Question

When a bullet of mass 50g is fired from a gun of mass 10 kg, the gun recoils with a velocity 2ms. Find the mizzle velocity of the bullet.

Answer 1

When a bullet of mass 50g is fired from a gun of mass 10 kg, the gun recoils with a velocity 2ms. The mizzle velocity of the bullet is
$m=0.05kg,M=10kg,V=2m/s$
Let V be the recoil speed of the gun.
According to the law of conservation of momentum
Initial Momentum = Final Momentum
0 = mv + MV
$V=\frac{-mv}{M}=\frac{-0.05\times 2}{10}$
= - 0.01 m/s