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diff --git a/fiz/domace_naloge/2/dokument.tex b/fiz/domace_naloge/2/dokument.tex new file mode 100644 index 0000000..41f5f6a --- /dev/null +++ b/fiz/domace_naloge/2/dokument.tex @@ -0,0 +1,161 @@ +% !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} |