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Question

A block is released from a height h=5 m. After travelling through the smooth curved surface, it moves on the rough horizontal surface through a length l=8 m and climbs onto the other smooth curved surface through a height h
. If μ=0.5, then h is
m.


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Solution

The forces acting on the block are N, gravity and friction.
Wf+WN+Wg=ΔKWN=0,Wf=μmglWg=mg(hh')andΔK=0μmgl + mg(hh')=0h'= hμl =51/2×8=1m

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