Question

A bicycle and its owner roll down a hill dropping in altitude 4.0 m, ending up...

A bicycle and its owner roll down a hill dropping in altitude 4.0 m, ending up on level ground. The mass of the cycle plus bicyclist is 70.0 kg. We ignore the effect of friction in the first two questions.
A. If the bicycle starts initially at rest, find the speed of the bicycle when it reaches level ground.
B. If instead the bicycle starts with an initial speed of 4.0 m/s, find the speed of the bicycle when it reaches level ground.
C. Suppose than frictional forces dissipated 400 J of energy while the bike rolls down the hill. Assuming an initial speed of 4.0 m/s, find the speed of the bike when it reaches level ground.

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