summaryrefslogtreecommitdiffstats
path: root/oldmech2025.tex
diff options
context:
space:
mode:
authorjustanothercatgirl <sotov2070@gmail.com>2025-01-19 20:34:17 +0300
committerjustanothercatgirl <sotov2070@gmail.com>2025-01-19 20:34:17 +0300
commitd9930a3ff8808d831dcde3baa8879c98dcf853fa (patch)
treef351e157faf673fad412f6b50db48e351e4235dc /oldmech2025.tex
parent9742f5e55063eb4091824c1d0e298d8791f2fac6 (diff)
commit 10
Diffstat (limited to 'oldmech2025.tex')
-rw-r--r--oldmech2025.tex25
1 files changed, 0 insertions, 25 deletions
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}
-