A solid sphere of mass and radius rolls without slipping across a horizontal surface…

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

rolls without slipping across a horizontal surface with center-of-mass speed

v

. The sphere’s moment of inertia about its center is

I=\tfrac25 M R^{2}

. What fraction of the sphere’s total kinetic energy is rotational? (a)

\dfrac25

(b)

\dfrac27

(c)

\dfrac13

(d)

\dfrac49