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10 December, 19:17

Two boys on skateboards are facing each other. They push off, the first boy (mass: 43.8 kg) traveling backward at 2.1 m/s. If the second boy is now traveling at 3.09 m/s, what is his mass?

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  1. 10 December, 21:04
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    The mass of the second boy is, m = 29.77 kg

    Explanation:

    Given data,

    The mass of first boy, M = 43.8 kg

    The velocity of first boy, V = - 2.1 m/s

    The velocity of second boy, v = 3.09 m/s

    Then mass of second boy, m = ?

    According to the law of conservation of momentum,

    mv + MV = 0

    m = - MV / v

    Substituting the values,

    m = 43.8 x 2.1 / 3.09

    m = 29.77 kg

    Hence, the mass of the second boy is, m = 29.77 kg
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