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

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

Where:

 Units English Metric
\(\large{ F_g }\) = gravitational force  \(\large{ \frac{ft}{sec^2} }\)  \(\large{ \frac{m}{s^2} }\)
\(\large{ r }\) = radius distance between objects \(\large{ ft }\) \(\large{ m }\)
\(\large{ m_1 }\) = mass of object 1 \(\large{ lbm }\) \(\large{ kg }\)
\(\large{ m_2 }\) = mass of object 2 \(\large{ lbm }\) \(\large{ kg }\)
\(\large{ G }\) = universal gravitational constant \(\large{\frac{lbf-ft^2}{lbm^2}}\)  \(\large{\frac{N - m^2}{kg^2}}\) 

Solve for:

\(\large{ m_1 = \frac{ F_g \; r^2 }{ G \; m_2 }  }\)   
\(\large{ m_2 = \frac{ F_g \; r^2 }{ G \; m_1 }  }\)   
\(\large{ r = \sqrt { \frac{G\; m_1 \;m_2}{F_g} } }\)   

 

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Tags: Equations for Gravity