moves with constant speed. Consider the work Wg done by gravity and the work WT done by the tension in the cable. Which of the following is correct?
Wg and WT are both zero.
Wg is negative and WT is negative.
Wg is negative and WT is positive.
Wg is positive and WT is positive.
Wg is positive and WT is negative.
STT11.3
Answer: E

7. Wg is negative and WT is negative. Wg is negative and WT is positive.
A crane lowers a steel girder into place at a construction site. The girder moves with constant speed. Consider the work Wg done by gravity and the work WT done by the tension in the cable. Which of the following is correct?
Wg and WT are both zero.
Wg is negative and WT is negative.
Wg is negative and WT is positive.
Wg is positive and WT is positive.
Wg is positive and WT is negative.
STT11.3

8. Which force does the most work?
the 10 N force
the 8 N force
the 6 N force
They all do the same  amount of work.
STT11.4
Answer: C

9. Which force does the most work?
the 10 N force
the 8 N force
the 6 N force
They all do the same  amount of work.
STT11.4

10. A particle moves along the x-axis with the potential energy shown
A particle moves along the x-axis with the potential energy shown. The force on the particle when it is at x = 4 m is
–1 N.
–2 N.
1 N.
2 N.
4 N.
STT11.5
Answer: B

11. A particle moves along the x-axis with the potential energy shown
A particle moves along the x-axis with the potential energy shown. The force on the particle when it is at x = 4 m is
–1 N.
–2 N.
1 N.
2 N.
4 N.
STT11.5

12. A child at the playground slides down a pole at constant speed
A child at the playground slides down a pole at constant speed. This is a situation in which
U ® Eth. Emech is conserved.
U ® Eth. Emech is not conserved but Esys is.
U ® Wext. Neither Emech nor Esys is conserved.
U ® K. Emech is not conserved but Esys is.
K ® Eth. Emech is not conserved but Esys is.
STT11.6
Answer: B

13. A child at the playground slides down a pole at constant speed
A child at the playground slides down a pole at constant speed. This is a situation in which
U ® Eth. Emech is conserved.
U ® Eth. Emech is not conserved but Esys is.
U ® Wext. Neither Emech nor Esys is conserved.
U ® K. Emech is not conserved but Esys is.
K ® Eth. Emech is not conserved but Esys is.
STT11.6

14. Pd > Pb > Pa > Pc Pd > Pa = Pb > Pc
Four students run up the stairs in the time shown. Rank in order, from largest to smallest, their power outputs Pa to Pd.
Pd > Pb > Pa > Pc
Pd > Pa = Pb > Pc
Pb > Pa = Pc > Pd
Pc > Pb = Pa > Pd
Pb > Pa > Pc > Pd
STT11.7
Answer: C

15. Pd > Pb > Pa > Pc Pd > Pa = Pb > Pc
Four students run up the stairs in the time shown. Rank in order, from largest to smallest, their power outputs Pa to Pd.
Pd > Pb > Pa > Pc
Pd > Pa = Pb > Pc
Pb > Pa = Pc > Pd
Pc > Pb = Pa > Pd
Pb > Pa > Pc > Pd
STT11.7

16. Rank in order, from largest to smallest, the gravitational potential energies of balls 1 to 4.
(Ug)1 > (Ug)2 = (Ug)4 > (Ug)3
(Ug)4 > (Ug)3 > (Ug)2 > (Ug)1
(Ug)1 > (Ug)2 > (Ug)3 > (Ug)4
(Ug)4 = (Ug)2 > (Ug)3 > (Ug)1
(Ug)3 > (Ug)2 = (Ug)4 > (Ug)1
STT10.1
Answer: E

17. Rank in order, from largest to smallest, the gravitational potential energies of balls 1 to 4.
(Ug)1 > (Ug)2 = (Ug)4 > (Ug)3
(Ug)4 > (Ug)3 > (Ug)2 > (Ug)1
(Ug)1 > (Ug)2 > (Ug)3 > (Ug)4
(Ug)4 = (Ug)2 > (Ug)3 > (Ug)1
(Ug)3 > (Ug)2 = (Ug)4 > (Ug)1
STT10.1

