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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Helga 3 years 2021-08-13T12:52:34+00:00 2 Answers 13 views 0

Answers ( )

    0
    2021-08-13T12:53:46+00:00

    The work done to drag the box is 9 J.

    Explanation:

    Work done is the measure of force required to displace a certain object to a certain distance. So it can be measured as the product of force with displacement along with the angle 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

    W=F*d * cos \alpha

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

    W = 75 * 150 * cos 36 =9 J

    So, the work done to drag the box is 9 J.

    0
    2021-08-13T12:54:02+00:00

    The work done on the box is 9000 J

    Explanation:

    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

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