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30 October, 20:32

A bowling ball of mass 4 kg moves in a straight line at 3.93 m/s. How fast must a Ping-Pong ball of mass 2.293 g move in a straight line so that the two balls have the same momentum? Answer in units of m/s

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  1. 30 October, 20:42
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    M = mass of the bowling ball = 4 kg

    V = speed of bowling ball = 3.93 m/s

    P = magnitude of momentum of bowling ball = ?

    magnitude of momentum of bowling ball is given as

    P = MV

    inserting the values

    P = 4 x 3.93

    P = 15.72 kgm/s

    m = mass of ping-pong ball = 2.293 g = 2.293 x 10⁻³ kg

    v = speed of the ping-pong ball = ?

    p = magnitude of momentum of ping-pong ball

    Given that:

    magnitude of momentum of ping-pong ball = magnitude of momentum of bowling ball

    p = P

    m v = 15.72

    (2.293 x 10⁻³) v = 15.72

    v = 6.86 x 10³ m/s
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