Calculate the height of a geo-stationary satellite of earth.
Gravitational force of earth=6.667 x 10^-11 nm^2/kgm^2
Mass of earth=6x10^24 kgm
Radius of earth=6400 km
The Attempt at a Solution
I plugged everything into the equation and got 53,583.6 for r. Then since I need only height of the satellite to earth, I subtracted 6400 km from 53,583.6 and I got 47,183 for h. However, my professor said the answer for r should be around 36,000 km. Here is what I did.
From multiplying, I got 4x10^14/r=7464960000
From this, I got r=53,583.6
Are my calculations incorrect?