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5.19 A shell of mass 0.020 kg is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 m s-1, what is the recoil speed of the gun?

0 5 Views | Posted 4 months ago
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    Answered by

    Vishal Baghel | Contributor-Level 10

    4 months ago

    The mass of the shell, m = 0.020 kg

    The mass of the gun, M = 100 kg

    Speed of the shell, v = 80 m/s

    The initial velocity of the shell and the gun = 0, so the initial momentum of the system = 0

    Applying the law of conservation of momentum, the initial momentum = final momentum

    0 = mv – MV, where V is the recoil speed of the gun

    V = mv/M = 0.020 * 80 / 100 = 0.016 m/s

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