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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.
- The Editors of Encyclopaedia Britannica
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.
Stated in modern language, Newton’s universal law of gravitation states that every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Newton’s Law of Universal Gravitation states that every particle attracts every other particle in the universe with force directly proportional to the product of the masses and inversely proportional to the square of the distance between them. The universal gravitation equation thus takes the form.
Sep 25, 2024 · In Newton’s equation F 12 is the magnitude of the gravitational force acting between masses M 1 and M 2 separated by distance r 12. The force equals the product of these masses and of G, a universal constant, divided by the square of the distance.
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.
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 m M r 2 F = G m M r 2. where F is the magnitude of the gravitational force and G is a proportionality factor called the gravitational constant.
