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- In Newton’s law of universal gravitation, the attractive force between two objects (F) is equal to G times the product of their masses (m1m2) divided by the square of the distance between them (r2); that is, F = Gm1m2 / r2.
www.britannica.com/science/gravitational-constantGravitational constant | Definition, Value, Units, & Facts ...
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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.
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.
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- Gravitation
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This article is about Kepler's laws of planetary motion which describe the motions of planets in the solar system that were derived by German astronomer Johannes Kepler with later contributions from Sir Isaac Newton for his law of gravitation. It also mentions how these laws apply not only to gravitational but also other inverse-square-law forces.
The article is about the laws of gravitation.
Kepler’s three laws describe the motions of planets in the solar system, including elliptical orbits and angular momentum.
A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time.
The squares of sidereal periods are directly proportional to cubes of mean distances from Sun.
Laws apply not only to gravitational but also to all other inverse-square-law forces and electromagnetic forces within atom if allowance made for relativistic and quantum effects.
- The Editors of Encyclopaedia Britannica
Newton’s Law of Universal Gravitation. where W is the weight of an object with mass m due to the earth’s gravitational force, G is the universal gravitational constant = 6.67x10-11 m2/kg2, ME is the mass of the earth, r is the distance between the object and the center of mass of the earth.
Substituting mg for \(F\) in Newton’s universal law of gravitation gives \[mg = G\dfrac{mM}{r^2}, \] where \(m\) is the mass of the object, \(M\) is the mass of Earth, and \(r\) is the distance to the center of Earth (the distance between the centers of mass of the object and Earth).
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.
For two bodies having masses m m and M M with a distance r r between their centers of mass, the equation for Newton’s universal law of gravitation is F = G mM r 2 , F = G mM r 2 , 6.40
