The Total solution for NCERT class 6-12
As you have learnt in the text, ageostationary satellite orbits the earth at a height of nearly 36,000 km fromthe surface of the earth. What is the potential due to earthтАЩs gravity at thesite of this satellite? (Take the potential energy at infinity to be zero).Mass of the earth = 6.0 ├Ч 1024┬аkg, radius = 6400km.
Mass of the Earth,┬аM┬а= 6.0├Ч 1024┬аkg
Radius of the Earth,┬аR┬а=6400 km = 6.4 ├Ч 106┬аm
Height of a geostationarysatellite from the surface of the Earth,
h┬а= 36000 km = 3.6 ├Ч 107┬аm
Gravitational potential energy due toEarthтАЩs gravity at height┬аh,