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  1. Newton’s law of gravitation, statement that any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them. Isaac Newton put forward the law in 1687.

    • The Editors of Encyclopaedia Britannica
  2. Feb 3, 2023 · Universal Laws of Gravitation. General Formula for Gravitational Force. Suppose M1 and M2 be the masses of the two bodies, and R be the distance of separation between their centers. The following equation gives the gravitational force between the two objects.

  3. Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

  4. For two bodies having masses \ (m\) and \ (M\) with a distance \ (r\) between their centers of mass, the equation for Newton’s universal law of gravitation is \ [ F = G\dfrac {mM} {r^2},\] where \ (F\) is the magnitude of the gravitational force and \ (G\) is a proportionality factor called the gravitational constant.

  5. Jul 16, 2024 · The Law of Universal Gravitation, formulated by Sir Isaac Newton, states that every object in the universe attracts every other object 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.

  6. Dec 5, 2023 · Gravity is a universal, weak, attractive force that all masses exert on each other. According to Newton's Law of Gravitation, the magnitude of this force depends on the masses of the two bodies and the inverse square of the distance between them.

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  8. Aug 11, 2021 · Newton’s Law of Gravitation. Newton’s law of gravitation can be expressed as \[\vec{F}_{12} = G \frac{m_{1} m_{2}}{r^{2}} \hat{r}_{12} \label{13.1}\] where \(\vec{F}_{12}\) is the force on object 1 exerted by object 2 and \(\hat{r}_{12}\) is a unit vector that points from object 1 toward object 2.

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