A sphere of radius r starts from rest and rolls without slipping along a curved surface, dropping through a vertical distance of 0.500 m. Find the final speed v of the sphere’s center of mass.

Answer 1

Look up the moment of inertial for s solid sphere.

notice, when rolling, w=vr

energy in fall=rolling KE, and translational KE

mgh=1/2 *I v^2r+1/2 mv^2
put I in, and solve for v.