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Question

A body moves a distance of 5 m along a straight line under the action of a force of 15 N. If work done by this force is 45 J, the angle which the force makes with the direction of motion with the horizontal is

A
37
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B
30
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C
60
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D
53
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Solution

The correct option is D 53
Given, distance(displacement) travelled by body along the straight line =5 m
Force applied =15 N
Work done by force (W)=45 J

If both force and displacement are along the same direction.
Workdone (W)=F.s=15×5=75 J
But the given workdone is equal to 45 J
Therefore, the force is acting on a body by making an angle with direction of motion.
Let the angle be θ

Then,
Workdone (W)=Fscosθ
cosθ=WFs=4515×5=4575=35
θ=cos1(35)=53

Hence option D is the correct answer

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