A thin hollow sphere of mass `m` is completely filled with non viscous liquid of mass `m`. When the sphere roll-on horizontal ground such that centre moves with velocity `v`, kinetic energy of the system is equal to

Options

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

Answer

3

Explanation

`(3) KE =1/2 mv^(2)+1/2 2/3 mR^(2) (V/R)^(2)+1/2 mv^(2)`
`=(mv^(2))/2(1+2/3+1)`
`=(4mv^(2))/3`