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3 August, 08:01

A cyclist overcomes a resistive force of 30 N in order to cycle 30 m. It takes her 6 seconds to cycle this distance. Calculate the power of the cyclist.

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  1. 3 August, 08:17
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    Power = 15[W]

    Explanation:

    This problem can be solved using the work definition.

    Work is equal to the product of the force by the distance, for this problem we have:

    F = force = 30 [N]

    d = distance = 30 [m]

    w = work = F * d = 30*30 = 900 [J], "units in joules"

    The power is defined as the work done in an interval of time.

    P = w / t

    where:

    t = time [s]

    therefore

    P = w / t

    P = 900 / 6

    P = 150 [W] "units in watts"
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