A truck with mass m has a brake failure while going down an icy mountain road

A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle α. Initially the truck is moving downhill at speed vo. After careening downhill a distance L with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle β The truck ramp has a soft sand surface for which the coefficient of rolling friction is μ r. What is the distance that the truck moves up the ramp before coming to a halt? Solve using energy methods.