Is it true that the angle between force and displacement for maximum work should be 90°.

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Is it true that the angle between force and displacement for maximum work should be $9 0^{°} .$

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True

False

answer is B.

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Detailed Solution

The above statement is false.
We know that “ work done is defined as the multiplication of magnitude of displacement

d

and the component of the force that is in the direction of displacement.”
Therefore, work done

\Rightarrow W = Fs cos θ

Where

F

and

s

denotes the force and displacement respectively
If the angle between the force

F

and the direction of displacement is

9 {0 °}^{}

\Rightarrow W = Fs cos 9 {0 °}^{}

\Rightarrow W = 0

(∵ \cos 0^{0} = 0)

But for maximum work

θ = 0^{0}

\Rightarrow W = F s (∵ \cos 0^{0} = 1)

The correct statement would be that the angle between force and displacement for maximum work should be

0^{0} .

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