18. vC > vB > vA > vD vD > vA > vB > vC
A small child slides down the four frictionless slides A–D. Each has the same height. Rank in order, from largest to smallest, her speeds vA to vD at the bottom.
vC > vA = vB > vD
vC > vB > vA > vD
vD > vA > vB > vC
vA = vB = vC = vD
vD > vA = vB > vC
STT10.2
Answer: D

19. vC > vB > vA > vD vD > vA > vB > vC
A small child slides down the four frictionless slides A–D. Each has the same height. Rank in order, from largest to smallest, her speeds vA to vD at the bottom.
vC > vA = vB > vD
vC > vB > vA > vD
vD > vA > vB > vC
vA = vB = vC = vD
vD > vA = vB > vC
STT10.2

20. A box slides along the frictionless surface shown in the figure
A box slides along the frictionless surface shown in the figure. It is released from rest at the position shown. Is the highest point the box reaches on the other side at level a, at level b, or level c?
STT10.3
Answer: B
At level a
At level b
At level c

21. A box slides along the frictionless surface shown in the figure
A box slides along the frictionless surface shown in the figure. It is released from rest at the position shown. Is the highest point the box reaches on the other side at level a, at level b, or level c?
STT10.3
At level a
At level b
At level c

22. The graph shows force versus displacement for three springs
The graph shows force versus displacement for three springs. Rank in order, from largest to smallest, the spring constants k1, k2, and k3.
k1 > k3 > k2
k3 > k2 > k1
k1 = k3 > k2
k2 > k1 = k3
k1 > k2 > k3
STT10.4
Answer: E

23. The graph shows force versus displacement for three springs
The graph shows force versus displacement for three springs. Rank in order, from largest to smallest, the spring constants k1, k2, and k3.
k1 > k3 > k2
k3 > k2 > k1
k1 = k3 > k2
k2 > k1 = k3
k1 > k2 > k3
STT10.4

24. A spring-loaded gun shoots a plastic ball with a speed of 4 m/s
A spring-loaded gun shoots a plastic ball with a speed of 4 m/s. If the spring is compressed twice as far, the ball’s speed will be
1 m/s.
2 m/s.
4 m/s.
8 m/s.
16 m/s.
STT10.5
Answer: D

25. A spring-loaded gun shoots a plastic ball with a speed of 4 m/s
A spring-loaded gun shoots a plastic ball with a speed of 4 m/s. If the spring is compressed twice as far, the ball’s speed will be
1 m/s.
2 m/s.
4 m/s.
8 m/s.
16 m/s.
STT10.5

26. A particle with the potential energy shown in the graph is moving to the right. It has 1 J of kinetic energy at x = 1 m. Where is the particle’s turning point?
x = 1 m
x = 2 m
x = 5 m
x = 6 m
x = 7.5 m
STT10.6
Answer: D

27. A particle with the potential energy shown in the graph is moving to the right. It has 1 J of kinetic energy at x = 1 m. Where is the particle’s turning point?
x = 1 m
x = 2 m
x = 5 m
x = 6 m
x = 7.5 m
STT10.6

28. The cart’s change of momentum is
30 kg m/s.
10 kg m/s.
–10 kg m/s.
–20 kg m/s.
–30 kg m/s.
STT9.1
Answer: A

29. The cart’s change of momentum is
30 kg m/s.
10 kg m/s.
–10 kg m/s.
–20 kg m/s.
–30 kg m/s.
STT9.1

30. They exert equal impulses because they have equal momenta.
A 10 g rubber ball and a 10 g clay ball are thrown at a wall with equal speeds. The rubber ball bounces, the clay ball sticks. Which ball exerts a larger impulse on the wall?
They exert equal impulses because  they have equal momenta.
The clay ball exerts a larger impulse  because it sticks.
Neither exerts an impulse on the wall  because the wall doesn’t move.
The rubber ball exerts a larger  impulse because it bounces.
STT9.2
Answer: D

