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  1. Newton's law of universal gravitation says 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.

  2. 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
  3. Jun 21, 2024 · By his dynamical and gravitational theories, he explained Kepler’s laws and established the modern quantitative science of gravitation. Newton assumed the existence of an attractive force between all massive bodies, one that does not require bodily contact and that acts at a distance.

  4. Learn how Newton defined the force of gravity and its mathematical formula, and how it applies to objects with mass. Explore the concepts of gravitational field, potential energy, and center of gravity.

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  6. Apr 10, 2024 · 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.

  7. Gravity is a force of mutual attraction between two objects that both have mass or energy. Newton's universal law of gravitation can be used to approximate the strength of gravitation forces between two objects as a function of the objects' masses and the distance between them.

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