\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{Ayesha Talib} \pdfinfo{ /Title (physics-ix.pdf) /Creator (Cheatography) /Author (Ayesha Talib) /Subject (Physics IX Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{ABC4FF} \definecolor{LightBackground}{HTML}{EAF0FF} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Physics IX Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Ayesha Talib} via \textcolor{DarkBackground}{\uline{cheatography.com/173447/cs/36442/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}Ayesha Talib \\ \uline{cheatography.com/ayesha-talib} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 29th March, 2023.\\ Updated 11th January, 2023.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{x{3.33459 cm} p{1.64241 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{MOTION}} \tn % Row 0 \SetRowColor{LightBackground} displacement & m \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} distance & m \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} speed & m/s \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} velocity & m/s \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} aceleration & m/s\textasciicircum{}2\textasciicircum{} \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{speed (v) = s/t \newline average speed = total s/total t \newline velocity = d/t \newline average velocity = total d/total t \newline acceleration = v-u/t \newline v = 2πr/t \newline v = u+at \newline s = ut+1/2at\textasciicircum{}2\textasciicircum{} \newline v\textasciicircum{}2\textasciicircum{} = u\textasciicircum{}2\textasciicircum{}+2as} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Distance-Time Graphs}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/ayesha-talib_1673276160_Capture.PNG}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Distance-Time Graphs}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/ayesha-talib_1673276193_1.PNG}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Velocity-Time Graphs}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/ayesha-talib_1673276231_2.PNG}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{FORCE AND LAWS OF MOTION}} \tn % Row 0 \SetRowColor{LightBackground} inertia & kg \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} force & kgm/s\textasciicircum{}2\textasciicircum{} or N \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} momentum & kgm/s \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} mass & kg \tn % Row Count 4 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{F = ma \newline p = mv \newline change in momentum = mv-mu \newline m`1`v`1`+m`2`v`2`=(m`1`m`2`)v} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{3.43413 cm} x{1.54287 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{GRAVITATION}} \tn % Row 0 \SetRowColor{LightBackground} weight & N \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} mass & kg \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} pressure & Pa or N/m\textasciicircum{}2\textasciicircum{} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} acceleration due to gravity & m/s\textasciicircum{}2\textasciicircum{} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} density & g/cm\textasciicircum{}3\textasciicircum{} \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{F = GMm/d\textasciicircum{}2\textasciicircum{} \newline g = GM/R\textasciicircum{}2\textasciicircum{} \newline W = mg \newline W`m` = 1/6 W`e` \newline (thrust) F = mg \newline Weight-upthrust = m \newline W = m+upthrust \newline h = 1/2gt\textasciicircum{}2\textasciicircum{} \newline v\textasciicircum{}2\textasciicircum{} = 2gh \newline v = gt} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{4.28022 cm} p{0.69678 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{WORK AND ENERGY}} \tn % Row 0 \SetRowColor{LightBackground} work & J \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} energy & J \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} power & W \tn % Row Count 3 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{work = Fs \newline E`p` = mgh \newline E`k` = 1/2mv\textasciicircum{}2\textasciicircum{} \newline power = W/t /// power = E/t \newline average power = total E/total t} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{3.23505 cm} p{1.74195 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{SOUND}} \tn % Row 0 \SetRowColor{LightBackground} wavelength & m \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} frequency & Hz \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} time period & s \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} loudness & dB \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} intensity & W/m\textasciicircum{}2\textasciicircum{} \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Nu = 1/T \newline v = λ/T \newline v = Nuλ} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}