Two balls, each of radius R, equal mass and density are placed in contact, then the force of gravitation between them is proportional to
Mass is the amount of matter in an object, while density is mass per unit volume, showing compactness.
Class 11 Physics
Gravitation
CBSE EXAM 2024-25
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The gravitational force between two objects is influenced by their masses, the distance between them, and the density of the material involved. When the mass of an object is expressed in terms of its volume and density, the force becomes proportional to the fourth power of the radius, assuming the density remains constant.
This relationship indicates that as the radius of an object increases, the gravitational force grows significantly due to the radius being raised to the fourth power. This dependence on radius highlights the impact of size and density in determining the strength of gravitational interactions.
F = G (m x m)/((2 R)²) = G ((4/3 πR³p)²)/(4 R²)
F ∝ R⁴