Question

A block is released from a height $h=5m$. 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 $h^{\prime }$
. If $\mu =0.5$, then $h^{\prime }$ is
$m$.

Answer 1

The forces acting on the block are $N$, gravity and friction.
$W_f+W_N+W_g=\Delta K{W}_N=0,W_f=-\mu mgl{W}_g=mg(h-h\text{'})and\Delta K=0-\mu mgl+mg(h-h\text{'})=0h\text{'}=h-\mu l=5-1/2\times 8=1m$