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COM in Collision and Explosion

A 15g bullet ...

Question

A 15g bullet is fired from a gun of mass 3 kg. If the speed of bullet just after firing is $300 m / s^{- 1}$ , what is the recoil speed of gun.

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Solution

$M_{B} = 15 g$
$M_{g u n} = 3 k g$
Ref. image
Since no Extra force $f_{e x t} = 0$
Momentum is conserved.
$M_{g} U_{g} = M_{B} U_{B}$
$3 \times U_{g} = 15 \times 10^{- 3} \times 300$
$U_{g} = 1.5 m / s$

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