When a sphere rolls without slipping the ratio of its kinetic energy of translation to its total kinetic energy is.

Options

A. `5//7`
B. `7//10`
C. `2//7`
D. none of these

Answer

A

Explanation

`(1/2 mv^(2))/(1/2 mv^(2)+1/2Iomega^(2))=(1/2mv^(2))/(1/2mv^(2)+1/2 2/5mr^(2)(v/r)^(2))=5/7`