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F = G (m1m2)/ R2
- 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.
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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. Isaac Newton put forward the law in 1687.
- 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.
- State the Universal Law of Gravitation. Law of Gravitation or Law of Universal Gravitation by Newton states that “Every object in this universe is attracting every other object towards it with a force called the gravitational force of attraction.
- Direction of the gravitational force. This force acts along the line joining the two objects. The object with mass m1 will apply this force on m2 and the direction of the line of this force will be from m2 towards m1.
- Derivation of Gravitational Force formula | derivation of Universal Law of gravitation formula. Now we will derive the formula of the Gravitational force from the universal law of Gravitation stated by Newton.
- Universal Gravitational Constant or Gravitational constant – value, unit. In the equation of gravitational force, G is a constant, called Universal Gravitational Constant or Gravitational constant.
What is Newton’s universal law of gravitation? 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.
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.
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.
What Newton proposed with his law of universal gravitation was a revolutionary idea. He believed that the force responsible of making objects fall, like an apple falling off a tree, was the same force responsible for keeping the planets in orbit around the sun.
