A uniform solid cylinder of mass and radius rolls without slipping across a…

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

Problem

A uniform solid cylinder of mass

2.0\,\text{kg}

and radius

0.30\,\text{m}

rolls without slipping across a horizontal surface at a linear speed of

4.0\,\text{m\,s}^{-1}

. The cylinder’s moment of inertia about its central axis is

I_{\text{cm}} = \tfrac{1}{2}MR^{2}

. What is the cylinder’s total kinetic energy? (a)

16\,\text{J}

(b)

32\,\text{J}

(c)

24\,\text{J}

(d)

22\,\text{J}