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31 January, 13:34

A student wearing frictionless in-line skates on a horizontal surface is pushed by a friend with a constant force of 47 N. How far must the student be pushed, starting from rest, so that her final kinetic energy is 354 J?

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  1. 31 January, 13:49
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    7.53 m

    Explanation:

    Force, F = 47 N

    initial velocity, u = 0

    Final kinetic energy, Kf = 354 J

    Let the distance traveled by the student is s.

    According to the work energy theorem,

    Work done by all forces = Change in kinetic energy

    Force x distance = final kinetic energy - initial kinetic energy

    F x s = kf - ki

    47 x s = 354

    s = 7.53 m
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