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A Solid Ball of Mass 1

Question 118

Essay

A solid ball of mass 1.0 kg and radius 10 cm rolls with a forward speed of 10 m/s when it
comes to a hill. There is enough friction on the hill to keep the ball from slipping as it rolls
up.
(a) How high vertically up the hill can the ball roll before coming to rest?
(b) How high vertically could the ball go if the hill were totally frictionless?
(c) How is it that the ball can go higher with friction than without friction?

Correct Answer:

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(a) 7.1 m (b) 5.1 m
(c) With friction, a...

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