Physics

Problem

A thin hoop and a solid sphere, each of mass

M

and radius

R

, roll without slipping on a horizontal surface. Both have the same translational kinetic energy

K_{\text{trans}}

. What is the ratio of their total kinetic energies

K_{\text{tot, hoop}}/K_{\text{tot, sphere}}

? a)

1

\dfrac{7}{10}

\dfrac{10}{7}

\dfrac{4}{3}