Question

What is the acceleration due to the gravity at a distance of 2 earth radii above earth’s surfaceanswer is: g/9=1.11m/s^2

Answer 1

Given data

*The height above the earth's surface is

`h=2R_e`

The formula for the Earth's gravity variation with altitude is given as

`g_h=g((R_e)/(R_e+h))^2`

*Here g is the standard gravitational acceleration

*Here R_e is the earth's mean radius

Substitute the known values in the above expression as

`\begin{gathered} g_h=g((R_e)/(R_e+2R_e))^2 \\ =(g)/(9) \\ =(9.81)/(9) \\ =1.09m/s^2 \end{gathered}`