1. What is the momentum of a 30-kilogram cart
moving with a speed of 10 meters per second?
(1) 20 kg-m/sec
(3) 3 kg-m/sec
(2) 40 kg-m/sec
(4) 300 kg-m/sec
2. If the direction of the velocity of an object is
west, the direction of the momentum of the
object is
(1) north
(3) east
(2) south
(4) west
3. An object traveling at 4.0 meters per second has
a momentum of 16 kilogram-meters per second.
What is the mass of the object?
(1) 64 kg
(3) 12 kg
(2) 20 kg
(4) 4.0 kg
4. Base your answer to the following question on
the diagram below which shows a 20-newton
force pulling an object up a hill at a constant rate
of 2 meters per second.
7. Two rocks weighing 5 Newtons and 10
Newtons, respectively, fall freely from rest near
the Earth's surface. After 3 seconds of free-fall,
compared to the 5-newton rock, the 10-newton
rock has greater
(1) acceleration
(3) momentum
(2) height
(4) speed
8. A 5-newton ball and a 10-newton ball are
released simultaneously from a point 50 meters
above the surface of the Earth. Neglecting air
resistance, which statement is true?
(1) The 5-N ball will have a greater acceleration
than the 10-N ball.
(2) The 10-N ball will have a greater
acceleration than the 5-N ball.
(3) At the end of 3 seconds of free-fall, the 10-N
ball will have a greater momentum than the
5-N ball.
(4) At the end of 3 seconds of free-fall, the 5-N
ball will have a greater momentum than the
10-N ball.
9. If the speed of a moving object is doubled,
which quantity associated with the object must
also double?
(1) its momentum
(2) its kinetic energy
(3) its acceleration
(4) its gravitational potential energy
The magnitude of the momentum of the moving
object is
(1) 0 kg-m/s
(3) 100 kg-m/s
(2) 10 kg-m/s
(4) 600 kg-m/s
10. In the diagram below, a 10-kilogram ball is fired
with a velocity of 500 meters per second from a
1,000-kilogram cannon. What is the recoil
velocity of the cannon?
5. The momentum of an object is the product of its
(1) force and distance
(2) mass and acceleration
(3) force and displacement
(4) mass and velocity
6. Momentum may be expressed in
(1) joules
(3) kg-m/s
(2) watts
(4) N-m
(1) 5 m/s
(2) 2 m/s
(3) 10 m/s
(4) 500 m/s
11. Which of the following objects has the greatest
momentum?
(1) a 1-kg object moving at 200 m/sec
(2) a 10-kg object moving at 30 m/sec
(3) a 20-kg object moving at 20 m/sec
(4) a 100-kg object moving at 2 m/sec
17. Base your answer to the following question on
the graph below, which shows the velocity of a
1,500-kilogram car during a 20-second-time
interval.
12. Which is a unit of momentum?
(1) N-m/s2
(2) kg-m/s2
(3) N-m/s
(4) kg-m/s
13. What is the momentum of a 1,200-kilogram car
traveling at 15 meters per second due east?
(1) 1.8 × 104 kg•m/s due east
(2) 1.8 × 104 kg•m/s due west
(3) 80. kg•m/s due east
(4) 80. kg•m/s due west
14. Cart A has a mass of 2 kilograms and a speed of
3 meters per second. Cart B has a mass of 3
kilograms and a speed of 2 meters per second.
Compared to the inertia and magnitude of
momentum of cart A, cart B has
(1) the same inertia and a smaller magnitude of
momentum
(2) the same inertia and the same magnitude of
momentum
(3) greater inertia and a smaller magnitude of
momentum
(4) greater inertia and the same magnitude of
momentum
The impulse applied to the car during time
interval AB is
(1) 9.0 x 102 N-sec.
(2) 4.5 x 103 N-sec.
(3) 6.0 x 103 N-sec.
(4) 1.5 x 104 N-sec.
18. Base your answer to the following question on
the diagram below which represents a 10kilogram object at rest at point A. The object
accelerates uniformly from point A to point B in
4 seconds, attaining a maximum speed of 10
meters per second at point B. The object then
moves up the incline. [Neglect friction.]
15. A 1.0-kilogram mass changes speed from 2.0
meters per second to 5.0 meters per second. The
change in the object's momentum is
(1) 9.0 kg-m/sec
(3) 3.0 kg-m/sec
(2) 21 kg-m/sec
(4) 29 kg-m/sec
16. A 20.-kilogram mass moving at a speed of 3.0
meters per second is stopped by a constant force
of 15 Newtons. How many seconds must the
force act on the mass to stop it?
