A spherical planet far out in space has a

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A spherical planet far out in space has a mass ${M_0}$ and diameter ${D_0}$. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to

A

$G{M_0}/D_0^2$

B

$4mG{M_0}/D_0^2$

C

$4G{M_0}/D_0^2$

D

$Gm{M_0}/D_0^2$

A spherical planet far out in space has a mass ${M_0}$ and diameter ${D_0}$. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to

$g = \frac{{GM}}{{{R^2}}} = \frac{{G{M_0}}}{{{{({D_0}/2)}^2}}} = \frac{{4G{M_0}}}{{D_0^2}}$