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Question

Earth revolves around the sun. Calculate the work done by the gravitational force, assuming its path to be circular.

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Solution

Work done is equal to zero assuming earth revolves around the sun in a perfect circle.

As Work=ForceDisplacementcosθ

Where θ is the angle between force and displacement .

In this case θ=90degree

As centripetal force is involved where earth is pulled towards the sun and direction of motion at each point is tangential to the orbit and as tangent makes 90degree with radius θ=90degree

Cos90o=0

Thereby FScos90=FS0=0

HENCE NO WORK IS DONE .


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