A solid sphere is in rolling motion. In rolling motion a body prosseses translational kinetic energy `(K_(t))` as well as rotational kinetic energy `(K_(r))` simutaneously. The ratio
`K_(t) : (K_(t) + K_(r))` for the sphere is

Options

A. `10 : 7`
B. `2 : 5`
C. `5 : 7`
D. `7 : 10`

Answer

C

Explanation

`(K_(t))/(K_(t) + K_(r)) = (1)/(1 + (k^(2))/(R^(2))) = (1)/(1 + (2)/(5)) = (5)/(7)`