\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{NoelleEvelyn} \pdfinfo{ /Title (physics-1-final.pdf) /Creator (Cheatography) /Author (NoelleEvelyn) /Subject (Physics 1 Final 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}{ED77E9} \definecolor{LightBackground}{HTML}{FCEEFC} \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 1 Final Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{NoelleEvelyn} via \textcolor{DarkBackground}{\uline{cheatography.com/168075/cs/41553/}}} \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}NoelleEvelyn \\ \uline{cheatography.com/noelleevelyn} \\ \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 21st December, 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{3.12 cm} x{4.88 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Velocity}} \tn % Row 0 \SetRowColor{LightBackground} Velocity & How fast and in what direction an object is going. \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Formula (average velocity) & change in position/ time \tn % Row Count 5 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{p{3.2 cm} p{4.8 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Practice test things to remember}} \tn % Row 0 \SetRowColor{LightBackground} t= & d/v \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{8.4cm}}{when force isnt} \tn % Row Count 2 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.6 cm} x{4.4 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Unit 3 vocab}} \tn % Row 0 \SetRowColor{LightBackground} Drag Force & force esherted on an object in opposition as object moves through fluid (including air) \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} As velocity increases, drag force & increases \tn % Row Count 6 (+ 2) % Row 2 \SetRowColor{LightBackground} Terminal Velocity & When drag force = force of gravity \tn % Row Count 8 (+ 2) % Row 3 \SetRowColor{white} Interaction pair & two forces in opposite direction have = magnitude \tn % Row Count 11 (+ 3) % Row 4 \SetRowColor{LightBackground} Tension & Force exherted by a string or rope \tn % Row Count 13 (+ 2) % Row 5 \SetRowColor{white} Normal force & Force surface exherts to keep objects from passing through \tn % Row Count 16 (+ 3) % Row 6 \SetRowColor{LightBackground} Resultant & Sum of adding vectors \tn % Row Count 17 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.76 cm} x{6.24 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Definitions}} \tn % Row 0 \SetRowColor{LightBackground} Inertia & tendancy of an object to resist change \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{Equilibrium} & when net force is zero \tn % Row Count 4 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.68 cm} x{6.32 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Force}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Definition} & A push or pull exherted on an object \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{Equation} & F=ma \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} One unit & kgm/s\textasciicircum{}2 \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} Net Force & vector sum of all forces on an object \tn % Row Count 6 (+ 2) % Row 4 \SetRowColor{LightBackground} \seqsplit{Fappearant} & = ma+Fg \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.52 cm} x{4.48 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Acceleration}} \tn % Row 0 \SetRowColor{LightBackground} Acceleration & The rate at which velocity changes \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Formula for acceleration & Change in velocity/ time \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Formula for change in velocity & V2-V1 \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Speeding Up & When velocity and acceleration are in same direction \tn % Row Count 9 (+ 3) % Row 4 \SetRowColor{LightBackground} Slowing down & When velocity and acceleration are in opposite directions \tn % Row Count 12 (+ 3) % Row 5 \SetRowColor{white} Accelerating at a constant speed & A car can be accelerating at a constant speed around a corner \tn % Row Count 15 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.4 cm} x{5.6 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Unit 1 Vocab}} \tn % Row 0 \SetRowColor{LightBackground} Physics & A branch of science involving the physical world: energy, matter and how they relate \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Hypothesis & An educated guess \tn % Row Count 4 (+ 1) % Row 2 \SetRowColor{LightBackground} Model & Representation of a natural phenomena \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Scientific Law & A rule of nature \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} Scientific Theory & A well supported and test explanation of a natural phenomea \tn % Row Count 11 (+ 3) % Row 5 \SetRowColor{white} Precision & The smallest division marked on an instrument \tn % Row Count 13 (+ 2) % Row 6 \SetRowColor{LightBackground} Uncertainty & One half the smallest division marked on an instrument \tn % Row Count 15 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.32 cm} x{5.68 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Diagrams of Motion}} \tn % Row 0 \SetRowColor{LightBackground} Motion Diagram & Shows subject at equal time intervals along path of motion \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Particle Diagram & Subject is represented by particles at equal time intervals (simplified) \tn % Row Count 6 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.44 cm} x{4.56 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Types of Motion}} \tn % Row 0 \SetRowColor{LightBackground} Linear & Straight Line \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Circular & Circle \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} Projectile & arch \tn % Row Count 3 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.96 cm} x{5.04 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Sig Fig Calculations}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Multiplication/Division} & Answer has same number of sig figs as least number in problem \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \seqsplit{Addition/Subtraction} & Answer is a precise as least precise number in the problem \tn % Row Count 6 