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Question

A force of 7N acts on an object. The displacement is, say 8m, in the direction of the force. Let us take it that the force acts on the object through the displacement. What is the work done in this case?


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Solution

Step 1: Given data

Force acting on the body (F) = 7N

Displacement of the body (S) = 8m

Step 2: Formula used

W=FScosθ, where W is the work done, 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=7·8·cos(0°)W=7·8·1W=56J

Thus, the work done in this case will be 56J.


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