A thin hoop and a solid sphere

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

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

(b)

\dfrac{7}{10}

(c)

\dfrac{10}{7}

(d)

\dfrac{4}{3}