31. They exert equal impulses because they have equal momenta.
A 10 g rubber ball and a 10 g clay ball are thrown at a wall with equal speeds. The rubber ball bounces, the clay ball sticks. Which ball exerts a larger impulse on the wall?
They exert equal impulses because  they have equal momenta.
The clay ball exerts a larger impulse  because it sticks.
Neither exerts an impulse on the wall  because the wall doesn’t move.
The rubber ball exerts a larger  impulse because it bounces.
STT9.2

32. vA > vC vA < vC vA = vC
Objects A and C are made of different materials, with different “springiness,” but they have the same mass and are initially at rest. When ball B collides with object A, the ball ends up at rest. When ball B is thrown with the same speed and collides with object C, the ball rebounds to the left. Compare the velocities of A and C after the collisions. Is vA greater than, equal to, or less than vC?
vA > vC
vA < vC
vA = vC
STT9.3
Answer: B

33. vA > vC vA < vC vA = vC
Objects A and C are made of different materials, with different “springiness,” but they have the same mass and are initially at rest. When ball B collides with object A, the ball ends up at rest. When ball B is thrown with the same speed and collides with object C, the ball rebounds to the left. Compare the velocities of A and C after the collisions. Is vA greater than, equal to, or less than vC?
vA > vC
vA < vC
vA = vC
STT9.3

34. vf is greater than v2, but less than v1. vf = v1.
The two particles are both moving to the right. Particle 1 catches up with particle 2 and collides with it. The particles stick together and continue on with velocity vf. Which of these statements is true?
vf = v2.
vf is less than v2.
vf is greater than v2, but less than v1.
vf = v1.
vf is greater than v1.
STT9.5
Answer: C

35. vf is greater than v2, but less than v1. vf = v1.
The two particles are both moving to the right. Particle 1 catches up with particle 2 and collides with it. The particles stick together and continue on with velocity vf. Which of these statements is true?
vf = v2.
vf is less than v2.
vf is greater than v2, but less than v1.
vf = v1.
vf is greater than v1.
STT9.5

36. An explosion in a rigid pipe shoots out three pieces
An explosion in a rigid pipe shoots out three pieces. A 6 g piece comes out the right end. A 4 g piece comes out the left end with twice the speed of the 6 g piece. From which end does the third piece emerge?
Right end
Left end
STT9.4
Answer: A

37. An explosion in a rigid pipe shoots out three pieces
An explosion in a rigid pipe shoots out three pieces. A 6 g piece comes out the right end. A 4 g piece comes out the left end with twice the speed of the 6 g piece. From which end does the third piece emerge?
Right end
Left end
STT9.4

38. This acceleration will cause the particle to
STT6.1
Answer: A
slow down and curve downward.
slow down and curve upward.
speed up and curve downward.
speed up and curve upward.
move to the right and down.

39. This acceleration will cause the particle to
STT6.1
slow down and curve downward.
slow down and curve upward.
speed up and curve downward.
speed up and curve upward.
move to the right and down.

40. (ar)b > (ar)e > (ar)a > (ar)d > (ar)c
Rank in order, from largest to smallest, the centripetal accelerations (ar)ato (ar)e of particles a to e.
(ar)b > (ar)e > (ar)a > (ar)d > (ar)c
(ar)b > (ar)e > (ar)a = (ar)c > (ar)d
(ar)b = (ar)e > (ar)a = (ar)c > (ar)d
(ar)b > (ar)a = (ar)c = (ar)e > (ar)d
(ar)b > (ar)a = (ar)a > (ar)e > (ar)d
STT7.2
Answer: B

