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11 November, 23:07

A 1200-kg cannon suddenly fires a 100-kg cannonball at 35 m/s. what is the recoil speed of the cannon? assume that frictional forces are negligible and the cannon is fired horizontally.

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  1. 11 November, 23:11
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    Recoil velocity of cannon = 2.92 m/s

    Explanation:

    By law of conservation of momentum, we have momentum of cannon = momentum of cannonball.

    Mass of cannon = 1200 kg

    Mass of cannon ball = 100 kg

    Velocity of cannon ball = 35 m/s

    We have, Momentum of cannon = momentum of cannon ball

    1200 x v = 100 x 35

    v = 3500/1200 = 2.92 m/s

    Recoil velocity of cannon = 2.92 m/s
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