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1 June, 02:34

A motor-driven winch pulls a 50.0 kg student 5.00 m up the rope at a constant speed of 1.25 m/s. how much power does the motor use in raising the student? how much work does the motor do on the student?

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  1. 1 June, 05:27
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    Power is the rate work done given by dividing work done by unit time. It is measured in watts equivalent to J/s.

    In this case the force by the student is mg = 490 N (taking g as 9.8m/s²)

    Work done is given by force * distance,

    Therefore, Power = (force * distance) / time, but velocity/speed = distance/time

    Thus, Power = force * speed/velocity

    = 490 N * 1.25

    = 612.5 J/S (Watts)

    Hence, power will be 612.5 Watts.
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