In which of the following case the work done by a force will be maximum: when the angle between the direction of force and direction of motion is $0^{o}$ or $90^{o}$?

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

Here, $W\rightarrow$ work done

$d\rightarrow$ displacement

$\theta\rightarrow$angle between the directions of acted force and displacement.

When the angle between the  direction of force and direction of motion is $0^{o}$, then $\cos\theta=\cos0^{o}=1$

So the work done $=F\times d\times 1=Fd$

And when 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 maximum when the angle between the direction of force and direction of motion is $0^{o}$.

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Updated on: 10-Oct-2022

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