\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{TheGoldenClover} \pdfinfo{ /Title (tahsili-physics-states-of-matter.pdf) /Creator (Cheatography) /Author (TheGoldenClover) /Subject (Tahsili Physics (States Of Matter) 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}{DBD640} \definecolor{LightBackground}{HTML}{FAF9E7} \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{Tahsili Physics (States Of Matter) Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{TheGoldenClover} via \textcolor{DarkBackground}{\uline{cheatography.com/201551/cs/42768/}}} \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}TheGoldenClover \\ \uline{cheatography.com/thegoldenclover} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 18th March, 2024.\\ Updated 18th March, 2024.\\ 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{2.14011 cm} x{2.83689 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Thermal Energy}} \tn % Row 0 \SetRowColor{LightBackground} Thermal Energy & total energy of molecules in a substance \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{{\emph{thermal energy is proportional to the no. of molecules}}} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Total Energy & the sum of the potential and kinetic energies \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} Temperature & the average kinetic energy of molecules in matter \tn % Row Count 10 (+ 3) % Row 4 \SetRowColor{LightBackground} Thermal equilibrium & a state in which two substances have the same temperature \tn % Row Count 13 (+ 3) % Row 5 \SetRowColor{white} Transmission of Thermal Energy & conduction - convection - radiation \tn % Row Count 15 (+ 2) % Row 6 \SetRowColor{LightBackground} Calorimeter & an object used to measure the heat of chemical and physcial reactions \tn % Row Count 19 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.28942 cm} x{2.68758 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Intermolecular Forces in Fluids}} \tn % Row 0 \SetRowColor{LightBackground} Intermolecular Forces & Forces between molecules \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Cohesive Force & Attractive forces between molecules of the same type, such as surface tension \tn % Row Count 6 (+ 4) % Row 2 \SetRowColor{LightBackground} Surface Tension & the property of the surface of a liquid that allows it to resist external forces \tn % Row Count 10 (+ 4) % Row 3 \SetRowColor{white} Adhesive Forces & Forces of attraction between a liquid and a solid, such as capillarity \tn % Row Count 14 (+ 4) % Row 4 \SetRowColor{LightBackground} Applications of Capillarity & clothes absorbing water, and water moving up stems to leaves \tn % Row Count 17 (+ 3) % Row 5 \SetRowColor{white} Pascale's Principle & states that, in a fluid at rest in a closed container, a pressure change in one part is transmitted without loss to every portion of the fluid and to the walls of the container. \tn % Row Count 26 (+ 9) % Row 6 \SetRowColor{LightBackground} Application of Pascale's Principle & Hydraulic Lift \tn % Row Count 28 (+ 2) % Row 7 \SetRowColor{white} thermocouple & a sensor that detects temp \tn % Row Count 30 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.33919 cm} x{2.63781 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Specific Heat}} \tn % Row 0 \SetRowColor{LightBackground} Specific Heat & The amount of heat energy required to raise one kg of matter by 1 degree C \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} Transferred Heat Energy Formula & Q = mcΔT (c is the specific heat) \tn % Row Count 6 (+ 2) % Row 2 \SetRowColor{LightBackground} latent heat of fusion & the amount of heat energy required to melt 1 kg of a substance \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} latent heat of fusion formula & Q = mHf (Hf = heat of fusion) \tn % Row Count 11 (+ 2) % Row 4 \SetRowColor{LightBackground} Latent Heat Of Vaporization & the amount of heat energy required to evaporate 1 kg of a substance \tn % Row Count 15 (+ 4) % Row 5 \SetRowColor{white} Latent Heat Of Vaporization Formula & Q = mHv (Hv = heat of vaporization) \tn % Row Count 17 (+ 2) \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}{Buoyant Force and Liquid Pressure}} \tn % Row 0 \SetRowColor{LightBackground} Fluid's Pressure & P = ρgh (ρ = density, g = 9.8, h = height) \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Archimedes' principle & states that a body immersed in a fluid is subjected to an upward force equal to the weight of the displaced fluid \tn % Row Count 9 (+ 6) % Row 2 \SetRowColor{LightBackground} Buoyant Force & the force acting on an object opposite to gravity by a fluid in which it is submerged, opposing the weight \tn % Row Count 15 (+ 6) % Row 3 \SetRowColor{white} Buoyant Force Formula & F = ρ(fluid)Vg \tn % Row Count 17 (+ 2) % Row 4 \SetRowColor{LightBackground} applications of the buoyant force & ships, submarines \tn % Row Count 19 (+ 2) % Row 5 \SetRowColor{white} Viscosity & a measure of an object's resistance to flow \tn % Row Count 22 (+ 3) % Row 6 \SetRowColor{LightBackground} Bernoulli's principle & states that in horizontal fluids, the higher the velocity, the lower the pressure \tn % Row Count 27 (+ 5) % Row 7 \SetRowColor{white} applications of bernoulli's principle & spry paint, perfume atomizer \tn % Row Count 29 (+ 2) % Row 8 \SetRowColor{LightBackground} Solid Expansion & a change in the length, width, or height of a solid \tn % Row Count 32 (+ 3) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{2.38896 cm} x{2.58804 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Buoyant Force and Liquid Pressure (cont)}} \tn % Row 9 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{same depth = same pressure} \tn % Row Count 1 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Thermodynamics}} \tn % Row 0 \SetRowColor{LightBackground} The First Law Of Thermodynamics & E = Q - W \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} The Second law Of Thermodynamics & the law of entropy \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Entropy & The measure of a system's useless thermal energy, or disorder \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} Entropy Formula & ΔS = Q/T \tn % Row Count 8 (+ 1) % Row 4 \SetRowColor{LightBackground} Heat Engine & a device that converts thermal energy into work \tn % Row Count 11 (+ 3) % Row 5 \SetRowColor{white} Efficiency of a Heat Engine & Eff = W/Qh or Eff = ( Qh - Qc / Qh ) \tn % Row Count 13 (+ 2) % Row 6 \SetRowColor{LightBackground} Heat engine energy relations & Qh = W + Qc \tn % Row Count 15 (+ 2) % Row 7 \SetRowColor{white} Density & density = m/V \tn % Row Count 16 (+ 1) % Row 8 \SetRowColor{LightBackground} Pressure & P = F/A \tn % Row Count 17 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}