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.
$W_{f} + W_{N} + W_{g} = Δ K W_{N} = 0, W_{f} = - μ m g l W_{g} = m g (h - h') a n d Δ K = 0 - μ m g l + m g (h - h') = 0 h' = h - μ l = 5 - 1 / 2 \times 8 = 1 m$

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Q. A block is released from rest 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 coefficient of friction of the rough surface is

μ = 0.5

, find

h^{^{'}}

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
$m$ .