41. (ar)b > (ar)e > (ar)a > (ar)d > (ar)c
Rank in order, from largest to smallest, the centripetal accelerations (ar)ato (ar)e of particles a to e.
(ar)b > (ar)e > (ar)a > (ar)d > (ar)c
(ar)b > (ar)e > (ar)a = (ar)c > (ar)d
(ar)b = (ar)e > (ar)a = (ar)c > (ar)d
(ar)b > (ar)a = (ar)c = (ar)e > (ar)d
(ar)b > (ar)a = (ar)a > (ar)e > (ar)d
STT7.2

42. Tb > Ta > Td > Tc > Te Te > Tc = Td > Ta = Tb
A block on a string spins in a horizontal circle on a frictionless table. Rank order, from largest to smallest, the tensions Ta to Te acting on blocks a to e.
Tb > Ta > Td > Tc > Te
Te > Tc = Td > Ta = Tb
Te > Td > Tc > Tb > Ta
Td > Tb = Te > Tc > Ta
Td > Tb > Te > Tc > Ta
STT7.3
Answer: D

43. Tb > Ta > Td > Tc > Te Te > Tc = Td > Ta = Tb
A block on a string spins in a horizontal circle on a frictionless table. Rank order, from largest to smallest, the tensions Ta to Te acting on blocks a to e.
Tb > Ta > Td > Tc > Te
Te > Tc = Td > Ta = Tb
Te > Td > Tc > Tb > Ta
Td > Tb = Te > Tc > Ta
Td > Tb > Te > Tc > Ta
STT7.3

44. A car is rolling over the top of a hill at speed v. At this instant,
n > w.
n < w.
n = w.
We can’t tell about n without knowing v.
STT7.4
Answer: B

45. A car is rolling over the top of a hill at speed v. At this instant,
n > w.
n < w.
n = w.
We can’t tell about n without knowing v.
STT7.4

46. A ball on a string is swung in a vertical circle
A ball on a string is swung in a vertical circle. The string happens to break when it is parallel to the ground and the ball is moving up. Which trajectory does the ball follow?
STT7.5
Answer: C

47. A ball on a string is swung in a vertical circle
A ball on a string is swung in a vertical circle. The string happens to break when it is parallel to the ground and the ball is moving up. Which trajectory does the ball follow?
STT7.5

48. A fishing line of negligible mass lifts a fish
upward at constant speed. The line and the fish are the system, the fishing pole is part of the environment. What, if anything, is wrong with the free-body diagrams?
The force of the pole on the fish is missing.
The force of gravity on the line is missing.
The gravitational force and the tension force are incorrectly identified as an action/reaction pair.
There should be only one force on the fish.
There is nothing wrong with the free-body diagrams.
Answer: C

49. A fishing line of negligible mass lifts a fish
upward at constant speed. The line and the fish are the system, the fishing pole is part of the environment. What, if anything, is wrong with the free-body diagrams?
The force of the pole on the fish is missing.
The force of gravity on the line is missing.
The gravitational force and the tension force are incorrectly identified as an action/reaction pair.
There should be only one force on the fish.
There is nothing wrong with the free-body diagrams.
STT7.1

50. Car B is stopped for a red light
Car B is stopped for a red light. Car A, which has the same mass as car B, doesn’t see the red light and runs into the back of B. Which of the following statements is true?
A exerts a larger force on B than B exerts on A.
A exerts a force on B but B doesn’t exert a force on A.
B exerts a force on A but A doesn’t exert a force on B.
B exerts a larger force on A than A exerts on B.
B exerts the same amount of force on A as A  exerts on B.
Answer: E

51. Car B is stopped for a red light
Car B is stopped for a red light. Car A, which has the same mass as car B, doesn’t see the red light and runs into the back of B. Which of the following statements is true?
A exerts a larger force on B than B exerts on A.
A exerts a force on B but B doesn’t exert a force on A.
B exerts a force on A but A doesn’t exert a force on B.
B exerts a larger force on A than A exerts on B.
B exerts the same amount of force on A as A  exerts on B.
STT8.2

