A block slides down a curved frictionless track and then up an inclined plane as in figure. The coefficient of kinetic friction between the block and incline is `mu_k`. Find the maximum height reached by the clock.

Options

A. `(h)/(1 + mu cos theta)`
B. `(h)/(1 + mu tan theta)`
C. `(h)/(1 + mu cot theta)`
D. `(h)/(mu tan theta)`

Answer

C

Explanation

By WET
`W_(CF) + W_(NF) = Delta K`
`(mgh - mgh') + mu mg cos theta (-S)) = 0`
`mgh - mgh' - mu mg cos theta (h')/(sin theta) = 0`

`rArr h = h' (1 + mu cot that)`
`rArr h' (h)/(1 + mu cot theta)`