(1) 0.20 sec
(3) 5.0 sec
(2) 1.3 sec
(4) 4.0 sec
Compared to the impulse required to stop the
object at point B, the impulse required to stop
the object at point C is
(1) less
(3) the same
(2) greater
19. A force of 10. Newtons acts on an object for
0.010 second. What force, acting on the object
for 0.050 second, would produce the same
impulse?
(1) 1.0 N
(3) 5.0 N
(2) 2.0 N
(4) 10. N
20. As the unbalanced force applied to an object
increases, the time rate of change of the object's
momentum
(1) decreases
(3) remains the same
(2) increases
Base your answers to questions 21 and 22 on the
diagram below which represents two objects at rest
on a frictionless horizontal surface with a spring
compressed between them. When the compressed
spring is released, the two objects are pushed apart.
21. What is the velocity of the 2.0-kilogram object
after being acted on by 10. Newton-seconds of
impulse?
(1) 1.0 m/s
(3) 5.0 m/s
(2) 2.0 m/s
(4) 10. m/s
22. If the 1.0-kilogram object receives an impulse of
+20.-newton-seconds, what impulse does the
2.0-kilogram object receive?
(1) 0 N-s
(3) –10. N-s
(2) –5.0 N-s
(4) –20. N-s
23. A constant braking force of 10 Newtons applied
for 5 seconds is used to stop a 2.5-kilogram cart
traveling at 20 meters per second. The
magnitude of the impulse applied to stop the cart
is
(1) 10 N-s
(3) 50 N-s
(2) 30 N-s
(4) 100 N-s
24. A force of 20. Newtons is exerted on a cart for
10. seconds. How long must a 50.-newton force
act to produce the same impulse?
(1) 10. s
(3) 5.0 s
(2) 2.0 s
(4) 4.0 s
25. A 50.-kilogram woman wearing a seat belt is
traveling in a car that is moving with a velocity
of +10. meters per second. In an emergency, the
car is brought to a stop in 0.50 second. What
force does the seat belt exert on the woman so
that she remains in her seat?
(1) –1.0 × 103 N
(2) –5.0 × 102 N
(3) –5.0 × 101 N
(4) –2.5 × 101 N
26. A student drops two eggs of equal mass
simultaneously from the same height. Egg A
lands on the tile floor and breaks. Egg B lands
intact, without bouncing, on a foam pad lying on
the floor. Compared to the magnitude of the
impulse on egg A as it lands, the magnitude of
the impulse on egg B as it lands is
(1) less
(3) the same
(2) greater
27. An object is brought to rest by a constant force.
Which factor other than the mass and velocity of
the object must be known in order to determine
the magnitude of the force required to stop the
object?
(1) the time that the force acts on the object
(2) the gravitational potential energy of the
object
(3) the density of the object
(4) the weight of the object
28. An impulse I is applied to an object. The change
in the momentum of the object is
(1) I
(3) I/2
(2) 2I
(4) 4I
29. The velocity-time graph below represents the
motion of a 3-kilogram cart along a straight line.
The cart starts at t = 0 and initially moves north.
33. Which situation will produce the greatest change
of momentum for a 1.0-kilogram cart?
(1) accelerating it from rest to 3.0 m/s
(2) accelerating it from 2.0 m/s to 4.0 m/s
(3) applying a net force of 5.0 N for 2.0 s
(4) applying a net force of 10.0 N for 0.5 s
34. A 0.45-kilogram football traveling at a speed of
22 meters per second is caught by an 84kilogram stationary receiver. If the football
comes to rest in the receiver’s arms, the
magnitude of the impulse imparted to the
receiver by the ball is
(1) 1800 N•s
(3) 4.4 N•s
(2) 9.9 N•s
(4) 3.8 N•s
What is the magnitude of the change in
momentum of the cart between t = 0 and t = 3
seconds?
(1) 20 kg × m/s
(3) 60 kg × m/s
(2) 30 kg × m/s
(4) 80 kg × m/s
30. A 2,400-kilogram car is traveling at a speed of
20. meters per second. Compared to the
magnitude of the force required to stop the car in
12 seconds, the magnitude of the force required
to stop the car in 6.0 seconds is
(1) half as great
(3) the same
(2) twice as great
(4) four times as great
31. Two cars having different weights are traveling
on a level surface at different constant
velocities. Within the same time interval, greater
force will always be required to stop the car that
has greater
(1) weight
(3) velocity
(2) kinetic energy
(4) momentum
32. A 2.0-kilogram laboratory cart is sliding across a
horizontal frictionless surface at a constant
velocity of 4.0 meters per second east. What will
be the cart’s velocity after a 6.0-newton
westward force acts on it for 2.0 seconds?