52. Boxes A and B are sliding to the right across a frictionless table
Boxes A and B are sliding to the right across a frictionless table. The hand H is slowing them down. The mass of A is larger than the mass of B. Rank in order, from largest to smallest, the horizontal forces on A, B, and H.
Answer: C
FH on B = FH on A > FA on B
FB on H = FH on B = FA on B = FB on A
FB on H = FH on B < FA on B = FB on A

53. Boxes A and B are sliding to the right across a frictionless table
Boxes A and B are sliding to the right across a frictionless table. The hand H is slowing them down. The mass of A is larger than the mass of B. Rank in order, from largest to smallest, the horizontal forces on A, B, and H.
STT8.3
FH on B = FH on A > FA on B
FB on H = FH on B = FA on B = FB on A
FB on H = FH on B < FA on B = FB on A

54. All three 50 kg blocks are at rest
All three 50 kg blocks are at rest. Is the tension in rope 2 greater than, less than, or equal to the tension in rope 1?
Equal to
Greater than
Less than
Answer: A

55. All three 50 kg blocks are at rest
All three 50 kg blocks are at rest. Is the tension in rope 2 greater than, less than, or equal to the tension in rope 1?
Equal to
Greater than
Less than
STT8.4

56. In the figure to the right, is the tension in the string greater than, less than, or equal to the weight of block B?
Answer: C
Equal to
Greater than
Less than

57. In the figure to the right, is the tension in the string greater than, less than, or equal to the weight of block B?
Equal to
Greater than
Less than

58. car. Which of the following statements is true?
A small car is pushing a larger truck that has a dead battery. The mass of the truck is larger than the mass of the
car. Which of the following statements is true?
The truck exerts a larger force on the car than the car exerts on the truck.
The truck exerts a force on the car but the car doesn’t exert a force on the truck.
The car exerts a force on the truck but the truck doesn’t exert a force on the car.
The car exerts a larger force on the truck than the truck exerts on the car.
The car exerts the same amount of force on the truck as the truck exerts on the car.
Answer: E

59. car. Which of the following statements is true?
A small car is pushing a larger truck that has a dead battery. The mass of the truck is larger than the mass of the
car. Which of the following statements is true?
The truck exerts a larger force on the car than the car exerts on the truck.
The truck exerts a force on the car but the car doesn’t exert a force on the truck.
The car exerts a force on the truck but the truck doesn’t exert a force on the car.
The car exerts a larger force on the truck than the truck exerts on the car.
The car exerts the same amount of force on the truck as the truck exerts on the car.
STT8.6

60. A Martian lander is approaching the surface
A Martian lander is approaching the surface. It is slowing its descent by firing its rocket motor. Which is the correct free-body diagram for the lander?
Answer: A

61. A Martian lander is approaching the surface
A Martian lander is approaching the surface. It is slowing its descent by firing its rocket motor. Which is the correct free-body diagram for the lander?
STT5.1

62. An elevator that has descended from the 50th floor is coming to a halt at the 1st floor. As it does, your apparent weight is
less than your true weight.
equal to your true weight.
more than your true weight.
zero.
Answer: C

63. An elevator that has descended from the 50th floor is coming to a halt at the 1st floor. As it does, your apparent weight is
less than your true weight.
equal to your true weight.
more than your true weight.
zero.
STT5.2

64. Rank order, from largest to smallest, the size of the friction forces to in these five different situations. The box and the floor are made of the same materials in all situations.
fc > fd > fe > fb > fa.
fb > fc = fd = fe > fa.
fb > fc > fd > fe > fa.
fa > fc = fd = fe > fb.
fa = fb > fc = fd = fe.
Answer: B

65. Rank order, from largest to smallest, the size of the friction forces to in these five different situations. The box and the floor are made of the same materials in all situations.
fc > fd > fe > fb > fa.
fb > fc = fd = fe > fa.
fb > fc > fd > fe > fa.
fa > fc = fd = fe > fb.
fa = fb > fc = fd = fe.
STT5.3

