Question

the ratio g(earth)/ g(moon) is equal to .......​

Answer 1

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The ratio of g(earth)/g(moon) is equal to 6. Description: 2. The value of acceleration due to gravity increases as we move from equator to pole.

Answer 2

Answer: 6

Explanation:

$g(acceleration\ due\ to\ gravity)=GM/r^{2}\\\\For\ Earth, g=GM_{e}/R_{e}^{2}\\For\ Moon, g=GM_{m}/R_{m}^{2}\\\\g_{e}/g_{m}=M_{e}\times R_{m}^{2}/M_{m}\times R_{e}^{2}\\\\Mass=density\times volume=\rho \times (4/3\times \Pi R^{3})\\\\g_{e}/g_{m}=\rho _{e}\times R_{e}/\rho _{m}\times R_{m}$

We know that,

The ratio of density of earth and that of moon is 5/3 and the ratio of radius of earth and that of moon is 18/5.

$g_{e}/g_{m}=(5/3)\times (18/5)=6$