What are the energy equations for solving a crate sliding on an inclined plane?

[Leesh09]

Homework Statement

A crate with scientific equipment slides down a curved frictionless side of lunar crater of the depth h, and then up along the other side which is an inclined plane. The coefficient of kinetic friction between crate and incline is k, and the inclined side makes an angle θ with the horizontal. Use energy methods to find the maximum height ymax reached by the crate.

Homework Equations

The Attempt at a Solution

I have no idea where to begin this. Any input would be very helpful.

 

[rl.bhat]

Write down the relevant equations of potential energy, kinetic energy, components of weight on the inclined plane and the expression for frictional force and its direction.