Law of gravitation gives the gravitational force between

The Law of Universal Gravitation, formulated by Sir Isaac Newton, gives the gravitational force between two objects with mass.

 

Newton’s Law of Universal Gravitation

It states:

Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.


Mathematical Formula:

F=Gm1m2r2F = G \frac{m_1 m_2}{r^2}F=Gr2m1?m2??

Where:

  • FFF = Gravitational force

  • GGG = Universal gravitational constant (6.674×10−11 Nm2/kg2)(6.674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2)(6.674×10−11Nm2/kg2)

  • m1m_1m1? and m2m_2m2? = Masses of the two objects

  • rrr = Distance between the centers of the two masses


So the law gives the gravitational force between:

Two objects having mass (e.g., Earth and Moon, Sun and planet, two people, etc.)

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