Question

what is work done by the earth in moving around the sun

Answer 1

Zero, because displacement is at right angles to the direction of applied force.

I hope my answer is right and it will help you

Answer 2

Work done will be zero because of 2 reasons -

force & displacement will B perpendicular & so Work done has to B zero.
as the Earth moves in a circular path the displacement will B zero & as Work done=Force * displacement

N*0=0 so work done will B zero.