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. A rifle of mass 3 …

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. A rifle of mass 3 kg fires a bullet of mass 0.03 kg .the bullet leaves the rifle with velocity 100m/ find the velocity of recoiling of the gun
  • 1 answers

Yogita Ingle 3 years, 11 months ago

We have,

Mass of the rifle, m₂ = 3 kg

Mass of the Bullet, m₁ = 0.03 kg

The velocity of the bullet, v₁ = 100 m/s

Time taken by bullet to move through the barrel, t = 0.003 s

So,

Initial velocity of rifle, u₂ = 0 m/s.

Initial velocity of bullet, u₁ = 0 m/s.

Final velocity of bullet, v₁ = 100 m/s.

Final velocity of rifle = v₂ m/s.

Now, we know from the law of conservation of momentum,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

So,

(0.03 x 0) + (3 x 0) = (0.03 x 100) + (3 x v₂)

0 = 3 + 3.v₂

v₂ = -1 m/s

Therefore, acceleration of the rifle is given by,

So,

The Force experienced by rifle, therefore, would be,

F = m.a

F = 3.(-333.33)

F ≈ 1000 N

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