Question

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.

Answer 1

Friction is only force which is changing mechanical energy of system.
`W_(f riction)=DeltaME`.
`-mu_kmgdcostheta=(mgy_(max)-mgh)`
where `d=(y_(max))/(sintheta)` `:.mgy_(max)=mgh-mu_kmgy_(max)cottheta`
Solving, `y_(max)=(h)/(1+mu_kcottheta)`