Talk:PlanetPhysics/Relativistic Total Energy
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[edit source]%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: relativistic total energy %%% Primary Category Code: 03.30.+p %%% Filename: RelativisticTotalEnergy.tex %%% Version: 4 %%% Owner: bloftin %%% Author(s): bci1, bloftin %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}
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% almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts}
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\begin{document}
The relativistic total energy E of a \htmladdnormallink{particle}{http://planetphysics.us/encyclopedia/Particle.html} is defined as
\begin{equation} E = \frac{mc^2}{\sqrt{1-v^2/c^2}} \end{equation}
One often finds this relationship in the limit of low \htmladdnormallink{speeds}{http://planetphysics.us/encyclopedia/Velocity.html} $(v << c)$ with the famous equation
\begin{equation} E_0 = mc^2 \end{equation}
\end{document}