Question

If a student exerts a force a 25N on a table, the table is displaced by 3 meters, how much work was done by the student? -​

Answer 1

Answer:

Work done is 75 Joule

Explanation:

What is Force?

A force is an external influence provided by a body which is capable of changing the state of rest or motion of a particular body. A force has the ability to change the velocity of an object. It has both magnitude and direction, making it a vector quantity. Force, represented by F, is measured in the SI unit, Newton (N).

What is Displacement?

Displacement is defined as the change in position of an object. It is defined as the shortest path covered by an object. It also has both magnitude and direction, making it a vector quantity. Displacement is represented by d or s, with an SI unit, meter (m).

What is Work done?

Work is said to be done if a force exerted by an object makes a body move with a displacement in the direction of force exerted. The work done is equal to the product of magnitude of the force exerted and the displacement moved by the object in the direction of force. Work has only magnitude and no direction, i.e., it is a scalar quantity.

Work Done, W = Fd cosθ

where F = force exerted

           d = displacement

           θ = angle between force and displacement

The SI Unit of Work is Joule(J).

Given:

Force, F = 25 N

Displacement, d = 3 m

Work Done, W = Fd cosθ

Here, θ = 0 since F and d are in the same direction.

∴ W = 25 × 3 × cos 0

       = 25 × 3 × 1     (∵ cos 0 = 1)

       = 75 J

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