Work Energy And Power Question 108

Question: A space craft of mass M is moving with velocity V and suddenly explodes into two pieces. A part of it of mass m becomes at rest, then the velocity of other part will be [RPMT 1999]

Options:

A) $ \frac{MV}{M-m} $

B) $ \frac{MV}{M+m} $

C) $ \frac{mV}{M-m} $

D) $ \frac{(M+m)V}{m} $

Show Answer

Answer:

Correct Answer: A

Solution:

After explosion m mass comes at rest and let Rest $ (M-m) $ mass moves with velocity v. By the law of conservation of momentum $ MV=(M-m)v $
therefore $ v=\frac{MV}{(M-m)} $



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