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phys: grav field intro
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## 6.2 - Newton's law of gravitation
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The universal law of gravitation states that the gravitational force, $F_G$ between any two objects is attractive along the line joining them and equal to:
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All masses exert gravitational force on each other. The universal law of gravitation states that the gravitational force, $F_G$ between any two objects is attractive along the line joining them and equal to:
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$$F_G=G\frac{mM}{r^2}$$
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where $G=6.67×10^{-11} \text{ N}\cdot\text{m}^2\cdot\text{kg}^{-2}$ is Newton's constant of universal gravitation, $r$ is the distance between the objects' **centre of mass**, and $m$ and $M$ are the masses of the objects acted on and acting, respectively.
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The net gravitational force acting on an object is equal to the resultant vector formed by components of each force acting on it.
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### Gravitational fields
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A **force field** is a model representing a region of space where a mass or charge experiences a **non-contact** force. Its units are newtons per kilogram (for mass) or newtons per coulomb (for charge). A gravitational field surrounds every mass and exerts a force equal to that given by Newton's law of gravitation, extending infinitely into space.
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## Resources
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- [IB Physics Data Booklet](/resources/g11/ib-physics-data-booklet.pdf)
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