weight of rifle is 4 kg , weight of bullet is 5.0 *10^-3 with velocity 500 calculated velocity acquired by rifle
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Given,
- Mass of the rifle (M₁) = 4 kg
- Mass of the bullet (M₂) = 5×10⁻³ kg
- Recoil velocity of the rifle (V₁) = x m/s
- Bullet is fired with an initial velocity (V₂) = 35 m/s
Initially, the rifle is at rest.
Thus, its initial velocity, v = 0
Total initial momentum of the rifle and bullet system = (M₁ + M₂)v = 0
Total momentum of the rifle and bullet system after firing: = M₁V₁ + M₂V₂
Total momentum = 0.05 - 35 = 4V₁ + 1.75
According to the law of conservation of momentum:
Total momentum after the firing = Total momentum before the firing 4V₁ + 1.75 = 0
Total Momentum = -1.75 / 4= -0.4375 m/s
The negative sign indicates that the rifle recoils backwards with a velocity of 0.4375 m/s.
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