Question

When force and displacement are in perpendicular directions, the work is _______ .

Answer 1

Step 1: Given data:

The angle between the direction of force applied and the displacement, $\theta ={90}^0$.

Step 2: Finding the work done:

We know work done is given as, $W=F\times s\times \cos \theta$

Where F is force, s is displacement and $\theta$ is the angle between the direction of force applied and the displacement.

When force and displacement are perpendicular, it means $\theta ={90}^0$.

$$\begin{gathered} W=F\times s\times \cos \theta \\ W=F\times s\times \cos 90 \\ W=0 \end{gathered}$$.

Hence, when force and displacement are in perpendicular directions, the work is zero.