A spherical planet far out in space has a $\mathrm{M}_{\mathrm{o}}$ mass and diametere $\mathrm{D}_{

Question

A spherical planet far out in space has a $\mathrm{M}_{\mathrm{o}}$ mass and diametere $\mathrm{D}_{\mathrm{o}}$. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is proportional to\

Professor PC Thomas Classes · Answer

$g=\frac{G M}{R^{2}} \quad M=M_{0}$ \ $ =\frac{\mathrm{GM}_{0}}{\left(\frac{\mathrm{D}_{0}}{2}ight)^{2}} \quad \mathrm{R}=\frac{\mathrm{D}_{0}}{2} \quad=\frac{4 \mathrm{GM}_{0}}{\mathrm{D}_{0}^{2}} $