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
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
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