# Newton's Law of Universal Gravity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

## Newton's Law of Universal Gravitation

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

### Newton's Law of Universal Gravitation formula

$$gravitational \; force \;=\; universal \; gravitational \; constant \; \frac { mass_1 \;\;x\;\; mass_2 } { distance^2 }$$

$$F_g = G \frac {m_1 m_2} {d^2}$$

Where:

$$F_g$$ = gravitational force

$$G$$ = universal gravitational constant

$$m_1$$ = mass of object 1

$$m_2$$ = mass of object 2

$$d$$ = distance between objects

Solve for:

$$m_1 = \frac {F_g d^2} {G m_2}$$

$$m_2 = \frac {F_g d^2} {G m_1}$$

$$d = \sqrt { \frac {G m_1 m_2} {F_g} }$$