(solution) An empty crate slides down a ramp, starting with a speed v0 and

(solution) An empty crate slides down a ramp, starting with a speed v0 and

An empty crate slides down a ramp, starting with a speed v0 and reaching the bottom with a speed v and kinetic energy K. Some books are placed in the crate, so the total mass is tripled. The coefficient of kinetic friction is constant, and air resistance is negligible. Starting again with v0 at the top of the ramp, what are the speed and kinetic energy at the bottom? (Use any variable or symbol stated above as necessary.)