a bullet of mass 20 gm is fired from a pistol of 2 kg if velocity of bullet is.150m the find the recoil velocity
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According to Law of conseravtion of momentum ,
Let recoil velocity be x
Momentum of Pistol = Momentum of Bullet
2x = 1/50 × 150
2x = 3
x = 3/2
Let recoil velocity be x
Momentum of Pistol = Momentum of Bullet
2x = 1/50 × 150
2x = 3
x = 3/2
Answered by
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Answer:
1.5m/s
Explanation:
Mass of bullet=M₁=20g=0.02kg
Mass of gun=M₂=2kg
velocity of bullet initially at rest=u₁=0m/s
velocity of gun initially=u₂=0m/s
velocity of bullet after firing=v₁=150m/s
velocity of gun after firing=v₂
according to law of conservation of momentum,
M₁u₁+M₂u₂=M₁v₁+M₂v₂
=0.02×0+2×0=0.02×150+2×v₂
=0+0=3+2v₂
= -3=2v₂
v₂=
v₂=-1.5m/s
the recoil velocity of the bullet is 1.5m/s
Negative sign indicates that the direction in which the pistol would recoil is opposite to that of bullet
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