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.76 cm} x{6.24 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Sig Figs}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Definition} & The valid digits in a number \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Sig figs & All nonzeros \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} Sig figs & All sandwiched zeros \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} Sig figs & All following zeros after a decimal \tn % Row Count 6 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.4 cm} x{5.6 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Measurements}} \tn % Row 0 \SetRowColor{LightBackground} Vectors & Numbers with magnitude and direction \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Vector quantities & Velocity, acceleration, force, momentum, displacement \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Scalar & Numbers without direction \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} Scalar quantities & speed, distance, temperature, mass \tn % Row Count 7 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.8 cm} x{5.2 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Graphing Motion}} \tn % Row 0 \SetRowColor{LightBackground} Position Time Graph & Shows how position of an object varies with time. \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Slope of Position Time & Shows velocity \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Velocity Time graph & Shows how velocity varies with time \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Area under curve & Shows distance \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.32 cm} x{5.68 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Speed}} \tn % Row 0 \SetRowColor{LightBackground} Speed & How fast an object is going \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Average speed & d/t \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} Instaneous speed & the speed at a specific instant in time \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} \seqsplit{-Speedometer} & speed during 1 tire revolution \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} -Radar gun & speed while a car travels 1 inch \tn % Row Count 9 (+ 2) % Row 5 \SetRowColor{white} Scalar & Only has number value \tn % Row Count 10 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.8 cm} x{5.2 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Displacement}} \tn % Row 0 \SetRowColor{LightBackground} Displacement & Difference in position \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Formula & change in x= x2-x1 \tn % Row Count 2 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.44 cm} x{6.56 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Graphing Relationships}} \tn % Row 0 \SetRowColor{LightBackground} Linear & Straight line, y=mx+b \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \seqsplit{Quadratic} & Palarbora, one variable depends on square of another, y=ax\textasciicircum{}2+bx+c backwards C \tn % Row Count 4 (+ 3) % Row 2 \SetRowColor{LightBackground} \seqsplit{Inverse} & Hyperbola, y=a/x, one variable depends on inverse of another, fowards C \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} \seqsplit{Radical} & y=a radical x upside down u that doesn't connect \tn % Row Count 9 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.36 cm} x{6.64 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Percent error}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Formula} & experimental - actual /actual x100 \tn % Row Count 2 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.4 cm} x{5.6 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Force}} \tn % Row 0 \SetRowColor{LightBackground} System & object the force is exherted on \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} External world & everything around the object that exherts force on the object \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} Contact force & Exherts a force on system by touching the object \tn % Row Count 7 (+ 2) % Row 3 \SetRowColor{white} Field forces & exherts a force on the system without touching the object \tn % Row Count 10 (+ 3) % Row 4 \SetRowColor{LightBackground} Free body diagram & physical model that represents the forces acting on a system \tn % Row Count 13 (+ 3) % Row 5 \SetRowColor{white} Resultant force & Single force with same effect as 2 individual forces added together \tn % Row Count 16 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{p{0.8 cm} x{7.2 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Newton's Laws}} \tn % Row 0 \SetRowColor{LightBackground} 1st & object at rest will stay at rest and in motion will stay in motion unless acted on by a net force \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} 2nd & Acceleration of an object is sum of forces acting on it divided by the mass of the object \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} 3rd & Forces come in pairs \tn % Row Count 7 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.64 cm} x{5.36 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Scientific Notation}} \tn % Row 0 \SetRowColor{LightBackground} Moving decimal left & Positive exponent \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Moving decimal right & Negative exponent \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Uncertainty & The exponent of 10 minus number of following zeros in the problem \tn % Row Count 7 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{4.72 cm} x{3.28 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Solving vectors}} \tn % Row 0 \SetRowColor{LightBackground} Adding methods & Tail to tip or parellelogram \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} If right triangle & pythagoreom theorum \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} If vectors make right angle, angle of resultant is & inverse tangent B/A \tn % Row Count 7 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Friction}} \tn % Row 0 \SetRowColor{LightBackground} Kinetic friction & Acts on moving objects \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Static friction & Acts on stationary objects \tn % Row Count 4 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}