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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 $90^{o}$.
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