\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{Elf (Elf Fatmawati)} \pdfinfo{ /Title (energy-thermal-energy.pdf) /Creator (Cheatography) /Author (Elf (Elf Fatmawati)) /Subject (Energy (Thermal 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}{19004A} \definecolor{LightBackground}{HTML}{F7F7F9} \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{Energy (Thermal Energy) Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Elf (Elf Fatmawati)} via \textcolor{DarkBackground}{\uline{cheatography.com/213487/cs/46445/}}} \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}Elf (Elf Fatmawati) \\ \uline{cheatography.com/elf-fatmawati} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 25th May, 2025.\\ Updated 25th May, 2025.\\ 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{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Energy (Temperature Changes)}} \tn % Row 0 \SetRowColor{LightBackground} Internal (Thermal) Energy -\textgreater{} Energy stored in the movement of particles & Amount of internal energy depends on temperature, materials, mass \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Temperature -\textgreater{} How hot or cold something is} \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{3.4839 cm} x{1.4931 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Efficiency Formula (Energy)}} \tn % Row 0 \SetRowColor{LightBackground} Formula: Efficient Powers / Total Amount of Electricity Produced x 100\% = Percentage & 4/40 x 100\% = 100 \tn % Row Count 3 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.79172 cm} x{3.18528 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Energy Formula}} \tn % Row 0 \SetRowColor{LightBackground} Formula: Q = mcAT & Q -\textgreater{} Amount of heat transfered \tn % Row Count 2 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Energy Formula}} \tn % Row 0 \SetRowColor{LightBackground} Formula: Q = mcAT & Q -\textgreater{} Amount of heat transfered \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} M = Mass & C = Specific Heat Capacity \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} A = The changes in temperature & T = Temperature \tn % Row Count 6 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{In a refrigerator, 2kg of water cools from 30 °C to 0 °C and then freezes to form ice at 0 °C. The specific heat capacity of water is 4200 J kg °C, and the specific latent heat of fusion of ice is 336000 J kg °C. What is the heat washed in this process? \newline Q1 = mcAT = 2 x 4 x 200 x -30 \newline Q2 = mAHf = 2 x -336000 \newline Q1 + Q2 = -924000} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Listric Energy}} \tn % Row 0 \SetRowColor{LightBackground} Appliances -\textgreater{} Machines & Power -\textgreater{} Different appliance transfer different amount per second \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} Wratts -\textgreater{} Method measurement of the rate of electricity & Power rattings -\textgreater{} Max amount of power a device produce under normal circumtances \tn % Row Count 8 (+ 4) % Row 2 \SetRowColor{LightBackground} Efficiency -\textgreater{} Ratio of useful energy from total energy & Sankey Diagram -\textgreater{} Diagram that shows efficiency \tn % Row Count 11 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Transfering Energy}} \tn % Row 0 \SetRowColor{LightBackground} Evaporation & Conduction -\textgreater{} Passing vibrations (heat) \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Radiation -\textgreater{} All objects emit infrared radiation (hotter, emit more, no need medium, thermal imagers) & Convection -\textgreater{} Cooler fluid sink, hotter fluids rise \tn % Row Count 8 (+ 6) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.38896 cm} x{2.58804 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Paying for Energy}} \tn % Row 0 \SetRowColor{LightBackground} Unit (Times, Energy, Power wrattings) & Electricity and gas are paid base on usage and measure in KwH \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{Formula -\textgreater{} KW x H x KwH (Hour)} \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Controlling Energy Transfer}} \tn % Row 0 \SetRowColor{LightBackground} Insulation -\textgreater{} Retain warmth inside the house and reduces fuel costs. & Air is only good conductor if it is trapped \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} To test insulation effectiveness, use containers with different insulating materials and measure temperature changes over time. & Light color -\textgreater{} Reflect energy, while Dark color -\textgreater{} Emit radiation \tn % Row Count 11 (+ 7) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}