First slide

Law of conservation of momentum and it's applications

Question

A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be

Moderate

A

v
B

2v
C

$\frac{3}{4} v$
D

$\frac{4}{3} v$

Solution

According to conservation of momentum
$mv = (\frac{m}{4}) v_{1} + (\frac{3 m}{4}) v_{2} \Rightarrow v_{2} = \frac{4}{3} v$

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