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%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
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% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
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% Document Info
\author{caitlin.eliz}
\pdfinfo{
  /Title (gcse-physics-equations.pdf)
  /Creator (Cheatography)
  /Author (caitlin.eliz)
  /Subject (GCSE Physics equations Cheat Sheet)
}

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\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{GCSE Physics equations Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{caitlin.eliz} via \textcolor{DarkBackground}{\uline{cheatography.com/173374/cs/36428/}}}
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\noindent
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\begin{tabulary}{5.8cm}{LL}
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}caitlin.eliz \\
  \uline{cheatography.com/caitlin-eliz} \\
  \end{tabulary}
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\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 8th January, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
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  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
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\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*}{4}

\begin{tabularx}{3.833cm}{x{0.92691 cm} x{2.50609 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{P1 - energy}}  \tn
% Row 0
\SetRowColor{LightBackground}
K.E = 1/2 mv\textasciicircum{}2\textasciicircum{} & Kinetic energy = 1/2 x mass x (velocity)\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
EPE = 1/2 ke\textasciicircum{}2\textasciicircum{} & Elastic potential energy = 1/2 x spring constant x (extension)\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 5 (+ 3)
% Row 2
\SetRowColor{LightBackground}
GPE = mgh & Gravitational potential energy = mass x gravity x height \tn 
% Row Count 7 (+ 2)
% Row 3
\SetRowColor{white}
TE = mCΔT & Thermal energy = mass x specific heat capacity x change in temp. \tn 
% Row Count 10 (+ 3)
% Row 4
\SetRowColor{LightBackground}
C = E/mΔT & Specific heat capacity = energy / mass x change in temp. \tn 
% Row Count 12 (+ 2)
% Row 5
\SetRowColor{white}
\mymulticolumn{2}{x{3.833cm}}{Efficiency = (useful energy output/ total energy input) x100} \tn 
% Row Count 14 (+ 2)
% Row 6
\SetRowColor{LightBackground}
WD = Fs & Work done  = Force x distance \tn 
% Row Count 15 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.30454 cm} x{2.12846 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{P2 - electricity}}  \tn
% Row 0
\SetRowColor{LightBackground}
P = E/t & Power = energy transferred/ time \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
P = WD/t & Power = work done/ time \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
P =V\textasciicircum{}2\textasciicircum{}/ R & Power = (potential difference)\textasciicircum{}2\textasciicircum{}/ resistance \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
P = IV & Power = current x potential difference \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
P = I\textasciicircum{}2\textasciicircum{}R & Power = (current)\textasciicircum{}2\textasciicircum{} x resistance \tn 
% Row Count 9 (+ 2)
% Row 5
\SetRowColor{white}
Q = It & Charge flow = current x time \tn 
% Row Count 11 (+ 2)
% Row 6
\SetRowColor{LightBackground}
V = IR & Potential difference = current x resistance \tn 
% Row Count 13 (+ 2)
% Row 7
\SetRowColor{white}
E = ItV & Energy = current x time x potential difference \tn 
% Row Count 15 (+ 2)
% Row 8
\SetRowColor{LightBackground}
E = QV & Energy = charge flow x potential difference \tn 
% Row Count 17 (+ 2)
% Row 9
\SetRowColor{white}
E = Pt & Energy transferred = power x time \tn 
% Row Count 19 (+ 2)
% Row 10
\SetRowColor{LightBackground}
RT = R1+R2+R3... & Series circuit total resistance \tn 
% Row Count 21 (+ 2)
% Row 11
\SetRowColor{white}
1/RT= 1/R2+ 1/R2+ 1/R3... & Parallel circuit total resistance \tn 
% Row Count 23 (+ 2)
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\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{0.85825 cm} x{2.57475 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{P3 - particle model of matter}}  \tn
