Two identical solid cylinders

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

Problem

Two identical solid cylinders, each of mass

3.0\,\text{kg}

and radius

0.15\,\text{m}

, move across a horizontal surface at

4.0\,\text{m\,/\,s}

. Cylinder A rolls without slipping, while cylinder B slides without rotating. The moment of inertia of a solid cylinder about its center is

I=\tfrac{1}{2}MR^{2}

. By what factor is the total kinetic energy of cylinder A greater or smaller than that of cylinder B?