Physics - Gravitation Question with Solution | TestHub

The acceleration due to gravity at a distance $r$ from center of the earth is: ${\mathrm{g}}^{\prime }=\frac{\mathrm{GM}}{{\mathrm{r}}^2}$ For, $r=\left(R+\frac{R}{2}\right)$ $\begin{array}{rl}& g^{\prime }=\left(\frac{\mathrm{GM}}{{\mathrm{R}}^2}\right)\left(\frac{4}{9}\right)=\frac{4}{9}{\mathrm{g}}_0\\ & \therefore {\mathrm{W}}^{\prime }=\mathrm{mg}=\frac{4}{9}\left({\mathrm{mg}}_0\right)=\frac{4}{9}\mathrm{W}\end{array}$