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10 March, 10:23

A young hockey player stands at rest on the ice holding a 1.3-kg helmet. The player tosses the helmet directly in front of him with a speed of 6.0 m/s and recoils with a speed of 0.25 m/s.

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  1. 10 March, 11:26
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    Answer

    given,

    initial speed of hockey player = 0 m/s

    mass of the helmet, m = 1.3 Kg

    initial speed of the helmet, u = 0 m/s

    final speed of the helmet, v = 6 m/s

    recoil speed of the hockey player, v' = 0.25 m/s

    we need to calculate the mass of the hockey player, M = ?

    using conservation of momentum

    m u + M u' = M v' + m v

    initial speed of ice skater is zero

    1.3 x 0 + M x 0 = M x (-0.25) + 1.3 x 6

    negative sign is taken because recoil velocity is in opposite direction

    0 = - 0.25 M + 7.8

    0.25 M = 7.8

    M = 31.2 Kg

    Hence, the mass of the young hockey player is equal to 31.2 Kg
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