A solid sphere is rolling without slipping on a horizontal plane. The ratio of its rotational kinetic energy and translational kinetic energy is

Options

A. `2/7`
B. `2/5`
C. 1
D. `1/2`

Answer

A

Explanation

`E_(T) = E_("trans") + E_("rot") =1/2mV^(2)+1/2 Iomega^(2)`
`I=2/5 mr^(2), E_(r) =7/10 mV^(2)`
`E_("not")/(E_("trans")) =(1/5 mV^(2))/(7/10 mV^(2)) =2/7`