RelativisticTotalEnergy 2009-08-11 23:41:35 2009-09-06 02:29:13 Definition relativistic total energy energy-mass equivalence % 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 The relativistic total energy E of a particle 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 speeds $(v << c)$ with the famous equation \begin{equation} E_0 = mc^2 \end{equation}