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A bullet a mass m kg is fired horizontally with a velocity v m/s from a pistol of mass M kg. The recoil velocity of the pistol is

A bullet a mass m kg is fired horizontally with a velocity v m/s from a pistol of mass M kg. The recoil velocity of the pistol is Correct Answer -(m/M)v m/s

After firing the bullet, the bullet moves forward with a large momentum and the gun moves backwards with equal momentum.

Fi = Ff

m1u1 + m2u2 = m1v1 + m2v2

0 + 0 = mv + MV

V = - (m/M)v m/s

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