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13 March, 01:22

A 10kg sphere hits a stationary 8kg sphere. After the collision the 8kg sphere moves off in the positive direction at 4m/s. If the 10kg sphere was originally moving at 10m/s, what is its velocity after the collision?

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  1. 13 March, 02:40
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    M = mass of the first sphere = 10 kg

    m = mass of the second sphere = 8 kg

    V = initial velocity of the first sphere before collision = 10 m/s

    v = initial velocity of the second sphere before collision = 0 m/s

    V' = final velocity of the first sphere after collision = ?

    v' = final velocity of the second sphere after collision = 4 m/s

    using conservation of momentum

    M V + m v = M V' + m v'

    (10) (10) + (8) (0) = (10) V' + (8) (4)

    100 = (10) V' + 32

    (10) V' = 68

    V' = 6.8 m/s
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