\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 (work-and-energy.pdf) /Creator (Cheatography) /Author (Ayesha Talib) /Subject (Work and Energy 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}{8E9171} \definecolor{LightBackground}{HTML}{F7F8F6} \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{Work and Energy Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Ayesha Talib} via \textcolor{DarkBackground}{\uline{cheatography.com/173447/cs/36749/}}} \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}Not Yet Published.\\ Updated 27th 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*}{2} \begin{tabularx}{8.4cm}{x{2.584 cm} x{2.508 cm} x{2.508 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{WORK}} \tn % Row 0 \SetRowColor{LightBackground} POSITIVE & NEGATIVE & ZERO \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} force acts in the direction of motion of the body & force acts opposite to the direction of motion of the body & force acts \seqsplit{perpendicular} to the direction of motion of the body \tn % Row Count 6 (+ 5) % Row 2 \SetRowColor{LightBackground} ex. work done by \seqsplit{gravitational} force on a freely falling object & ex. work done by \seqsplit{gravitational} force on a lifting object & ex. work done by sun on the planets moving around it \tn % Row Count 11 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}---} \SetRowColor{LightBackground} \mymulticolumn{3}{x{8.4cm}}{work is the product of force and displacement, SI unit: Joules. \newline 1 Joule is the amount of work done on an object when a force of 1N displaces it by 1m along the line of action of the force. \newline work: scalar; work done: vector. \newline for work to be done, a force should act on the object and it must be displaced. \newline 1kJ = 1000J} \tn \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{ENERGY}} \tn % Row 0 \SetRowColor{LightBackground} POTENTIAL ENERGY & KINETIC ENERGY \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} energy present in an object by virtue of its \seqsplit{position/configuration} & energy possessed by a moving body by virtue of its motion \tn % Row Count 5 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{an object having the capability to do work is said to possess energy. SI unit: J \newline 1J is the energy required to do 1J of work. \newline {\bf{gravitational P`E`}} of an object at a point above ground is the work done in raising it from the ground to that point against gravity. P`E` of an object at a height depends on the ground level. depends on the difference in vertical heights of the initial and final positions of the object and not on the path along which the object is moved.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{LAW OF CONSERVATION OF ENERGY}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{energy can only be converted from one form to another; it can neither be created nor destroyed. the total energy before and after transformation remains the same.% Row Count 4 (+ 4) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{P`E`+K`E` of an object = its total mechanical energy} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{POWER}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{rate of doing work/rate of transfer of energy. SI unit: Watt {[}James Watt{]} \newline % Row Count 2 (+ 2) 1 watt is the power of an agent, which does work at the rate of 1J/s; power is 1W when rate of consumption of energy is 1J/s. \newline % Row Count 5 (+ 3) 1W = 1J/s \newline % Row Count 6 (+ 1) 1kW = 1000W or 1000J/s% Row Count 7 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}