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Question

A force of 15 N displaces a box on a horizontal surface through a distance of 10 m. Calculate the angle which the force makes with the direction of motion of the body, if work done is 75 J.

A
30
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B
60
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C
45
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D
37
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Solution

The correct option is B 60
For calculating the workdone by the force,

Component of fore along sisplacement is Fcosθ


Work done by the force =(Fcosθ)s
Fcosθs=75 J
F×cosθ×10=75 J
150cosθ=75 as (F=15)
cosθ=12
θ=60

Hence option B is the correct answer

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