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19 August, 20:07

Buffy is rolling along in her 10.4 kg wagon at 3.4 m/s (in the positive direction) when she jumps off the back. She continues to move forward at 1.7 m/s relative to the ground. This causes her wagon to go speeding forward at 8.04 m/s relative to the ground. How much does Buffy weigh

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  1. 19 August, 20:33
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    Buffy weigh's 28.39 kg

    Explanation:

    Given;

    mass of Buffy and wagon, M = 10.4 kg

    final velocity of Buffy - wagon system, v = 3.4 m/s

    Buffy's velocity relative to the ground, u₁ = 1.7 m/s

    Wagon's velocity relative to the ground, u₂ = 8.04 m/s

    Buffy's velocity = 1.7 - 3.4 = - 1.7 m/s

    Wagon's velocity = 8.04 - 3.4 = 4.64 m/s

    Apply the principle of conservation of linear momentum;

    1.7 x m = 4.64 x 10.4

    where;

    m is mass of wagon

    1.7 m = 48.256

    m = 48.256 / 1.7

    m = 28.39 kg

    Therefore, Buffy weigh's 28.39 kg
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