A man is lifting a piano that weighs 800 N through a distance of 10 meters using a pulley system. The man pulls the rope a total distance of

Question

A man is lifting a piano that weighs 800 N through a distance of 10 meters using a pulley system. The man pulls the rope a total distance of 100m. What force does the man need to apply to the rope?

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Tryphena 4 years 2021-08-04T02:11:46+00:00 1 Answers 13 views 0

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    2021-08-04T02:13:27+00:00

    Answer:

    The force the man applied is 80 N

    Explanation:

    weight of the load, L = 800 N

    distance traveled by the load, a = 10 m

    distance traveled by the effort, b = 100 m

    Output work = load x distance moved by the load

    Output work = 800 x 10 = 8000 J

    Input work = Effort x distance moved by effort

    Input work = Effort x 100 m

    Assuming an ideal machine; no friction effect, the input work will be equal to output work.

    Effort x 100 m = 8000 J

    Effort = 8000 / 100

    Effort = 80 N

    Therefore, the force the man applied is 80 N

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