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

The expression for total kinetic energy of the system is given as, `T=K.E+K.E_(rotational)`
`(1)/(2)(2m)v^(2)+(1)/(3)mv^(2)`
=` mv^(2)+(1)/(3)mv^(2)`
`(4)/(3)mv^(2)`.