Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then :

Question

Dr. Abubacker · Accepted Answer

[Solution from source] g = GM/R² = (4/3)πGρR, so at equal density g ∝ R. A planet with 3 times the radius has g' = 3g. g/9 would follow only if the mass stayed the same. Answer (1).

Q. Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then :

Explanation

Reviewed by Dr. Abubacker

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