height of the incline?

Question

In a circus performance, a monkey is strapped to a sled and both are given an initial speed of 4.9 m/s up a 16 degree inclindes track. The combined mass of monkey and sled is 19kg, and the coefficient of kinetic frictin between sled and incline is 0.31. How far up the incline does the sled move?

Answer 1

The initial kinetic energy=1/2mv^2
the potential energy at height h=mgh
the energy loss due to friction=uNL where N is the normal force and L is path lenght along incline up to height h
Draw a picture , find N and L as a function of h for a 16 degree angle and conserve energy.