A bowling ball of mass and radius

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

Problem

1. A bowling ball of mass

M

and radius

R

. whose moment of inertia about its center is

(2 / 5) \mathrm{MR}^{2}

, rolls without slipping along a level surface at speed

v

. The maximum vertical height to which it can roll if it ascends an incline is (A)

\frac{v^{2}}{5 g}

(B)

\frac{2 v^{2}}{5 g}

(C)

\frac{v^{2}}{2 g}

(D)

\frac{7 v^{2}}{10 g}

(E)

\frac{v^{2}}{g}