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16 September, 12:36

A moving car has kinetic energy. If it speeds up until it is going four times faster than before, how much kinetic energy does it have in comparison?

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  1. 16 September, 15:40
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    Ratio of final kinetic energy to initial kinetic energy is 16.

    Explanation:

    Kinetic energy, KE = 0.5mv²

    Here car speeds up to four times the initial speed, we need to find ratio of final kinetic energy to initial kinetic energy.

    Final speed = 4 x Initial speed = 4v

    Initial KE = 0.5mv²

    Final KE = 0.5 x m x (4v) ²

    Final KE = 16 x 0.5 x m x v²

    Final KE = 16 x Initial KE

    Ratio of final kinetic energy to initial kinetic energy is 16.
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