Question

A 450 kg satellite was launched by a popular TV station to orbit Earth.

How far should it be from the Earth’s surface to experience 4.25 x 103 N

of gravitational force?

Answer 1

$$F=G\frac{Mm}{(R+h)^2}$$

$$h=\sqrt{\frac{GMm}{F}}-R\\ =\sqrt{\frac{6.67*10^{-11}*5.97*10^{24}*450}{4.25*10^3}}-6378*10^3\\ =1.15*10^5\:\rm m$$