66. 30 m/s. Which velocity graph is correct?
The terminal speed of a Styrofoam ball is 15 m/s. Suppose a Styrofoam ball is shot straight down with an initial speed of
30 m/s. Which velocity graph is correct?
Answer: D

67. 30 m/s. Which velocity graph is correct?
The terminal speed of a Styrofoam ball is 15 m/s. Suppose a Styrofoam ball is shot straight down with an initial speed of
30 m/s. Which velocity graph is correct?
STT5.4

68. Two of three forces exerted on an object are shown
Two of three forces exerted on an object are shown. The net force points to the left. What is the missing third force?
Answer: C

69. Two of three forces exerted on an object are shown
Two of three forces exerted on an object are shown. The net force points to the left. What is the missing third force?
STT4.1

70. You’ve just kicked a rock, and it is now sliding across the ground about 2 meters in front of you. Which of these forces act on the ball?
Gravity, acting downward
The normal force, acting upward
The force of the kick, acting in the  direction of motion
Friction, acting opposite the direction of  motion
A, B, and D but not C.
Answer: E

71. You’ve just kicked a rock, and it is now sliding across the ground about 2 meters in front of you. Which of these forces act on the ball?
Gravity, acting downward
The normal force, acting upward
The force of the kick, acting in the  direction of motion
Friction, acting opposite the direction of  motion
A, B, and D but not C.
STT4.2

72. Two rubber bands stretched the standard distance cause an object to accelerate at
2 m/s2. Suppose another object with twice the mass is pulled by four rubber bands stretched the standard length. The acceleration of this second object is
16 m/s2.
8 m/s2.
4 m/s2.
2 m/s2.
1 m/s2.
Answer: D

73. Two rubber bands stretched the standard distance cause an object to accelerate at 2 m/s2. Suppose another object with twice the mass is pulled by four rubber bands stretched the standard length. The acceleration of this second object is
16 m/s2.
8 m/s2.
4 m/s2.
2 m/s2.
1 m/s2.
STT4.3

74. Three forces act on an object
Three forces act on an object. In which direction does the object accelerate?
Answer: D

75. Three forces act on an object
Three forces act on an object. In which direction does the object accelerate?
STT4.4

76. An elevator suspended by a cable is moving upward and slowing to a stop. Which free-body diagram is correct?
Answer: C

77. An elevator suspended by a cable is moving upward and slowing to a stop. Which free-body diagram is correct?
STT4.5

78. This acceleration will cause the particle to
slow down and curve downward.
slow down and curve upward.
speed up and curve downward.
speed up and curve upward.
move to the right and down.
Answer: A

79. This acceleration will cause the particle to
slow down and curve downward.
slow down and curve upward.
speed up and curve downward.
speed up and curve upward.
move to the right and down.
STT6.1

80. During which time interval is the particle described by these position graphs at rest?
Answer: C

81. During which time interval is the particle described by these position graphs at rest?
STT33.1

82. A 50 g ball rolls off a table and lands 2 m from the base of the table
A 50 g ball rolls off a table and lands 2 m from the base of the table. A 100 g ball rolls off the same table with the same speed. It lands at a distance
less than 2 m from the base.
2 m from the base.
greater than 2 m from the base.
Answer: B

83. A 50 g ball rolls off a table and lands 2 m from the base of the table
A 50 g ball rolls off a table and lands 2 m from the base of the table. A 100 g ball rolls off the same table with the same speed. It lands at a distance
less than 2 m from the base.
2 m from the base.
greater than 2 m from the base.
STT6.3

84. A plane traveling horizontally to the right at 100 m/s flies past a helicopter that is going straight up at 20 m/s. From the helicopter’s perspective, the plane’s direction and speed are
right and up, more than 100 m/s.
right and up, less than 100 m/s.
right and down, more than 100 m/s.
right and down, less than 100 m/s.
right and down, 100 m/s.
Answer: C

