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3 February, 03:56

A man pulls a 50 kilogram box 20 meters across the floor with the aid of a rope tied to the box. The rope makes an angle of 30 degrees with the horizontal. In pulling the box the man exerts a force of 100 newtons. How much work is done by the man?

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  1. 3 February, 07:17
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    1732.05 J

    Explanation:

    The man is doing 100N of force on the rope at an angle of 30° where he is pulling a box 20 meters across the floor.

    Work is equal to the force exerted in the direction of motion multiplied by the distance.

    Mathematically, Work=F*D*CosineФ

    where F=force in newtons

    D=displacement in meters

    Ф=the angle between the force vector and the direction of motion

    Substitute values in formula

    Work=100*20*cosine 30°

    Work=100*20*0.86602540378

    Work=1732.05 J
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