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      • In symbols, the magnitude of the attractive force F is equal to G (the gravitational constant, a number the size of which depends on the system of units used and which is a universal constant) multiplied by the product of the masses (m1 and m2) and divided by the square of the distance R: F = G (m1m2)/ R2.
      www.britannica.com/science/Newtons-law-of-gravitation
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  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. 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. Sep 25, 2024 · Gravity - Newton's Law, Universal Force, Mass Attraction: Newton discovered the relationship between the motion of the Moon and the motion of a body falling freely on Earth. By his dynamical and gravitational theories, he explained Kepler’s laws and established the modern quantitative science of gravitation.

  6. Newton proposed that gravity is a force of attraction between ALL objects that have mass. And the strength of the force is proportional to the product of the masses of the two objects and inversely proportional to the distance of separation between the object's centers.

  7. Mar 12, 2024 · 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 = GmM r2, where F is the magnitude of the gravitational force and G is a proportionality factor called the gravitational constant.

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