85. A plane traveling horizontally to the right at 100 m/s flies past a helicopter that is going straight up at 20 m/s. From the helicopter’s perspective, the plane’s direction and speed are
right and up, more than 100 m/s.
right and up, less than 100 m/s.
right and down, more than 100 m/s.
right and down, less than 100 m/s.
right and down, 100 m/s.
STT6.4

86. A particle moves cw around a circle at constant speed for 2. 0 s
A particle moves cw around a circle at constant speed for 2.0 s. It then reverses direction and moves ccw at half the original speed until it has traveled through the same angle. Which is the particle’s angle-versus-time graph?
Answer: B

87. A particle moves cw around a circle at constant speed for 2. 0 s
A particle moves cw around a circle at constant speed for 2.0 s. It then reverses direction and moves ccw at half the original speed until it has traveled through the same angle. Which is the particle’s angle-versus-time graph?
STT7.1

88. Rank in order, from largest to smallest, the centripetal accelerations (ar)a to (ar)e of particles a to e.
(ar)b > (ar)e > (ar)a > (ar)d > (ar)c
(ar)b > (ar)e > (ar)a = (ar)c > (ar)d
(ar)b = (ar)e > (ar)a = (ar)c > (ar)d
(ar)b > (ar)a = (ar)c = (ar)e > (ar)d
(ar)b > (ar)a = (ar)a > (ar)e > (ar)d
Answer: B

89. Rank in order, from largest to smallest, the centripetal accelerations (ar)a to (ar)e of particles a to e.
(ar)b > (ar)e > (ar)a > (ar)d > (ar)c
(ar)b > (ar)e > (ar)a = (ar)c > (ar)d
(ar)b = (ar)e > (ar)a = (ar)c > (ar)d
(ar)b > (ar)a = (ar)c = (ar)e > (ar)d
(ar)b > (ar)a = (ar)a > (ar)e > (ar)d
STT7.2

90. The fan blade is slowing down. What are the signs of ω and α?
 is positive and  is positive.
B.  is negative and  is positive.
C.  is positive and  is negative.
D.  is negative and  is negative.
Answer: B

91. The fan blade is slowing down. What are the signs of ω and α?
  is positive and  is positive.
B.  is negative and  is positive.
C.  is positive and  is negative.
D.  is negative and  is negative.
STT13.1

92. Which figure shows ?
Answer C

93. Which figure shows ?
STT3.1

94. Which figure shows 2 − ?
Answer A

95. Which figure shows 2 − ?
STT3.2

96. What are the x- and y-components Cx and Cy of vector ?
Cx = 1 cm, Cy = –1 cm
Cx = –3 cm, Cy = 1 cm
Cx = –2 cm, Cy = 1 cm
Cx = –4 cm, Cy = 2 cm
Cx = –3 cm, Cy = –1 cm
Answer D

97. What are the x- and y-components Cx and Cy of vector ?
Cx = 1 cm, Cy = –1 cm
Cx = –3 cm, Cy = 1 cm
Cx = –2 cm, Cy = 1 cm
Cx = –4 cm, Cy = 2 cm
Cx = –3 cm, Cy = –1 cm
STT3.3

98. Angle φ that specifies the direction of is given by
tan–1(Cy /Cx)
tan–1(Cx /|Cy|)
tan–1(Cy /|Cx|)
tan–1(Cx /Cy)
tan–1(|Cx |/|Cy|)
Answer D

99. Angle φ that specifies the direction of is given by
tan–1(Cy /Cx)
tan–1(Cx /|Cy|)
tan–1(Cy /|Cx|)
tan–1(Cx /Cy)
tan–1(|Cx |/|Cy|)
STT3.4

100. Which position-versus-time graph represents the motion shown in the motion diagram?
Answer: D

101. Which position-versus-time graph represents the motion shown in the motion diagram?
STT2.1

102. Which velocity-versus-time graph goes with the position-versus-time graph on the left?
Answer: C

103. Which velocity-versus-time graph goes with the position-versus-time graph on the left?
STT2.2

104. Which position-versus-time graph goes with the velocity-versus-time graph at the top? The particle’s position at ti = 0 s is xi = –10 m.
Answer: B

