Find the value of 'g(i)' at a height of 100 km (ii) at height 6400 km from the surface of the earth. (Radius of the earth = 6400 km, g on the surface of the earth `= 9.8 ms^(-2)`.

Explanation

(i) Using `g_(h) = g(1-(2h)/(R))` with h = 100 km
and `R = 6400 km " "g_(h) = 9.49 m//s^(2)`
(ii) using `g_(h) = (g)/((1+(h)/(R))^(2))` with `h = R g = 2.45 ms^(-2)`