A thin hollow sphere of mass `m` is completely filled with a liquid of mass `m`. What the sphere rolls with a velocity v, kinetic energy of the system is (neglect friciton)

Options

A. `(1)/(2)mv^(2)`
B. `mv^(2)`
C. `(4)/(3)mv^(2)`
D. `(4)/(5)mv^(2)`

Answer

C

Explanation

`"Total energy "="Translational KE"+"Rotational KE"`
`=(1)/(2)(2m)v^(2)+(1)/(3)mv^(2)=(4)/(3)mv^(2)`