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9 March, 16:06

You're driving in a car at 50 km/h and bump into a car ahead traveling at 48 km/h in the same direction. the speed of impact is

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  1. 9 March, 16:53
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    To solve this problem, we must remember about the law of conservation of momentum. The initial momentum mist be equal to the final momentum, that is:

    m1 v1 + m2 v2 = (m1 + m2) v’

    where v’ is the speed of impact

    Since we are not given the masses of each car m1 and m2, so let us assume that they are equal, such that:

    m1 = m2 = m

    Which makes the equation:

    m v1 + m v2 = (2 m) v’

    Cancelling m and substituting the v values:

    50 + 48 = 2 v’

    2 v’ = 98

    v ‘ = 49 km/h

    The speed of impact is 49 km/h.
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