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A 6.0-kg object moving 5.0 m/s collides with and sticks to a 2.0-kg object. After the collision the composite object is moving 2.0 m/s in a direction opposite to the initial direction of motion of the 6.0-kg object. Determine the speed of the 2.0-kg object before the collision.


A) 15 m/s
B) 7.0 m/s
C) 8.0 m/s
D) 23 m/s
E) 11 m/s

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

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A 4.0-kg mass, initially at rest on a horizontal frictionless surface, is struck by a 2.0-kg mass moving along the x axis with a speed of 8.0 m/s. After the collision, the 2.0-kg mass has a speed of 4.0 m/s at an angle of 37° from the positive x axis. What is the speed of the 4.0-kg mass after the collision?


A) 2.0 m/s
B) 2.7 m/s
C) 4.9 m/s
D) 2.4 m/s
E) 3.6 m/s

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

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


A) 2.7 N
A 0.28-kg stone you throw rises 34.3 m in the air. The impulse the stone receives from your hand while being thrown 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 the stone receives from your hand while being thrown 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 the stone receives from your hand while being thrown 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 the stone receives from your hand while being thrown 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 the stone receives from your hand while being thrown 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) B) and C)
G) None of the above

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In an elastic collision between two bodies of mass m1 and m2, with m2 initially at rest, mass 1 moves off at angle θ relative to the direction of its initial velocity and mass 2 at angle φ. An exam paper shows the equations below: m1v1i 0 = m1v1f cosθ + m2v2f sinφ = m1v1f sinθ + m2v2f cosφ What error(s) has the student made?


A) In the first equation, m2v2f sinφ should be m2v2f cosφ.
B) In the second equation, m2v2f cosφ should be m2v2f sinφ.
C) In the second equation, the plus sign between the terms on the right should be a minus sign.
D) All of the errors listed above.
E) Only errors (a) and (b) above.

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

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At an instant when a particle of mass 80 g has a velocity of 25 m/s in the positive y direction, a 75-g particle has a velocity of 20 m/s in the positive x direction. What is the speed of the center of mass of this two-particle system at this instant?


A) 16 m/s
B) 45 m/s
C) 23 m/s
D) 20 m/s
E) 36 m/s

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

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If you know the impulse that has acted on a body of mass m you can calculate


A) its initial velocity.
B) its final velocity.
C) its final momentum.
D) the change in its velocity.
E) its acceleration during the impulse.

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

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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 the Earth has received from the gravitational force exerted by the stone 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 the Earth has received from the gravitational force exerted by the stone 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 the Earth has received from the gravitational force exerted by the stone 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 the Earth has received from the gravitational force exerted by the stone 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 the Earth has received from the gravitational force exerted by the stone 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 the Earth has received from the gravitational force exerted by the stone 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) B) and E)
G) B) and C)

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A pitcher claims he can throw a baseball with as much momentum as a 3.00-g bullet moving with a speed of 1500 m/s. A baseball has a mass of 0.145 kg. What must be its speed if the pitcher's claim is valid?

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Two boys in a canoe toss a baseball back and forth. What effect will this have on the canoe? Neglect (velocity-dependent) frictional forces with water or air.


A) None, because the ball remains in the canoe.
B) The canoe will drift in the direction of the boy who throws the ball harder each time.
C) The canoe will drift in the direction of the boy who throws the ball with less force each time.
D) The canoe will oscillate back and forth always moving opposite to the ball.
E) The canoe will oscillate in the direction of the ball because the canoe and ball exert forces in opposite directions upon the person throwing the ball.

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

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