Question

Density if a planet is twice as much as that of Earth and its radius is half that of the earth. If the acceleration due to gravity on Earth's surface is 10m/s^2 what will be the acceleration due to gravity on this planet?

Answer 1

$$\begin{gathered} DearStudent, \\ weknowthat, \\ g=\frac{4}{3}\mathrm{\pi \rho GR} \\ \frac{{\mathrm{R}}_{\mathrm{p}}}{{\mathrm{R}}_{\mathrm{E}}}=\left(\frac{{\mathrm{g}}_{\mathrm{p}}}{{\mathrm{g}}_{\mathrm{e}}}\right)\left(\frac{{\mathrm{\rho }}_{\mathrm{E}}}{{\mathrm{\rho }}_{\mathrm{p}}}\right) \\ =1\times \frac{1}{2} \\ \Rightarrow {\mathrm{R}}_{\mathrm{p}}=\frac{{\mathrm{R}}_{\mathrm{E}}}{2}=\frac{\mathrm{R}}{2} \\ \mathrm{Regards} \end{gathered}$$