A bullet of mass 20 g is horizontally fired with a horizontal velocity 150 ms-1 from a pistol of mass 2 kg. What is the recoil velocity of the pistol?
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⚘ Question:
A bullet of mass 20 g is horizontally fired with a horizontal velocity 150 ms-1 from a pistol of mass 2 kg. What is the recoil velocity of the pistol?
⚘ Answer:
Bullet (first body)
⇢m₁ = 20g (20/1000) = 0.02kg
⇢u₁ = 0
⇢v₁ = 150m/s
Pistol (second body)
⇢m₂ = 2kg
⇢u₂ = 0
⇢v₂ = ? (recoil velocity)
According to law of conservation of momentum, m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
➺ (0.02×0) + (2×0) = (0.02×150) + (2v₂)
➺ 0 = 3 + 2v₂
➺ 2v₂ = -3
➺ v₂ = -3/2
➺ v₂ = -1.5 m/s
Therefore the recoil velocity = -1.5m/s
Here the negative sign indicates that the direction in which the the pistol would recoil is opposite to that of the bullet.
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