Newton's Law of Universal Gravitation

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

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

Newton's Law of Universal Gravitation formula

\(\large{ F_g = G \frac {m_1 m_2} {d^2} }\)         

Where:

\(\large{ F_g }\) = gravitational force

\(\large{ d }\) = distance between objects

\(\large{ m_1 }\) = mass of object 1

\(\large{ m_2 }\) = mass of object 2

\(\large{ G }\) = universal gravitational constant

Solve for:

\(\large{ m_1 = \frac {F_g   d^2} {G m_2} }\)

\(\large{ m_2 = \frac {F_g   d^2} {G m_1} }\)

\(\large{ d = \sqrt { \frac {G m_1 m_2} {F_g} } }\)

 

Tags: Equations for Gravity