First slide

Law of conservation of momentum and it's applications

Question

A space craft of mass 'M' and moving with velocity 'v' suddenly breaks in two pieces of same mass m. After the explosion one of the mass 'm' becomes stationary. What is the velocity of the other part of craft

Moderate

A

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

v
C

$\frac{Mv}{m}$
D

$\frac{M - m}{m} v$

Solution

By the principle of conservation of linear momentum,
$Mv = {mv}_{1} + {mv}_{2} \Rightarrow Mv = 0 + (M - m) v_{2} \Rightarrow v_{2} = \frac{Mv}{M - m}$

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