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Q.

If force of 90N is applied to a body, it is displaced 20cm. What should be the angle between force and displacement if work done in this process is18J?

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a

30°

b

60°

c

90°

d

0°

answer is D.

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Detailed Solution

We know that work is the dot product of Force and Displacement.

W=F·d=Fdcosθ

Here W is the work done, F is the force, d is the displacement, and θ is the angle between F and d.

Given thatW=18;  F=90Nm,  then d = 0.2cm;

Work done is given by

W=F D cosθ

18=90×0.2×cosθ

1 = cosθ

cos 0° = cos θ

θ=0°

As a result, the force-displacement angle is: 0°


 

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