Question

a Bullet of mass 19G is fired from a gun of mass 6kg with a velocity of 280m/s.
the magnitude of velocity of the recoil experienced by the gun is
(give the answer correct upto 3 decimal places)​

Answer 1

The initial momentum of the system Pi = 0

Given ,

Mass of bullet = 0.019 kg

Velocity of bullet = 280 m/s

Mass of Gun = 6 kg

Let the recoil velocity of gun be V.

Applying the conservation of linear momentum

Pf = Pi

or, (Mass of Gun × V) + (Mass of bullet × Velocity of bullet) = 0

or, (6 × V) + (0.019 × 280) = 0

or, V = - 0.886 m/s (ans.)