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authorsijanec <sijanecantonluka@gmail.com>2020-10-08 19:42:43 +0200
committersijanec <sijanecantonluka@gmail.com>2020-10-08 19:42:43 +0200
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parentdeveta domača naloga za matematiko (diff)
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+% !TeX encoding = UTF-8
+% !TeX spellcheck = sl_SI
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{etoolbox}
+\usepackage[hidelinks]{hyperref}
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{graphicx}
+\usepackage{hologo}
+\usepackage{amssymb}
+\usepackage{pgfplots}
+\usepackage[inline]{enumitem}
+\usepackage{amsmath}
+\usepackage{siunitx}
+\usepackage{multicol}
+\usepackage{tabularcalc}
+\usepackage{amsmath}
+\usepackage{float}
+\usepackage{tasks}
+\usepackage{filecontents}
+\usepackage{textcomp}
+\usepackage{tkz-euclide}
+\usepackage{listings}
+% \usepackage{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\usepackage{xcolor}
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol
+\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
+\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development
+\newcommand{\razhroscevanje}{1}
+\definecolor{codegreen}{rgb}{0,0.6,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
+\definecolor{codepurple}{rgb}{0.58,0,0.82}
+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+
+\lstdefinestyle{mystyle}{
+ backgroundcolor=\color{backcolour},
+ commentstyle=\color{codegreen},
+ keywordstyle=\color{magenta},
+ numberstyle=\tiny\color{codegray},
+ stringstyle=\color{codepurple},
+ basicstyle=\ttfamily\footnotesize,
+ breakatwhitespace=false,
+ breaklines=true,
+ captionpos=b,
+ keepspaces=true,
+ numbers=left,
+ numbersep=5pt,
+ showspaces=false,
+ showstringspaces=false,
+ showtabs=false,
+ tabsize=2
+}
+
+\lstset{style=mystyle}
+\def\@maketitle{%
+ \newpage
+ \null
+ \vskip 2em%
+ \begin{center}%
+ \let \footnote \thanks
+ {\LARGE \@title \par}%
+ \vskip 1.5em%
+ {\large
+ \lineskip .5em%
+ \begin{tabular}[t]{c}% <------
+ \@author% <------ Authors
+ \end{tabular}\par}% <------
+ \vskip 1em%
+ {\large \@date}%
+ \end{center}%
+ \par
+ \vskip 1.5em}
+%opening
+\newcommand{\snovdn}{Zgledi ohranitve gibalne količine v eni dimenziji }
+\newcommand{\predmdn}{fiz}
+\newcommand{\stevilkadn}{2}
+\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
+\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+ \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+ \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+ \or t\or u\or v\or z\or \v{z}
+ \else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
+\newcommand*\textfrac[2]{
+ \frac{\text{#1}}{\text{#2}}
+}
+\renewcommand\abstractname{Povzetek}
+\date{8. oktober 2020}
+\renewcommand\contentsname{Kazalo vsebine}
+\renewcommand\figurename{Slika}
+\renewcommand\abstractname{Povzetek}
+\newcommand{\iic}{I\textsuperscript{2}C }
+% \patchcmd{\thebibliography}{\section*{\refname}}{}{}{}
+\title{%
+ \snovdn --- \stevilkadn. domača naloga \\
+ \large Fizika, Gimnazija Bežigrad}
+\author{\begin{tabular}{rl}
+ \textbf{Profesor:} & prof. Peter Gabrovec \\
+ \textbf{Avtor:} & Anton Luka Šijanec, 2. a
+% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3
+\end{tabular}}
+
+
+% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+
+\begin{abstract}
+
+ Ta dokument obsega naloge, naročene dijakom 7. oktobra 2020, in njihove
+ rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so
+ iz učnega lista z nalogami profesorja Gabrovca. Kjer je bilo potrebno izbrati neke poljubne primere, sem jih vedno izbral naključno.
+\end{abstract}
+\tableofcontents
+
+\section{6. domača naloga --- zahtevnost C}
+**Avto z maso \SI{1200}{\kilo\gram} trči s hitrostjo \SI{50}{\kilo\meter\per\hour} v nasproti vozeči tovornjak z maso \SI{4000}{\kilo\gram}. Hitrost tovornjaka je \SI{40}{\kilo\meter\per\hour}. Trk traja \SI{0,2}{\second}. Kolikšem sunek sile prejme pri trku voznik osebnega vozila z maso \SI{70}{\kilo\gram} in kolikšen sunek sile voznik tovornjaka z maso \SI{80}{\kilo\gram}?
+$$G_1+G_2=G'_1+G'_2 \rightarrow
+\SI{1270}{\kilo\gram}\cdot(\kmh{-50})+\SI{4080}{\kilo\gram}\cdot\kmh{40}=
+\SI{5360}{\kilo\gram}\cdot\kmh{18,6} \rightarrow v=\kmh{18,6}$$
+$$a_a=\frac{\kmh{-50}-\kmh{18,6}}{\SI{0,2}{\second}}=
+\SI{343,0}{\kilo\meter\per\second\squared} =
+\SI{95,28}{\meter\per\second\squared} \rightarrow
+F_a = \SI{70}{\kilo\gram}\cdot\SI{95,28}{\meter\per\second\squared} =
+\SI{6670}{\newton} \rightarrow {\int_{t_1}^{t_2}F \,dt}_a = J_a =
+\SI{1334}{\newton\second}$$
+$$a_t=\frac{\kmh{40}-\kmh{18,6}}{\SI{0,2}{\second}}=
+\SI{107}{\kilo\meter\per\second\squared} =
+\SI{29,72}{\meter\per\second\squared} \rightarrow
+F_t = \SI{80}{\kilo\gram}\cdot\SI{29,72}{\meter\per\second\squared} =
+\SI{2378}{\newton} \rightarrow {\int_{t_1}^{t_2}F \,dt}_t = J_t =
+\SI{475,6}{\newton\second}$$
+\section{Zaključek}
+Hvala H. T., ker mi je namignil, da je masa vozila enaka vsoti mase avtomobila in mase voznika.
+
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}
+izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo mojem šolskem Git repozitoriju na
+\url{https://github.com/sijanec/sola-gimb-2} v mapi
+\href{https://github.com/sijanec/sola-gimb-2/tree/master/\predmdn/domace_naloge/\stevilkadn/}{/\predmdn/domace\_naloge/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/domace_naloge/\stevilkadn/dokument.pdf} in/ali \url{https://github.com/sijanec/sola-gimb-2/raw/master/\predmdn/domace_naloge/\stevilkadn/dokument.pdf}.
+
+\if\razhroscevanje1
+\section{Razhroščevalne informacije}
+Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta.
+
+Grafi imajo natančnost \functionSamples\space točk na graf.
+
+Konec generiranja dokumenta: \input|"date -Ins"
+\fi
+% \item $$$$
+\end{document}