## Gravitation

# Newton's Law of Gravitation

- The gravitational force of attraction between two particles is directly proportional to the product of their masses and inversely proportional to the square of the distance \tt F=\frac{G\ m_{1}m_{2}}{r_{2}}
- The value of "G" is constant for any two bodies in any medium.
- Modification of space by mass particle is called gravitational field.
- Law of gravitation is a consequence of action at a distance concept.
- The relation between g and G which is used to calculate variation of 'g' is g = GM/R
^{2} - The vector form of Newton's law of Gravitation \tt F=\frac{G\ m_{1}m_{2}}{r^{3}}\ \overrightarrow{r}
- Newtons law of gravitation is used to calculate the value of 'g'.
- Weight of a body is defined as the gravitational force with which a body is attracted towards the centre of earth.
- Universal gravitational constant may be defined as the force of attraction between two bodies of unit mass each are placed unit distance apart.
- The gravitational force between two masses is independent of intervening medium.
- Gravitational force obeys Newtons third law of motion.
- Gravitational force is conservative force.
- Gravitational forces follow principle of superposition.
- Gravitational force between bodies is independent of the presence of other bodies.
- The law of Gravitation strictly holds for point masses.

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Gravitational force, \tt F=\frac{Gm_{1}m_{2}}{r^{2}}