Question

A ten gram bullet is shoot from a 5kg gun with a velocity of 400m/sec. What is the speed of the recoil of the gun?

Answer 1

Answer:

As before firing the bullet both the gun and the bullet were at rest, so the total momentum before firing is zero

after firing the velocity of bullet (v)= 400 m/s, say the velocity of gun is V

mass of bullet (m)= 10/1000 kg , mass of gun (M)= 5 kg

From momentum conservation,

0= mv + MV

V = - (m/M)*v

V = - (10\5000)*400 m/s

V = - 0.8 m/s (Negative sign indicates that velocity of gun and bullet is in opposite direction)

so the recoil velocity of the gun is 0.8 m/s

Explanation:

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