Question

A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.8 m down a θ = 36° incline. The sphere has a mass M = 3.2 kg and a radius R = 0.28 m. If there is no frictional force, what is the translational kinetic energy of the sphere at the bottom of the incline?

Answer 1

mgh = 7/10 mv^2
Use trig to find h
solve for v
find 1/2 mv^2