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Q.

A body moves 20 cm when 90 N of force is applied to it. If the work done in this process is 18 J, what angle should there be between the force and the displacement?

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a

60°

b

30°

c

90°

d

0°

answer is D.

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Detailed Solution

detailed_solution_thumbnail

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:
 W= 18 J
F = 90 N
d = 20 cm = 0.2 m

Work done is given by:
W=F D cosθ
18=90×0.2×cosθ
1 = cosθ
cos 0° = cos θ
θ=0°

Therefore, the angle between the force and displacement must be 0°

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