Talk:PlanetPhysics/Relativistic Total Energy

Original TeX Content from PlanetPhysics Archive
%%% 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}

\setlength{\topmargin}{0.00in} \setlength{\headsep}{0.00in} \setlength{\headheight}{0.00in} \setlength{\evensidemargin}{0.00in} \setlength{\oddsidemargin}{0.00in} \setlength{\textwidth}{6.5in} \setlength{\textheight}{9.00in} \setlength{\voffset}{0.00in} \setlength{\hoffset}{0.00in} \setlength{\marginparwidth}{0.00in} \setlength{\marginparsep}{0.00in} \setlength{\parindent}{0.00in} \setlength{\parskip}{0.15in}

\usepackage{html}

% this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners.

% almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts}

% used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic}

% there are many more packages, add them here as you need them

% define commands here

\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}