% Row 0
\SetRowColor{LightBackground}
ρ=m/V & Density = mass/ Volume \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
E=mL & Energy for a change of state = mass x specific latent heat of fusion OR vaporisation \tn 
% Row Count 4 (+ 3)
% Row 2
\SetRowColor{LightBackground}
PV = constant & For gases: pressure x volume = constant \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
P=F/A & Pressure = force / area \tn 
% Row Count 7 (+ 1)
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\begin{tabularx}{3.833cm}{x{1.0299 cm} x{2.4031 cm} }
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\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{P5 - forces and motion}}  \tn
% Row 0
\SetRowColor{LightBackground}
v=s/t & Speed = distance/ time \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
v=(v+u)/2 x t & Average speed = (final speed + initial speed)/2 x time \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
a=Δv/ t & Acceleration = change in velocity/ time \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
v=u+at & Velocity = initial velocity + (acceleration x time) \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
v\textasciicircum{}2\textasciicircum{}=u\textasciicircum{}2\textasciicircum{}+2as & (Final velocity)\textasciicircum{}2\textasciicircum{} = (initial velocity)\textasciicircum{}2\textasciicircum{}+(2 x acceleration x distance) \tn 
% Row Count 10 (+ 3)
% Row 5
\SetRowColor{white}
s=ut+1/2 at\textasciicircum{}2\textasciicircum{} & Distance = (initial velocity x time) + (1/2 x acceleration x time\textasciicircum{}2\textasciicircum{}) \tn 
% Row Count 13 (+ 3)
% Row 6
\SetRowColor{LightBackground}
W=mg & Weight = mass x gravitational field strength \tn 
% Row Count 15 (+ 2)
% Row 7
\SetRowColor{white}
F=ma & Newton's 2nd: Force = mass x acceleration \tn 
% Row Count 17 (+ 2)
% Row 8
\SetRowColor{LightBackground}
F=ke & Force = spring constant x extension \tn 
% Row Count 19 (+ 2)
% Row 9
\SetRowColor{white}
EPE=1/2 Fe & Elastic potential energy = 1/2 x Force x extension \tn 
% Row Count 21 (+ 2)
% Row 10
\SetRowColor{LightBackground}
Momentum=mv & Momentum = mass x velocity \tn 
% Row Count 22 (+ 1)
% Row 11
\SetRowColor{white}
\seqsplit{F=(Δmomentum)/} t & Force = change in momentum/ time \tn 
% Row Count 24 (+ 2)
% Row 12
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{3.833cm}}{Momentum before = momentum after} \tn 
% Row Count 25 (+ 1)
% Row 13
\SetRowColor{white}
\mymulticolumn{2}{x{3.833cm}}{Stopping distance = thinking distance + braking distance} \tn 
% Row Count 27 (+ 2)
% Row 14
\SetRowColor{LightBackground}
s=1/2 mv\textasciicircum{}2\textasciicircum{}/F & Braking distance = kinetic energy/ Force \tn 
% Row Count 29 (+ 2)
% Row 15
\SetRowColor{white}
Moment=Fs & Moment = Force x distance from pivot \tn 
% Row Count 31 (+ 2)
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\par\addvspace{1.3em}

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\begin{tabularx}{3.833cm}{x{1.0299 cm} x{2.4031 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{P5 - forces and motion (cont)}}  \tn
% Row 16
\SetRowColor{LightBackground}
P = F/A & Pressure = Force/ Area \tn 
% Row Count 1 (+ 1)
% Row 17
\SetRowColor{white}
P = hρg & Pressure in a fluid = height x density x gravity \tn 
% Row Count 3 (+ 2)
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\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{p{0.44629 cm} x{2.98671 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{P6 - waves}}  \tn
% Row 0
\SetRowColor{LightBackground}
v=fλ & Velocity = frequency x wavelength \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
T=1/f & Period = 1/frequency \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{3.833cm}}{Speed of light = 3x10\textasciicircum{}8\textasciicircum{}m/s} \tn 
% Row Count 3 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{p{0.78959 cm} x{2.64341 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{P7 - magnetism and electromagnetism}}  \tn
% Row 0
\SetRowColor{LightBackground}
F=BIl & Force on a conductor (at right angles to a magnetic field) carrying a current =  magnetic flux density x current x length \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
