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14 September, 21:58

A 10 m long glider with a mass of 680 kg (including the passengers) is gliding horizontally through the air at 30 m/s when a 68 kg skydiver drops out by releasing his grip on the glider. What is the magnitude of the glider's velocity just after the skydiver lets go?

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  1. 14 September, 22:16
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    v = 30.39 m/s

    Explanation:

    given,

    mass of glider, M = 680 Kg

    mass of the skydiver, m = 68 Kg

    horizontal velocity, V = 30 m/s

    when skydiver releases, velocity, v = 30 m/s

    velocity if the glider, v' = ?

    use the conservation of momentum

    M V = m' v' + m v

    m' = 680-68 = 612 Kg

    680 x 30 = 612 x v + 60 x 30

    612 v = 18600

    v = 30.39 m/s

    since the skydiver's speed will be the same as before release

    The glider should continue to travel at 30.39 m/s since there are no external forces acting on it
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