Two spheres of same radius r are made of the same material of density d and separated by distance of (2r) m find the force of attraction between them.
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Answers
Answer: G × 4π²r⁴d²/9
Explanation:
Mass of both spheres will be the same as they have the same radius, which means they also have the same volume, and they also have the same density.
Volume of both spheres = v = 4/3πr³
Density of both spheres = d
Mass of both spheres = d × v = 4/3πr³d = m
Distance between the spheres = 2r
Gravitational force between the spheres = G × m × m/ (2r)²
= G × (4/3πr³d)² / 4r²
= G × 16/9π²r⁶d² / 4r²
= G × 4π²r⁴d²/9
Answer: G × 4π²r⁴d²/9
Explanation:
Mass of both spheres will be the same as they have the same radius, which means they also have the same volume, and they also have the same density.
Volume of both spheres = v = 4/3πr³
Density of both spheres = d
Mass of both spheres = d × v = 4/3πr³d = m
Distance between the spheres = 2r
Gravitational force between the spheres = G × m × m/ (2r)²
= G × (4/3πr³d)² / 4r²
= G × 16/9π²r⁶d² / 4r²
= G × 4π²r⁴d²/9
Hope, it'll help you....
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Rohit Dwivedi