Vp/Vs= np/ns & PD across primary coil/ PD across secondary coil = n\textasciicircum{}o\textasciicircum{} of turns in primary coil/ n\textasciicircum{}o\textasciicircum{} of coils in secondary coil \tn 
% Row Count 9 (+ 4)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{VpIp=VsIs} & PD across primary coil x current across primary coil = PD across secondary coil x current across secondary coil \tn 
% Row Count 13 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.12221 cm} x{1.33452 cm} p{0.57627 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{3.833cm}}{\bf\textcolor{white}{SI units and symbols}}  \tn
% Row 0
\SetRowColor{LightBackground}
Acceleration & m/s\textasciicircum{}2\textasciicircum{} & a \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Area & m\textasciicircum{}2\textasciicircum{} & A \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Magnetic flux density & Tesla (Vs/m\textasciicircum{}2\textasciicircum{}) & B \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
Specific heat capacity & J/kg\textasciicircum{}o\textasciicircum{}C & C \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Extension & Metres (m) & e \tn 
% Row Count 7 (+ 1)
% Row 5
\SetRowColor{white}
Energy & Joules (J) & E \tn 
% Row Count 8 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Frequency & Hertz (Hz) & f \tn 
% Row Count 9 (+ 1)
% Row 7
\SetRowColor{white}
Force & Newtons (N) & F \tn 
% Row Count 10 (+ 1)
% Row 8
\SetRowColor{LightBackground}
Gravitational field strength & N/kg & g \tn 
% Row Count 12 (+ 2)
% Row 9
\SetRowColor{white}
Height & Metres (m) & h \tn 
% Row Count 13 (+ 1)
% Row 10
\SetRowColor{LightBackground}
Current & Amps (A) & I \tn 
% Row Count 14 (+ 1)
% Row 11
\SetRowColor{white}
Spring constant & Newtons per metre (N/m OR Nm\textasciicircum{}-1\textasciicircum{}) & k \tn 
% Row Count 16 (+ 2)
% Row 12
\SetRowColor{LightBackground}
Length & m & l \tn 
% Row Count 17 (+ 1)
% Row 13
\SetRowColor{white}
Specific latent heat & J/kg & L \tn 
% Row Count 19 (+ 2)
% Row 14
\SetRowColor{LightBackground}
Mass & Kilograms (kg) & m \tn 
% Row Count 20 (+ 1)
% Row 15
\SetRowColor{white}
Moment & Nm & Moment \tn 
% Row Count 21 (+ 1)
% Row 16
\SetRowColor{LightBackground}
Momentum & kgm/s & \seqsplit{Momentum} OR mv \tn 
% Row Count 23 (+ 2)
% Row 17
\SetRowColor{white}
Pressure & N/m\textasciicircum{}2\textasciicircum{} & P \tn 
% Row Count 24 (+ 1)
% Row 18
\SetRowColor{LightBackground}
Power & Watts (W) & P \tn 
% Row Count 25 (+ 1)
% Row 19
\SetRowColor{white}
Charge & Coulombs (C) & Q \tn 
% Row Count 26 (+ 1)
% Row 20
\SetRowColor{LightBackground}
Resistance & Ohms (Ω) & R \tn 
% Row Count 27 (+ 1)
% Row 21
\SetRowColor{white}
Displacement/ distance & Metres (m) & s \tn 
% Row Count 29 (+ 2)
% Row 22
\SetRowColor{LightBackground}
Time & Seconds (s) & t \tn 
% Row Count 30 (+ 1)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{3.833cm}{x{1.12221 cm} x{1.33452 cm} p{0.57627 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{3.833cm}}{\bf\textcolor{white}{SI units and symbols (cont)}}  \tn
% Row 23
\SetRowColor{LightBackground}
Half-life &  & t1/2 \tn 
% Row Count 1 (+ 1)
% Row 24
\SetRowColor{white}
Period & s & T \tn 
% Row Count 2 (+ 1)
% Row 25
\SetRowColor{LightBackground}
Temperature & Degrees celcius (\textasciicircum{}o\textasciicircum{}C) & T \tn 
% Row Count 4 (+ 2)
% Row 26
\SetRowColor{white}
Velocity/ speed & Metres per second (m/s OR ms\textasciicircum{}-1\textasciicircum{}) & v \tn 
% Row Count 6 (+ 2)
% Row 27
\SetRowColor{LightBackground}
Volume & m\textasciicircum{}3\textasciicircum{} & V \tn 
% Row Count 7 (+ 1)
% Row 28
\SetRowColor{white}
Potential difference & Volts (V) & V \tn 
% Row Count 9 (+ 2)
% Row 29
\SetRowColor{LightBackground}
Work done & Nm OR J & WD \tn 
% Row Count 10 (+ 1)
% Row 30
\SetRowColor{white}
Weight & Newtons (N) & W OR mg \tn 
% Row Count 11 (+ 1)
% Row 31
\SetRowColor{LightBackground}
Change in... &  & Δ \tn 
% Row Count 12 (+ 1)
% Row 32
\SetRowColor{white}
Wavelength & m & λ \tn 
% Row Count 13 (+ 1)
% Row 33
\SetRowColor{LightBackground}
Density & kg/m\textasciicircum{}3\textasciicircum{} & ρ \tn 
% Row Count 14 (+ 1)
% Row 34
\SetRowColor{white}
Activity & Becquerels (Bq) &  \tn 
% Row Count 15 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}