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15 October, 09:33

A railway wagon of mass 20t is moving along a level track at 10km/h when it collides and couples together with a second wagon of mass 25t moving in the

same direction at 5km/h. If the two wagons couple together after the impact, what would be their common velocity?

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  1. 15 October, 11:03
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    Using conservation of momentum, you have the total initial momentum in the system is wqual to the total final momentum in the system.

    mv + mv = mv

    plug in all the values

    (20t) (10) + (25t) (5) = (45t) Vfinal

    distribute everything

    200t + 125t = 45t Vf

    simplify

    325t = 45t Vf

    divide both sides by 45t

    7.22 = Vf

    So their final common velocity is 7.22km/h in the same direction as they were travelling before
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