
\(Mg' = Mg \frac{R^2}{(R+h)^2}\)
\(Mg' = Mg \frac{R^2}{(R+2R)^2} = \frac{Mg}{9}\)
\(Mg' = Mg \frac{R^2}{(R+\frac{3}{2}R)^2} = \frac{Mg}{25}\)
\(Mg \left( \frac{4}{25} - \frac{1}{9} \right) = 49 \, \text{N}\)
The height from Earth's surface at which acceleration due to gravity becomes \(\frac{g}{4}\) is \(\_\_\)? (Where \(g\) is the acceleration due to gravity on the surface of the Earth and \(R\) is the radius of the Earth.)