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Question

A force of 20N acts on a body and displaces it 2m along the direction of the force. Then the work done by the force is:


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Solution

Step 1: Given data

Force acting on the body (F) = 20N

Displacement of the body (S) = 2m

Step 2: Formula used

W=F·Scosθ, where W is the work done by the force, F is the force acting on the body, S is its displacement and θ is the angle between the direction of force and the displacement vector.

Step 3: Calculate work done

Since the body is displaced in the direction of the applied force, θ=0.

Now, on substituting the given values in the formula, we get:

W=20·2cos(0°)W=20·2·1W=40J

Thus, the work done by the force will be 40J.


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