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?

Question

Reed Larson

Physics

7 December, 10:37

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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Answers (1)

Know the Answer?

Reagan Lawson · Answer 1

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