A man is standing on a cart of mass double the mass of man. Initially cart is at rest. Now, man jumps horiozontally with velocity `u` relative to cart. Then work done by man during the process of jumping will be

Options

A. (a) `(mu^2)/(2)`
B. (b) `(3mu^2)/(4)`
C. (c) `mu^2`
D. (d) None of these

Answer

D

Explanation

`2mv=m(u-v)`

`:. v=u/3`
`:. u-v=(2u)/(3)`
`KE=1/2xxm((2u)/(3))^2+1/2(2m)(u/3)^2`
`=1/3mu^2`