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17 April, 14:26

11. Hans and Frans are two workers being considered for a job at the UPS loading dock. Hans boasts that he can lift a 100 kg box 2.0 meters vertically, in 3.0 seconds. Frans counters with his claim of lifting a 200 kg box 5.0 meters vertically, in 20 seconds. Which worker is more powe

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  1. 17 April, 18:04
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    Hans is more powerful

    Explanation:

    Power: This can be defined as the rate at which work is done or energy is used up.

    The expression for power is given as,

    P = E/t

    P = mgh/t ... Equation 1

    Where P = power, W = Work, t = time, m = mass, h = height, g = acceleration due to gravity.

    Hans' power

    P = mgh/t

    Given: m = 100 kg, h = 2 m, g = 9.8 m/s², t = 3 s

    Substitute into equation 1

    P = 100 (9.8) (2) / 3

    P = 653.33 W.

    Frans' power

    P' = mgh/t

    Given; m = 200 kg, h = 5 m, t = 20 s.

    P' = 200 (5) (9.8) / 20

    P' = 9800/20

    P' = 490 W

    from the above,

    since P>P'

    Hence, Hans is more powerful
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