First slide

Law of conservation of momentum and it's applications

Question

A bullet of mass 50 gram is fired from a 5 kg gun with a velocity of 1km/s. the speed of recoil of the gun is

Moderate

A

5 m/s
B

1 m/s
C

0.5 m/s
D

10 m/s

Solution

According to conservation of momentum
$m_{B} v_{B} + m_{G} v_{G} = 0 \Rightarrow v_{G} = - \frac{m_{B} v_{B}}{m_{G}}$
$v_{G} = \frac{- 50 \times 10^{- 3} \times 10^{3}}{5} = - 10 m / s$

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