1. Nonlinear Motion and Circular Motion
Unit 2 Review
Nonlinear Motion
and
Circular Motion

2. The mass of a paper clip is approximately
(A) 1 × 106 kg
(B) 1 × 103 kg
(C) 1 × 10–3 kg
(D) 1 × 10–6 kg

3. Which pair of graphs represents the same motion of an object?1

4. The diagram represents two concurrent forces. Which vector represents
the force that will produce
equilibrium with these two forces? 3

5. (A) vector quantity and has a direction associated with it
The speedometer in a car does not measure the car’s velocity because velocity is a
(A) vector quantity and has a direction
associated with it
(B) vector quantity and does not have a direction associated with it
(C) scalar quantity and has a direction associated with it
(D) scalar quantity and does not have
(1) vector quantity and has a direction associated with it

6. A golf ball is given an initial speed of 20 m/s and returns to level ground. Which launch angle above level ground results in the ball traveling the greatest horizontal distance? [Neglect friction.]
(A) 60°
(B) 45°
(C) 30°
(D) 15°
(B) 45°

7. A golf ball is hit with an initial velocity of 15 m/s at an angle of 35 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity?
(A) 8.6 m/s (C) 12 m/s
(B) 9.8 m/s (D) 15 m/s
(1) 8.6 m/s

8. A golf ball is hit with an initial velocity of 15 meters per second at an angle of 35 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity?
(A) 8.6 m/s
(B) 9.8 m/s
(C) 12 m/s
(D) 15 m/s

9. the magnitude of the eastward component of the plane’s velocity?
An airplane flies with a velocity of 750 km/hour, 30.0° south of east. What is
the magnitude of the eastward component of the plane’s velocity?
(A) 866 km/h
(B) 433 km/h
(C) 650 km/h
(D) 375 km/h
(C) 650 km/h

10. A motorboat, which has a speed of 5
A motorboat, which has a speed of 5.0 m/s in still water, is headed east as it crosses a river flowing south at 3.3 m/s. What is the magnitude of the boat’s resultant velocity with respect to the starting point?
(A) 3.3 m/s
(B) 5.0 m/s
(C) 6.0 m/s
(D) 8.3 m/s
6.0 m/s

11. A projectile launched at an angle of 45° above the horizontal travels through the air. Compared to the projectile’s theoretical path with no air friction, the actual trajectory of the projectile with air friction is
(A) lower and shorter
(B) lower and longer
(C) higher and shorter
(D) higher and longer
(A) lower and shorter

12. (A) 3.6 m/s (B) 4.9 m/s (C) 7.0 m/s (D) 13 m/s
A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35º with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second.
(C) 7.0 m/s
The horizontal component of the ball’s initial velocity is approximately
(A) 3.6 m/s (B) 4.9 m/s (C) 7.0 m/s (D) 13 m/s

13. The maximum height reached by the ball is approximately
A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35º with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second.
(C) 7.0 m/s
The maximum height reached by the ball is approximately
(A) 1.2 m (B) 2.5 m (C) 4.9 m (D) 8.5 m

14. A soccer player kicks a ball with an initial velocity of 10 m/s at an angle of 30° above the horizontal. The horizontal component of the ball’s initial velocity is
(A) 5.0 m/s
(B) 8.7 m/s
(C) 9.8 m/s
(D) 10 m/s
(B) 8.7 m/s

15. Two stones, A and B, are thrown horizontally from the top of a cliff
Two stones, A and B, are thrown horizontally from the top of a cliff. Stone A has an initial speed of 15 meters per second and stone B has an initial speed of 30 meters per second. Compared to the time it takes stone A to reach the ground, the time it takes stone B to reach the ground is
(A) the same
(B) twice as great
(C) half as great
(D) four times as great
(A) the same

16. A ball dropped from rest falls freely until it hits the ground with a speed of 20 m/s. The time during which the ball is in free fall is approximately
(A) 1 s
(B) 0.5 s
(C) 2 s
(D) 10 s
2) 2 s

