Question

what is the work done when force of gravity on a satellite moving around the earth

Answer 1

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The satellite moves around the earth in a circular path.
The gravitational force of the Earth is the centripetal force.

Then at every point of the circular orbit, centripetal force act on the satellite at right angles to the direction of motion of the satellite, θ = 90º.

We Know, W = F s cos θ
           = F s cos 90º
           = F s (0)
           = 0 ...✔

_________
Thanks...✊

Answer 2

❤❤❤☆$\red {HELLO\:DEAR}$☆❤❤❤

❤❤❤Work is done whenever the given two conditions are satisfied:

❤❤❤

❤❤❤ (i) A force acts on the body.❤❤❤

❤❤❤(ii) There is a displacement of the body by the application of force in or opposite to the direction of force.❤❤❤

❤❤❤If the direction of force is perpendicular to displacement, then the work done is zero.❤❤❤

❤❤❤When a satellite moves around the Earth, then the direction of force of gravity on the satellite is perpendicular to its displacement.❤❤❤

❤❤❤Hence, the work done on the satellite by the Earth is zero.❤❤❤

❤❤❤☆$\green {VISHU\:PANDAT}$☆❤❤❤

❤❤❤ ☆$\blue {FOLLOW\:ME}$☆❤❤❤