Question

A 150gm bullet is fired from 15 kg gun with the velocity of 1000m/s What is the velocity of the recoil of the gun?

Answer 1

Given that,

• Mass of bullet = 160 grams (M1)
• Velocity of the gun = 1000 m/s (V1)
• Mass of gun = 15 kg = 15000 grams (M2)
• Recoil velocity of the gun = ? (V2)

According to law of conservation of linear momentum,

• M1V1 = M2V2

According to Newton's third lae of motion,

• M1V1 = -M2V2
• -V2 = M1V1/M2
• -V2 = 160 g × 1000 m/s / 15000 g
• -V2 = 106.6 m/s
• V2 = 106.6 m/s

Therefore, the recoil Velocity of the gun is 106.6 m/s

[ Negative sign shows that the gun is recoiling in the opposite direction ]

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