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4 January, 21:54

Billy goes ice skating with his friend Sally. While they are both standing on the ice before skating Billy pushes Sally. What is Billy's (m = 55 kg) velocity after he pushes Sally if Sally has a mass of 45 kg and moves off at 2.5 m/s?

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  1. 4 January, 23:52
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    The velocity of Billy is, V = - 2.05 m/s

    Explanation:

    Given data,

    The mass of Sally, m = 45 kg

    The mass of Billy, M = 55 kg

    Sally's velocity, v = 2.5 m/s

    Billy's velocity, V = ?

    According to the law of conservation of momentum,

    mv + MV = 0

    V = - (mv/M)

    V = - (45 x 2.5 / 55)

    = - 2.05 m/s

    Hence, the velocity of Billy is, V = - 2.05 m/s
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