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A 4.2-kg object, initially at rest, "explodes" into three objects of equal mass. Two of these are determined to have velocities of equal magnitudes (5.0 m/s) with directions that differ by 90°. How much kinetic energy was released in the explosion?


A) 70 J
B) 53 J
C) 60 J
D) 64 J
E) 35 J

F) All of the above
G) A) and B)

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A 3.0-kg mass moving in the positive x direction with a speed of 10 m/s collides with a 6.0-kg mass initially at rest. After the collision, the speed of the 3.0-kg mass is 8.0 m/s, and its velocity vector makes an angle of 35° with the positive x axis. What is the magnitude of the velocity of the 6.0-kg mass after the collision?


A) 2.2 m/s
B) 2.9 m/s
C) 4.2 m/s
D) 3.5 m/s
E) 4.7 m/s

F) A) and C)
G) A) and B)

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B

A rocket moving in outer space maintains a constant acceleration (magnitude = 20 m/s2) while ejecting fuel at a speed of 15 km/s relative to the rocket. If the initial mass of the rocket is 3 000 kg, what is the magnitude of the thrust after 800 kg of fuel have been consumed?


A) 56 kN
B) 48 kN
C) 52 kN
D) 44 kN
E) 36 kN

F) All of the above
G) D) and E)

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A car of mass m1 traveling at velocity v passes a car of mass m2 parked at the side of the road. The momentum of the system of two cars is


A) 0.
B) m1v.
C) (m1 − m2) v.
D)
A car of mass m<sub>1</sub> traveling at velocity v passes a car of mass m<sub>2</sub> parked at the side of the road. The momentum of the system of two cars is A) 0. B) m<sub>1</sub>v. C) (m<sub>1</sub> − m<sub>2</sub>) v. D) E) (m<sub>1</sub> + m<sub>2</sub>) v.
E) (m1 + m2) v.

F) B) and E)
G) A) and E)

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A pendulum consists of a 2.0-kg block hanging on a 1.5-m length string. A 10-g bullet moving with a horizontal velocity of 900 m/s strikes, passes through, and emerges from the block (initially at rest) with a horizontal velocity of 300 m/s. To what maximum height above its initial position will the block swing?


A) 32 cm
B) 38 cm
C) 46 cm
D) 27 cm
E) 9 cm

F) A) and D)
G) B) and C)

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A child bounces a 50-gram superball on the sidewalk. The velocity of the superball changes from 21 m/s downward to 19 m/s upward. If the contact time with the sidewalk is 1/800 s, what is the magnitude of the force exerted on the superball by the sidewalk?

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When two bodies of different masses collide, the impulses they exert on each other are


A) equal for all collisions.
B) equal but opposite for all collisions.
C) equal but opposite only for elastic collisions.
D) equal but opposite only for inelastic collisions.
E) equal but opposite only when the bodies have equal but opposite accelerations.

F) B) and C)
G) B) and E)

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A 3.0-kg mass sliding on a frictionless surface has a velocity of 5.0 m/s east when it undergoes a one-dimensional inelastic collision with a 2.0-kg mass that has an initial velocity of 2.0 m/s west. After the collision the 3.0-kg mass has a velocity of 1.0 m/s east. How much kinetic energy does the two-mass system lose during the collision?


A) 22 J
B) 24 J
C) 26 J
D) 20 J
E) 28 J

F) C) and D)
G) A) and E)

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Refer to Exhibit 9-1. What is the magnitude of their total momentum, in Refer to Exhibit 9-1. What is the magnitude of their total momentum, in , immediately after the collision? A) 0 B) 6.5 C) 7.5 D) 13 E) 15 , immediately after the collision?


A) 0
B) 6.5
C) 7.5
D) 13
E) 15

F) C) and D)
G) B) and E)

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D

Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (−2, −6) m. Where must a 20-g particle be placed so that the center of mass of this three-particle system is located at the origin?


A) (−1, −3) m
B) (−1, 2) m
C) (−1, 12) m
D) (−1, 7) m
E) (−1, 3) m

F) A) and D)
G) A) and C)

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Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls?