(1) 2.0 m/s east
(3) 10. m/s east
(2) 2.0 m/s west
(4) 10. m/s west
Base your answers to questions 35 and 36 on the
information and diagram below.
Block A moves with a velocity of 2 meters
per second to the right, as shown in the
diagram, and then collides elastically with
block B, which is at rest. Block A stops
moving, and block B moves to the right after
the collision.
35. What is the total change in momentum of blocks
A and B ?
(1) 0 kg.-m/s
(3) 40 kg.-m/s
(2) 20 kg.-m/s
(4) 200 kg.-m/s
36. If the blocks had remained together after
collision, their velocity would have been
(1) 1 m/s
(3) 0 m/s
(2) 2 m/s
(4) .5 m/s
37. A 4.0-kilogram mass is moving at 3.0 meters per
second toward the right and a 6.0-kilogram mass
is moving at 2.0 meters per second toward the
left on a horizontal frictionless table. If the two
masses collide and remain together after the
collision, their final momentum is
(1) 1.0 kg-m/s
(3) 12 kg-m/s
(2) 24 kg-m/s
(4) 0 kg-m/s
38. A 2-kilogram object traveling 10 meters per
second north has a perfect elastic collision with
a 5-kilogram object traveling 4 meters per
second south. What is the total momentum after
collision?
(1) 0 kg-m/s
(3) 20 kg-m/s south
(2) 20 kg-m/s north
(4) 40 kg-m/s east
39. A 2.0-kilogram toy cannon is at rest on a
frictionless surface. A remote triggering device
causes a 0.005-kilogram projectile to be fired
from the cannon. Which equation describes this
system after the cannon is fired?
(1) mass of cannon + mass of projectile = 0
(2) speed of cannon + speed of projectile = 0
(3) momentum of cannon + momentum of
projectile = 0
(4) velocity of cannon + velocity of projectile =
0
40. Lab carts A and B are initially at rest with a
compressed spring between them as shown in
the diagram below.
Base your answers to questions 41 and 42 on the
diagram below which represents carts A and B being
pushed apart by a spring which exerts an average
force of 50. Newtons for a period of 0.20 second.
[Assume friction-less conditions.]
41. Compared to the magnitude of the impulse
acting on cart A, the magnitude of the impulse
acting on cart B is
(1) one-half as great
(3) the same
(2) twice as great
(4) four times as great
42. Compared to the total momentum of the carts
before the spring is released, the total
momentum of the carts after the spring is
released is
(1) one-half as great
(3) the same
(2) twice as great
(4) four times as great
43. A rocket engine acquires motion by ejecting hot
gases in the opposite direction. This is an
example of the law of
(1) conservation of heat
(2) conservation of energy
(3) conservation of momentum
(4) conservation of mass
44. The total momentum of a system that consists of
a moving rocket and its exhaust gases will
(1) decrease
(3) remain the same
(2) increase
Which statement best describes the motion of
the carts after the spring is released?
(1) Cart A has twice the momentum of cart B.
(2) Cart B has twice the momentum of cart A.
(3) Cart A has twice the velocity of cart B.
(4) Cart B has twice the velocity of cart A.
45. A 0.050-kilogram bullet is fired from a 4.0
kilogram rifle that is initially at rest. If the bullet
leaves the rifle with momentum having a
magnitude of 20. kilogram•meters per second,
the rifle will recoil with a momentum having a
magnitude of
(1) 1,600 kg•m/s
(3) 20. kg•m/s
(2) 80. kg•m/s
(4) 0.25 kg•m/s
46. A 3.0-kilogram steel block is at rest on a friction- 49. Two disk magnets are arranged at rest on a
less horizontal surface. A 1.0-kilogram lump of
friction less horizontal surface as shown in the
clay is propelled horizontally at 6.0 meters per
diagram below. When the string holding them
second toward the block as shown in the
together is cut, they move apart under a
diagram below.
magnetic force of repulsion. When the 1.0kilogram disk reaches a speed of 3.0 meters per
second, what is the speed of the 0.5-kilogram
disk?
