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?
(a) 7.1 m (b) 5.1 m
(c) With friction, all the initial kinetic energy (translational and rotational) goes into potential energy. Without friction, only the translational kinetic energy goes into potential energy; the ball keeps spinning at the same rate as it goes up, even at the top.
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What will be an ideal response?