A force of acts on an object. The displacement is, say , 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?
Step 1: Given data
Force acting on the body (F) =
Displacement of the body (S) =
Step 2: Formula used
, where W is the work done, F is the force acting on the body, S is its displacement and 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, .
Now, on substituting the given values in the formula, we get:
Thus, the work done in this case will be .