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Question

The moon revolves around the earth because the earth exerts a radial force on the moon. Does the earth perform work on the moon ?

A
No
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B
Yes, sometimes
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C
Yes, always
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D
Cannot be decided
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Solution

The correct option is A No
The work done is zero.
Work done is defined as the scalar product of force and displacement i.e W = F.s Cosθ where θ is the angle between force and displacement vector
The radial force exerted on the moon by the earth is perpendicular in direction i.e θ is at 90 degree
W = F.s Cos 90 = 0 (since Cos 90 = 0)
Thus work done is zero

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