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## A box is pulled by a force of magnitude 75 N along a horizontal floor. The force makes an angle 36O to the direction of the displacement. Ho

Question

A box is pulled by a force of magnitude 75 N along a horizontal floor. The force makes an angle 36O to the direction of the displacement. How much work is done on the box if it is dragged 150 m along the floor.

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Physics
3 years
2021-08-13T12:52:34+00:00
2021-08-13T12:52:34+00:00 2 Answers
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## Answers ( )

The work done to drag the box is

9 J.Explanation:Work doneis the measure offorcerequired todisplacea certain object to acertain distance. So it can be measured as theproduct of forcewithdisplacementalong with theangle in which the displacement is made.As here the force acting on the box is said to be 75 N. And as it is moved horizontally in an angle of 36°. It is also said that the box is displaced by 150 m.

So, the work done will be

So α is the angle, F is the force, d is the displacement and W is the work done.

So, the work done to drag the box is

9 J.The work done on the box is 9000 JExplanation:Given:

Force, F = 75N

Angle, θ = 36°

Distance, x = 150m

Horizontal force = F cosθ

= F cos36°

= 75 X 0.8

= 60N

Work = Force X distance

Work = 60 X 150m

Work = 9000 J

Therefore, work done on the box is 9000 J