What should be the angle between the direction of force and the direction of motion of a body so that the work done is zero?

We know the formula for work done: $W=F\cos\theta\times d$

Here $W\rightarrow$ Work done

$F\rightarrow$Force 

$d\rightarrow$ displacement

$\theta\rightarrow$angle between the direction of force and the direction of motion

If the angle between the direction of force and direction of motion is $90^{o}$, then $\cos\theta=\cos90^{o}=0$

Then work done $=F\times d\times 0$

$=0$

Thus, the work done by a force will be zero when the angle between the direction of force and direction of motion is $90^{o}$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

231 Views

Kickstart Your Career

Get certified by completing the course

Get Started