25.0 m/s 28.0 m
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A solid uniform
ball rolls without slipping up a hill
(Fig.). At the top of the hill,
it is moving horizontally, and then it
goes over the vertical cliff. Neglect
rolling friction and assume the
system’s
total mechanical energy is
conserved. (a) How far from the foot
of the cliff does the ball land, and how fast is it moving just before it
lands? (b) Notice that when the balls lands, it has a greater translational
speed than when it was at the bottom of the hill. Does this mean that the
ball somehow gained energy? Explain! S
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