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

Options

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

Answer

C

Explanation

Total energy = KE + rotational KE
`= (1)/(2) (2m)v^(2)+(1)/(3)mv^(2)=(4)/(3)mv^(2)`.