A solid sphere of mass and radius starts from rest and rolls without slipping down a…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A solid sphere of mass

M

and radius

R

starts from rest and rolls without slipping down a rough inclined plane of height

h

. What is the rotational kinetic energy of the sphere when it reaches the bottom? (a)

\dfrac{1}{2} M g h

(b)

\dfrac{2}{5} M g h

(c)

\dfrac{2}{7} M g h

(d)

\dfrac{5}{7} M g h