105. Which position-versus-time graph goes with the velocity-versus-time graph at the top? The particle’s position at ti = 0 s is xi = –10 m.
STT2.3

106. Which velocity-versus-time graph or graphs goes with this acceleration-versus- time graph? The particle is initially moving to the right and eventually to the left.
Answer: B

107. Which velocity-versus-time graph or graphs goes with this acceleration-versus- time graph? The particle is initially moving to the right and eventually to the left.
STT2.4

108. The ball rolls up the ramp, then back down
The ball rolls up the ramp, then back down. Which is the correct acceleration graph?
Answer: D

109. The ball rolls up the ramp, then back down
The ball rolls up the ramp, then back down. Which is the correct acceleration graph?
STT2.5

110. Rank in order, from largest to smallest, the accelerations aA– aC at points A – C.
aA > aB > aC
aA > aC > aB
aB > aA > aC
aC > aA > aB
aC > aB > aA
Answer: E

111. Rank in order, from largest to smallest, the accelerations aA– aC at points A – C.
aA > aB > aC
aA > aC > aB
aB > aA > aC
aC > aA > aB
aC > aB > aA
STT2.6

112. Which car is going faster, A or B
Which car is going faster, A or B? Assume there are equal intervals of time between the frames of both movies.
Answer: B

113. Which car is going faster, A or B
Which car is going faster, A or B? Assume there are equal intervals of time between the frames of both movies.
STT1.1
B is going faster.

114. Three motion diagrams are shown
Three motion diagrams are shown. Which is a dust particle settling to the floor at constant speed, which is a ball dropped from the roof of a building, and which is a descending rocket slowing to make a soft landing on Mars?
A. (a) is ball, (b) is dust, (c) is rocket
B. (a) is ball, (b) is rocket, (c) is dust
C. (a) is rocket, (b) is dust, (c) is ball
D. (a) is rocket, (b) is ball, (c) is dust
E. (a) is dust, (b) is ball, (c) is rocket
Answer: A

115. Three motion diagrams are shown
Three motion diagrams are shown. Which is a dust particle settling to the floor at constant speed, which is a ball dropped from the roof of a building, and which is a descending rocket slowing to make a soft landing on Mars?
A. (a) is ball, (b) is dust, (c) is rocket
B. (a) is ball, (b) is rocket, (c) is dust
C. (a) is rocket, (b) is dust, (c) is ball
D. (a) is rocket, (b) is ball, (c) is dust
E. (a) is dust, (b) is ball, (c) is rocket
STT1.2

116. A particle moves from position 1 to position 2 during the interval ∆t
A particle moves from position 1 to position 2 during the interval ∆t. Which vector shows the particle’s average velocity?
Answer: E

117. A particle moves from position 1 to position 2 during the interval ∆t
A particle moves from position 1 to position 2 during the interval ∆t. Which vector shows the particle’s average velocity?
STT1.3

118. A particle undergoes acceleration while moving from point 1 to point 2
A particle undergoes acceleration while moving from point 1 to point 2. Which of the choices shows the velocity vector as the object moves away from point 2?
Answer: C

119. A particle undergoes acceleration while moving from point 1 to point 2
A particle undergoes acceleration while moving from point 1 to point 2. Which of the choices shows the velocity vector as the object moves away from point 2?
STT1.4

120. Rank in order, from the most to the least, the number of significant figures in the following numbers. For example, if b has more than c, c has the same number as a, and a has more than d, you could give your answer as b > c = a > d.
a b c d × 10−10
a = b = d > c
b = d > c > a
d > c > b = a
d > c > a > b
b > a = c = d
Answer: C

121. Rank in order, from the most to the least, the number of significant figures in the following numbers. For example, if b has more than c, c has the same number as a, and a has more than d, you could give your answer as b > c = a > d.
a b c d × 10−10
a = b = d > c
b = d > c > a
d > c > b = a
d > c > a > b
b > a = c = d
STT1.5