A)
Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls? A) . B) . C) . D) Δ <sub> </sub> <sub>B</sub> = Δ <sub> </sub> <sub>A</sub>. E) Δ <sub> </sub> <sub>B</sub> > Δ <sub> </sub> <sub>A</sub>. .
B)
Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls? A) . B) . C) . D) Δ <sub> </sub> <sub>B</sub> = Δ <sub> </sub> <sub>A</sub>. E) Δ <sub> </sub> <sub>B</sub> > Δ <sub> </sub> <sub>A</sub>. .
C)
Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls? A) . B) . C) . D) Δ <sub> </sub> <sub>B</sub> = Δ <sub> </sub> <sub>A</sub>. E) Δ <sub> </sub> <sub>B</sub> > Δ <sub> </sub> <sub>A</sub>. .
D) Δ
Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls? A) . B) . C) . D) Δ <sub> </sub> <sub>B</sub> = Δ <sub> </sub> <sub>A</sub>. E) Δ <sub> </sub> <sub>B</sub> > Δ <sub> </sub> <sub>A</sub>.
B = Δ
Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls? A) . B) . C) . D) Δ <sub> </sub> <sub>B</sub> = Δ <sub> </sub> <sub>A</sub>. E) Δ <sub> </sub> <sub>B</sub> > Δ <sub> </sub> <sub>A</sub>.
A.
E) Δ
Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls? A) . B) . C) . D) Δ <sub> </sub> <sub>B</sub> = Δ <sub> </sub> <sub>A</sub>. E) Δ <sub> </sub> <sub>B</sub> > Δ <sub> </sub> <sub>A</sub>.
B > Δ
Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls? A) . B) . C) . D) Δ <sub> </sub> <sub>B</sub> = Δ <sub> </sub> <sub>A</sub>. E) Δ <sub> </sub> <sub>B</sub> > Δ <sub> </sub> <sub>A</sub>.
A.

F) A) and E)
G) D) and E)

Correct Answer

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A 0.28-kg stone you throw rises 34.3 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is


A) 0.27 N
A 0.28-kg stone you throw rises 34.3 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is A) 0.27 N s. B) 2.7 N s. C) 7.3 N s. D) 9.6 N s. E) 34.3 N s. s.
B) 2.7 N
A 0.28-kg stone you throw rises 34.3 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is A) 0.27 N s. B) 2.7 N s. C) 7.3 N s. D) 9.6 N s. E) 34.3 N s. s.
C) 7.3 N
A 0.28-kg stone you throw rises 34.3 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is A) 0.27 N s. B) 2.7 N s. C) 7.3 N s. D) 9.6 N s. E) 34.3 N s. s.
D) 9.6 N
A 0.28-kg stone you throw rises 34.3 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is A) 0.27 N s. B) 2.7 N s. C) 7.3 N s. D) 9.6 N s. E) 34.3 N s. s.
E) 34.3 N
A 0.28-kg stone you throw rises 34.3 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is A) 0.27 N s. B) 2.7 N s. C) 7.3 N s. D) 9.6 N s. E) 34.3 N s. s.

F) A) and B)
G) None of the above

Correct Answer

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A 3.0-kg object moving in the positive x direction has a one-dimensional elastic collision with a 5.0-kg object initially at rest. After the collision the 5.0-kg object has a velocity of 6.0 m/s in the positive x direction. What was the initial speed of the 3.0 kg object?


A) 6.0 m/s
B) 7.0 m/s
C) 4.5 m/s
D) 8.0 m/s
E) 5.5 m/s

F) All of the above
G) B) and E)

Correct Answer

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D

When the rate of burn and the exhaust velocity are constant, a rocket ascends with


A) decreasing acceleration.
B) decreasing velocity.
C) constant velocity.
D) constant acceleration.
E) increasing acceleration.

F) A) and B)
G) A) and C)

Correct Answer

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A 2000-kg truck traveling at a speed of 6.0 m/s makes a 90° turn in a time of 4.0 s and emerges from this turn with a speed of 4.0 m/s. What is the magnitude of the average resultant force on the truck during this turn?


A) 4.0 kN
B) 5.0 kN
C) 3.6 kN
D) 6.4 kN
E) 0.67 kN

F) B) and D)
G) C) and D)

Correct Answer

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Two bodies with masses m1 and m2 are both moving east with velocities of magnitudes v1 and v2, where v1 is less than v2. The magnitude of the velocity of the center of mass of this system of two bodies is


A) less than v1.
B) equal to v1.
C) equal to the average of v1 and v2.
D) greater than v1 and less than v2.
E) greater than v2.

