A gun of mass 500g fires a bullet of mass 30g moving with a speed of 100ms. Find the momentum of the gun and the bullet together and recoil velocity of the gun
Answers
Momentum of the gun = m × v
= 500 g * x m/s
= 1/2 kg * x m/s
= 1/2 x kg m/s
Momentum of the bullet = m * v
= 30 g * 100 m/s
=0.03 kg * 100 m/s
= 3 kg m/s
Momentum of bullet = Momentum of gun
Mass of bullet * Velocity of bullet = Mass of gun * Recoil velocity of gun
30 g ( 0.03 kg ) * 100 m/s = 500 g ( 1/2 kg ) * x m/s
3 kg m/s = 1/2 x kg m/s
3 * 2/1 = x
6 = x
Hence the recoil velocity of the gun is 6 m/s.
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