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27 April, 10:37

A car with a mass of 1245 kg, traveling at + 29 m/s strikes another car (2175 kg) traveling at - 10 m/s. If the two cars are entangled together after the collisions, with what velocity will they travel?

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  1. 27 April, 11:05
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    Refer to the diagrams shown below.

    Consider motion to the right as positive.

    Momentum is defined as Mass x Velocity.

    Therefore momentum of the system before impact is

    P₁ = (1245 kg) * (29 m/s) + (2175 kg) * (-10 m/s) = 14355 (kg-m) / s

    After impact, the two cars coalesce and travel together with velocity v.

    The momentum after impact is

    P₂ = (1245 + 2175 kg) * (v m/s) = 3420v (kg-m) / s

    Because momentum is conserved, therefore

    3420v = 14355

    v = 4.1974 m/s

    Answer: + 4.2 m/s
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