If you are given the mass m andradius r of planet X, give the magnitude of thefr

Question

If you are given the mass m andradius r of planet X, give the magnitude of thefree-fall acceleration on the surface of this planet. (Use thesymbols m and r asnecessary.)
A similar question (#15) found in "Physics For Scientist andEngineers" 7th Edition, Serway & Jewett is answered butthe step from variables to equations is not clear since there istwo different variables used for "m" and G is also added to thefinal answer and is not a usable variable.
A similar question (#15) found in "Physics For Scientist andEngineers" 7th Edition, Serway & Jewett is answered butthe step from variables to equations is not clear since there istwo different variables used for "m" and G is also added to thefinal answer and is not a usable variable.

Explanation / Answer

Force on the mass M on the surface of the planet x is F = GmM /r 2

Accleration due to gravity on the surface of the planet xis g = F / M

               g = Gm / r 2

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