First slide

Law of conservation of momentum and it's applications

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

Moderate

A

$\frac{MV}{M - m}$
B

$\frac{MV}{M + m}$
C

$\frac{mV}{M - m}$
D

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

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 $MV = (M - m) v \Rightarrow v = \frac{MV}{(M - m)}$

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