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:

Answer 1

Step 1: Given data

Force acting on the body (F) = $20N$

Displacement of the body (S) = $2m$

Step 2: Formula used

$W=F·S\cos \theta$, where W is the work done by the force, F is the force acting on the body, S is its displacement and $\theta$ 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, $\theta =0$.

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

$$\begin{gathered} W=20·2\cos (0°) \\ W=20·2·1 \\ W=40J \end{gathered}$$

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