17. A student standing on the roof of a 50
A student standing on the roof of a 50.0-meter-high building kicks a stone at a horizontal speed of 4.00 meters per second. How much time is required for the stone to reach the level ground below?
(A) 3.19 s
(B) 5.10 s
(C) 10.2 s
(D) 12.5 s
(A) 3.19 s

18. A student standing on the roof of a 50
A student standing on the roof of a 50.0-meter-high building kicks a stone at a horizontal speed of 4.00 meters per second. How much time is required for the stone to reach the level ground below?
(A) 12.8 m
(B) 0.80 m
(C) 40.8 m
(D) 50.0 m
(A) 3.19 s

19. A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the cliff is 125 m high, how much time elapses until the ball hits the ground?
(A) 2.0 s
(B) 5.0 s
(C) 6.2 s
(D) 12.5 s

20. A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the cliff is 125 m high, how much far from the edge of the cliff does the ball hit?
(A) 24 m
(B) 72 m
(C) 120 m
(D) 585 m

21. A target is placed 117 m from the base of a cliff
A target is placed 117 m from the base of a cliff. If the cliff is 125 m high, how fast does the ball have to be thrown to hit the target?
(A) 5.2 m/s
(B) 23.4 m/s
(C) 120 m/s
(D) 585 m/s

22. A car rounds a horizontal curve of constant radius at a constant speed
A car rounds a horizontal curve of constant radius at a constant speed. Which diagram best represents
the directions
of both the car’s
velocity, v, and
acceleration, a? 3

23. A ball thrown vertically upward reaches a maximum height of 30 meters above the surface of Earth. At its maximum height, the speed of the ball is
(A) 0.0 m/s (C) 9.8 m/s
(B) 3.1 m/s (D) 24 m/s
(A) 0.0 m/s

24. (A) doubling V and doubling R (B) doubling V and halving R
A ball of mass M at the end of a string is swung in a horizontal circular path of radius R at constant speed V. Which combination of changes would require the greatest increase in the centripetal force acting on the ball?
(A) doubling V and doubling R
(B) doubling V and halving R
(C) halving V and doubling R
(D) halving V and halving R
(B) doubling V and halving R

25. Which graph best represents the relationship between the magnitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius? 2

26. A ball dropped from rest falls freely until it hits the ground with a speed of 20 meters per second. The time during which the ball is in free fall is approximately
(A) 1 s
(B) 2 s
(C) 0.5 s
(D) 10 s

27. An object was projected
horizontally from a tall
cliff. The diagram shows
the path of the object,
neglecting friction. How
does the magnitude of the
horizontal component of the object’s velocity at point A compare with the magnitude of the horizontal component of the object’s velocity at point B?
(A) A=B (B) A>B (C) A<B (D) NEI

28. An object was projected
horizontally from a tall
cliff. The diagram shows
the path of the object,
neglecting friction. How
does the magnitude of the
vertical component of the object’s velocity at point A compare with the magnitude of the vertical component of the object’s velocity at point B?
(A) A=B (B) A>B (C) A<B (D) NEI

29. In an experiment, a rubber
stopper is attached to one
end of a string that is
passed through a plastic tube before weights are attached to the other end. The stopper is whirled in a horizontal circular path at constant speed.
What is the angular velocity (rps) if the radius is 1 meter and it takes 0.5 seconds to make a complete circle?

30. In an experiment, a rubber
stopper is attached to one
end of a string that is
passed through a plastic tube before weights are attached to the other end. The stopper is whirled in a horizontal circular path at constant speed.
What is the linear velocity (m/s) if the radius is 1 meter and it takes 0.5 seconds to make a complete circle?

31. In an experiment, a rubber
stopper is attached to one
end of a string that is
passed through a plastic tube before weights are attached to the other end. The stopper is whirled in a horizontal circular path at constant speed.
What is the angular acceleration (m/s2) if the radius is 1 meter and it takes 0.5 seconds to make a complete circle?