# Newton's Law of Universal Gravity

Written by Jerry Ratzlaff. Posted in Properties

All objects in the universe exert a gravitational force of attraction on each other.

• Abbreviated as g (gravity)

## formula

$$F = G \frac {m_1 m_2} {r^2}$$

Where:

$$F$$ = gravitational force

$$G$$ = universal gravitational constant

$$m_1$$ = mass

$$m_2$$ = mass

$$r$$ = distance between objects

Solve for:

$$m_1 = \frac {F r^2} {G m_2}$$

$$m_2 = \frac {F r^2} {G m_1}$$

$$r = \sqrt { \frac {G m_1 m_2} {F} }$$