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14 March, 00:55

The energy released by the exploding gunpowder in a cannon propels the cannonball forward. Simultaneously the cannon recoils. Which has greater kinetic energy, the launched cannonball or the recoiling cannon?

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  1. 14 March, 01:11
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    The launched cannonball

    Explanation:

    Consider,

    The mass of the cannonball, m

    The mass of the cannon, M = 1000 m

    The velocity of the cannon, V

    The velocity of the cannonball, v = 100 V

    The K. E of the cannon, K. E = ½ MV²

    The K. E of the cannonball, k. e = ½ mv²

    Substituting the values in the K. E of the cannon

    ½ MV² = ½ x 1000 m x (v/100²)

    = ½ mv² / 10

    Therefore, ½ mv² = 10 x ½ MV²

    The K. E of the cannonball is 10 times the K. E of the cannon.

    Hence, the cannonball has a grater K. E
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