Question

A gun fires a bullet with a speed of 400m/s. What is the recoil velocity of the gun if its mass is 200 times the mass of the bullet?

Answer 1

from law of conservation of momentum and Newton's 3rd law of motion net force=0

so

initial momentum= final momentum

0= momentum of (gun + bullet)

-momentum of gun= momentum of bullet

this negative sign represents opposite direction, but we need just abs values in order to calculate recoil velocity

let mass of bullet be m

then mass of gun= 200m

let the recoil vel. be u.

acc. to eq.,

200m*u= m*400

u= 2 m/s ans

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