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From a sphere of mass m and radius r, another sphere of radius r/2 is removed and placed at a distance of d. What is the gravitational force between the

two objects.



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Let density of the sphere be σ.

Mass of the sphere of radius r = 4/3 * π * r³ * σ

Mass of the second sphere : 4/3π r³/8 * σ

Mass of 1st sphere = π r³ σ (4/3-1/6) = 7/6*πr³ σ

F = 14/9 π² σ² G r⁶ / d²

2 5 2
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