From d9930a3ff8808d831dcde3baa8879c98dcf853fa Mon Sep 17 00:00:00 2001 From: justanothercatgirl Date: Sun, 19 Jan 2025 20:34:17 +0300 Subject: commit 10 --- oldmech2025.tex | 25 ------------------------- 1 file changed, 25 deletions(-) delete mode 100644 oldmech2025.tex (limited to 'oldmech2025.tex') diff --git a/oldmech2025.tex b/oldmech2025.tex deleted file mode 100644 index 866a2a1..0000000 --- a/oldmech2025.tex +++ /dev/null @@ -1,25 +0,0 @@ -\documentclass[12pt]{article} -\usepackage{fontspec} -\usepackage{amsmath} -\usepackage{amssymb} -\usepackage{amsfonts} -\usepackage{wrapfig} -\usepackage{graphicx} -\usepackage{pifont} -\newcommand{\cmark}{\ding{51}}% -\newcommand{\xmark}{\ding{55}}% -\usepackage[margin=0.4in]{geometry} -\setmainfont{FreeSans} -\graphicspath{ {../images} } - -\begin{document} -2. Энергия частицы в релятивистском случае. Связь энергии, импульса -и массы. -\begin{itemize} - \setlength\itemsep{0cm} - \item $p=m\frac{d\vec r}{d \tau} = m\frac{d \{dx, dy, dz\}}{\sqrt{1 - \frac {v^2}{c^2}}dt} = \gamma m\vec v \hspace{1cm} - m\frac{d \vec p}{dt} = \vec F \implies \vec F = \gamma'm\vec v + \gamma m \frac {d\vec v}{dt} = \gamma m \vec a + \frac{\gamma^3mv \dot v}{c^2}\vec v\\ - \vec v \frac{d(\gamma m \vec v)}{dt} = \vec v \vec F,\quad E = \gamma mc^2,\quad E^2 = [v^2 = \frac{p^2c^2}{c^2m^2 + p^2}] = m^2c^4 + p^2c^2,\quad p = \vec v \frac E {c^2}$ -\end{itemize} -\end{document} - -- cgit v1.2.3-70-g09d2