A space craft of mass M is travelling in space with velocity v. It then breaks up into two parts such that the smaller part m comes to the rest, then the velocity of the remaining part is-

Options

A. `(MV)/(M-m)`
B. `(MV)/(M+m)`
C. `(mV)/(M-m)`
D. `((M+n)V)/(m)`

Answer

A

Explanation

After explosion m mass comes at rest and let Read (M-m) mass moves with velocity v
By the law of conservation of momentum MV= (M-m)v `rArr v= (MV)/((M-m))`