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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. 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.

  3. Newton’s law of gravitation takes Galileo’s observation that all masses fall with the same acceleration a step further, explaining the observation in terms of a force that causes objects to fall—in fact, in terms of a universally existing force of attraction between masses.

  4. 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.

  5. Using Newton's Gravitation Equation to Solve Problems. Knowing the value of G allows us to calculate the force of gravitational attraction between any two objects of known mass and known separation distance. As a first example, consider the following problem.

  6. Jan 6, 2022 · Newton's gravity law is a simple math formula that explains almost everything we need to know about gravity in almost every situation we're ever likely to come across. It says that the force of gravity, F, between two masses, M and m, a distance r apart, is:

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  8. 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.