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

Explanation

`(K _(r))/(K _(r) +K _(R)) = ((1)/(2) mv ^(2))/( (1)/(2) mv ^(2) + (1)/(2) xx (1)/(2) I omega ^(2))`
`implies ((1)/(2) mv ^(2))/( (1)/(2)mv ^(2) + (1)/(2) xx (2)/(5) mR ^(2) ((v ^(2))/( R ^(2))) ) = (5)/(7)`