when earth moves around the sun is it work done?why?

Dear Student! Anku

Work done is given as, W = Fx d x cosθ, where F is force, d is displacement and θ is the angle between direction of force and displacement.

In your case Force is acting in radial direction, i.e. along a radius. Direction of motion is always in tangential direction. By geometry you know that angle between a radius and tangent (meeting at same point on circumference) is 90°.

Now, in grade 10 you will get to know that cos 90° = 0.

Thus, work done = 0

Cheers!!

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