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11 November, 13:52

If object A has half the mass of object B, but object A moves three times as fast as object B, which object has a greater momentum? Provide proof in your work.

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  1. 11 November, 16:26
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    Answer: Object A

    Explanation:

    If object A has half the mass of object B, that is

    Ma = 1/2Mb

    but object A moves three times as fast as object B. That is

    Va = 3Vb

    Momentum is the product of mass and velocity. (MV)

    Momentum of A = Ma * Va

    = 1/2Mb * 3Vb

    = 3/2MbVb

    Momentum of A = 1.5 MbVb

    Momentum of B = MbVb

    Therefore, object A has the greater momentum.
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