Upon collision, the clay and steel block stick
together and move to the right with a speed of
(1) 1.5 m/s
(3) 3.0 m/s
(2) 2.0 m/s
(4) 6.0 m/s
(1) 1.0 m/s
(2) 0.50 m/s
(3) 3.0 m/s
(4) 6.0 m/s
50. The diagram below represents two identical
carts, attached by a cord, moving to the right at
speed V. If the cord is cut, what would be the
speed of cart A?
47. In the diagram below, scaled vectors represent
the momentum of each of two masses, A and B,
sliding toward each other on a frictionless,
horizontal surface.
(1) 0
(2) 2V
Which scaled vector best represents the
momentum of the system after the masses
collide?
(1)
(2)
(3) V
(4) V/2
51. A 2-kilogram car and a 3-kilogram car are
originally at rest on a horizontal frictionless
surface as shown in the diagram below. A
compressed spring is released causing the cars to
separate. The 3-kilogram car reaches a
maximum speed of 2 meters per second. What is
the maximum speed of the 2-kilogram car?
(3)
(4)
48. The direction of an object's momentum is
always the same as the direction of the object's
(1) inertia
(3) velocity
(2) potential energy
(4) weight
(1) 1 m/s
(2) 2 m/s
(3) 3 m/s
(4) 6 m/s
52. A 20-kilogram cart traveling east with a speed of
6 meters per second collides with a 30-kilogram
cart traveling west. If both carts come to rest
immediately after the collision, what was the
speed of the westbound cart before the collision?
(1) 6 m/s
(3) 3 m/s
(2) 2 m/s
(4) 4 m/s
53. A spring is compressed between two stationary
blocks as shown in the diagram below. Block A
has a mass of 6.0 kilograms. After the spring is
released, block A moves west at 8.0 meters per
second and block B moves east at 16 meters per
second.
What is the mass of block B? [Assume no
frictional effects.]
(1) 16 kg
(3) 3.0 kg
(2) 12 kg
(4) 6.0 kg
54. An 80.-kilogram skater and a 60.-kilogram
skater stand at rest in the center of a skating
rink. The two skaters push each other apart. The
60.-kilogram skater moves with a velocity of 10.
meters per second east. What is the velocity of
the 80.-kilogram skater? [Neglect any frictional
effects.]
(1) 0.13 m/s west
(3) 10. m/s east
(2) 7.5 m/s west
(4) 13. m/s east
55. A 2.0-kilogram cart moving due east at 6.0
meters per second collides with a 3.0-kilogram
cart moving due west. The carts stick together
and come to rest after the collision. What was
the initial speed of the 3.0-kilogram cart?
(1) 1.0 m/s
(3) 9.0 m/s
(2) 6.0 m/s
(4) 4.0 m/s
56. At the circus, a 100.-kilogram clown is fired at
15 meters per second from a 500.-kilogram
cannon. What is the recoil speed of the cannon?
(1) 75 m/s
(3) 3.0 m/s
(2) 15 m/s
(4) 5.0 m/s
57. In the diagram below, a 100.-kilogram clown is
fired from a 500.-kilogram cannon.
If the clown's speed is 15 meters per second
after the firing, the recoil speed (v) of the cannon
is
(1) 75 m/s
(3) 3.0 m/s
(2) 15 m/s
(4) 0 m/s
58. A 1.2-kilogram block and a 1.8-kilogram block
are initially at rest on a frictionless, horizontal
surface. When a compressed spring between the
blocks is released, the 1.8-kilogram block moves
to the right at 2.0 meters per second, as shown.
What is the speed of the 1.2-kilogram block
after the spring is released?
(1) 1.4 m/s
(3) 3.0 m/s
(2) 2.0 m/s
(4) 3.6 m/s
59. Ball A of mass 5.0 kilograms moving at 20.
meters per second collides with ball B of
unknown mass moving at 10. meters per second
in the same direction. After the collision, ball A
moves at 10. meters per second and ball B at 15
meters per second, both still in the same
direction. What is the mass of ball B?
(1) 6.0 kg
(3) 10. kg
(2) 2.0 kg
(4) 12 kg
60. The diagram below shows a 4.0-kilogram cart moving to the right and a 6.0-kilogram cart moving to the left on a
horizontal frictionless surface.
When the two carts collide they lock together. The magnitude of the total momentum of the two-cart system after
the collision is
(1) 0.0 kg•m/s
(2) 6.0 kg•m/s
(3) 15 kg•m/s
(4) 30. kg•m/s
Answer Key
[New Exam]
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