F) B) and D)
G) All of the above

Correct Answer

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A 3.00-kg stone is dropped from a 39.2 m high building. When the stone has fallen 19.6 m, the magnitude of the impulse it has received from the gravitational force is


A) 9.80 N
A 3.00-kg stone is dropped from a 39.2 m high building. When the stone has fallen 19.6 m, the magnitude of the impulse it has received from the gravitational force is A) 9.80 N s. B) 19.6 N s. C) 29.4 N s. D) 58.8 N s. E) 118 N s. s.
B) 19.6 N
A 3.00-kg stone is dropped from a 39.2 m high building. When the stone has fallen 19.6 m, the magnitude of the impulse it has received from the gravitational force is A) 9.80 N s. B) 19.6 N s. C) 29.4 N s. D) 58.8 N s. E) 118 N s. s.
C) 29.4 N
A 3.00-kg stone is dropped from a 39.2 m high building. When the stone has fallen 19.6 m, the magnitude of the impulse it has received from the gravitational force is A) 9.80 N s. B) 19.6 N s. C) 29.4 N s. D) 58.8 N s. E) 118 N s. s.
D) 58.8 N
A 3.00-kg stone is dropped from a 39.2 m high building. When the stone has fallen 19.6 m, the magnitude of the impulse it has received from the gravitational force is A) 9.80 N s. B) 19.6 N s. C) 29.4 N s. D) 58.8 N s. E) 118 N s. s.
E) 118 N
A 3.00-kg stone is dropped from a 39.2 m high building. When the stone has fallen 19.6 m, the magnitude of the impulse it has received from the gravitational force is A) 9.80 N s. B) 19.6 N s. C) 29.4 N s. D) 58.8 N s. E) 118 N s. s.

F) A) and B)
G) C) and D)

Correct Answer

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A ball of mass mB is released from rest and acquires velocity of magnitude vB before hitting the ground. The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is


A) 0.
B)
A ball of mass m<sub>B</sub> is released from rest and acquires velocity of magnitude v<sub>B</sub> before hitting the ground. The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is A) 0. B) . C) . D) 1 E) . .
C)
A ball of mass m<sub>B</sub> is released from rest and acquires velocity of magnitude v<sub>B</sub> before hitting the ground. The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is A) 0. B) . C) . D) 1 E) . .
D) 1
E)
A ball of mass m<sub>B</sub> is released from rest and acquires velocity of magnitude v<sub>B</sub> before hitting the ground. The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is A) 0. B) . C) . D) 1 E) . .

F) C) and D)
G) A) and B)

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At the instant a 2.0-kg particle has a velocity of 4.0 m/s in the positive x direction, a 3.0-kg particle has a velocity of 5.0 m/s in the positive y direction. What is the speed of the center of mass of the two-particle system?


A) 3.8 m/s
B) 3.4 m/s
C) 5.0 m/s
D) 4.4 m/s
E) 4.6 m/s

F) D) and E)
G) A) and E)

Correct Answer

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A 0.28-kg stone you throw rises 34.3 m in the air. The impulse your hand receives from the stone while it throws the stone is


A) 2.7 N
A 0.28-kg stone you throw rises 34.3 m in the air. The impulse your hand receives from the stone while it throws the stone is A) 2.7 N s, up. B) 2.7 N s, down. C) 7.3 N s, up. D) 7.3 N s, down. E) 9.6 N s, up. s, up.
B) 2.7 N
A 0.28-kg stone you throw rises 34.3 m in the air. The impulse your hand receives from the stone while it throws the stone is A) 2.7 N s, up. B) 2.7 N s, down. C) 7.3 N s, up. D) 7.3 N s, down. E) 9.6 N s, up. s, down.
C) 7.3 N
A 0.28-kg stone you throw rises 34.3 m in the air. The impulse your hand receives from the stone while it throws the stone is A) 2.7 N s, up. B) 2.7 N s, down. C) 7.3 N s, up. D) 7.3 N s, down. E) 9.6 N s, up. s, up.
D) 7.3 N
A 0.28-kg stone you throw rises 34.3 m in the air. The impulse your hand receives from the stone while it throws the stone is A) 2.7 N s, up. B) 2.7 N s, down. C) 7.3 N s, up. D) 7.3 N s, down. E) 9.6 N s, up. s, down.
E) 9.6 N
A 0.28-kg stone you throw rises 34.3 m in the air. The impulse your hand receives from the stone while it throws the stone is A) 2.7 N s, up. B) 2.7 N s, down. C) 7.3 N s, up. D) 7.3 N s, down. E) 9.6 N s, up. s, up.

F) A) and C)
G) All of the above

Correct Answer

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