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\author{mordecoi}
\pdfinfo{
  /Title (fisica-ii-parcial-1.pdf)
  /Creator (Cheatography)
  /Author (mordecoi)
  /Subject (FISICA II | PARCIAL 1 Cheat Sheet)
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\noindent
\begin{multicols}{3}
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    {\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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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{FISICA II | PARCIAL 1 Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{mordecoi} via \textcolor{DarkBackground}{\uline{cheatography.com/151642/cs/40648/}}}
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\noindent
\begin{multicols}{3}
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  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}mordecoi \\
  \uline{cheatography.com/mordecoi} \\
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 6th October, 2023.\\
   Updated 14th November, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
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  Measure your website readability!\\
  www.readability-score.com
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\begin{document}
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\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Conversion de unidades}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{mili} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{10 \textasciicircum{}-3\textasciicircum{}} \tn 
% Row Count 2 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{A partir de 10 \textasciicircum{}-3\textasciicircum{} o 10 \textasciicircum{}3\textasciicircum{} va de 3 en 3. Por ejemplo mega = 10 \textasciicircum{}6\textasciicircum{} y micro = 10 \textasciicircum{}-6\textasciicircum{}}  \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}{Energía de un sistema}}  \tn
% Row 0
\SetRowColor{LightBackground}
Trabajo invertido por \{\{nl\}\} una fuerza {\bf{constante}} & W = {\emph{F}} . Δr . cosθ \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Trabajo invertido por \{\{nl\}\} una fuerza {\bf{variable}} & ∫xi xf Fx dx \tn 
% Row Count 6 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Producto escalar & {\bf{A}} . {\bf{B}} = {\bf{A}} . {\bf{B}} . cosθ \tn 
% Row Count 8 (+ 2)
% Row 3
\SetRowColor{white}
Energía {\bf{cinética}} & K = 1/2 . {\emph{m}} . {\emph{v}} \textasciicircum{}2\textasciicircum{} \tn 
% Row Count 10 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Energía {\bf{potencial}} \{\{nl\}\} gravitacional & Ug = {\emph{m}} . {\emph{g}} . {\emph{y}} \tn 
% Row Count 13 (+ 3)
% Row 5
\SetRowColor{white}
Energía {\bf{mecánica total}} \{\{nl\}\} de un sistema & {\emph{Emec}} = {\emph{ K + U}} \tn 
% Row Count 16 (+ 3)
% Row 6
\SetRowColor{LightBackground}
Angulo entre \{\{nl\}\} dos vectores & {\emph{cosθ}} = {\bf{A}} . {\bf{B}} / |{\bf{A}}| . |{\bf{B}}| \tn 
% Row Count 19 (+ 3)
% Row 7
\SetRowColor{white}
Teorema trabajo-energía & {\emph{W}} = Kf - Ki \tn 
% Row Count 21 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\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}{Circunferencia}}  \tn
% Row 0
\SetRowColor{LightBackground}
Radio & {\emph{r}} = {\emph{d / 2}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Diámetro & {\emph{d}} = {\emph{r . 2}} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Circunferencia & {\emph{C}} = {\emph{d . π}} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Area & {\emph{A}} = {\emph{r \textasciicircum{}2\textasciicircum{} . π}} \tn 
% Row Count 4 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{5.377cm}{x{1.46464 cm} x{1.55618 cm} x{1.55618 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Reglas para los signos de los espejos}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Cantidad}} & {\bf{Positivos cuando}} & {\bf{Negativos cuando}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Localización\{\{nl\}\}del objeto (p) & El objeto esta\{\{nl\}\}delante del espejo\{\{nl\}\}(objeto real) & El objeto esta\{\{nl\}\}delante del espejo\{\{nl\}\}(objeto virtual) \tn 
% Row Count 7 (+ 5)
% Row 2
\SetRowColor{LightBackground}
Localización\{\{nl\}\}de la imagen (q) & La imagen esta\{\{nl\}\}delante del espejo\{\{nl\}\}(imagen real) & La imagen esta\{\{nl\}\}delante del espejo\{\{nl\}\}(imagen virtual) \tn 
% Row Count 12 (+ 5)
% Row 3
\SetRowColor{white}
Altura de la\{\{nl\}\}imagen (h') & La imagen esta\{\{nl\}\}vertical & La imagen esta\{\{nl\}\}invertida \tn 
% Row Count 15 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Distancia focal (f) \{\{nl\}\} y radio (R) & El espejo es\{\{nl\}\}cóncavo & El espejo es\{\{nl\}\}convexo \tn 
% Row Count 19 (+ 4)
% Row 5
\SetRowColor{white}
Aumento (M) & La imagen esta\{\{nl\}\}vertical & La imagen esta\{\{nl\}\}invertida \tn 
% Row Count 22 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
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\begin{tabularx}{5.377cm}{x{1.46464 cm} x{1.55618 cm} x{1.55618 cm} }
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\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Reglas para los signos de los espejos}}  \tn
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{\bf{Cantidad}} & {\bf{Positivos cuando}} & {\bf{Negativos cuando}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Localización\{\{nl\}\}del objeto (p) & El objeto esta\{\{nl\}\}delante del espejo\{\{nl\}\}(objeto real) & El objeto esta\{\{nl\}\}detrás del espejo\{\{nl\}\}(objeto virtual) \tn 
% Row Count 7 (+ 5)
% Row 2
\SetRowColor{LightBackground}
Localización\{\{nl\}\}de la imagen (q) & La imagen esta\{\{nl\}\}delante del espejo\{\{nl\}\}(imagen real) & La imagen esta\{\{nl\}\}detrás del espejo\{\{nl\}\}(imagen virtual) \tn 
% Row Count 12 (+ 5)
% Row 3
\SetRowColor{white}
Altura de la\{\{nl\}\}imagen (h') & La imagen esta\{\{nl\}\}vertical & La imagen esta\{\{nl\}\}invertida \tn 
% Row Count 15 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Distancia focal (f) \{\{nl\}\} y radio (R) & El espejo es\{\{nl\}\}cóncavo & El espejo es\{\{nl\}\}convexo \tn 
% Row Count 19 (+ 4)
% Row 5
\SetRowColor{white}
Aumento (M) & La imagen esta\{\{nl\}\}vertical & La imagen esta\{\{nl\}\}invertida \tn 
% Row Count 22 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
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\begin{tabularx}{5.377cm}{x{1.46464 cm} x{1.55618 cm} x{1.55618 cm} }
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\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Reglas para los signos de los espejos}}  \tn
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{\bf{Cantidad}} & {\bf{Positivos cuando}} & {\bf{Negativos cuando}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Localización\{\{nl\}\}del objeto (p) & El objeto esta\{\{nl\}\}delante del espejo\{\{nl\}\}(objeto real) & El objeto esta\{\{nl\}\}detrás del espejo\{\{nl\}\}(objeto virtual) \tn 
% Row Count 7 (+ 5)
% Row 2
\SetRowColor{LightBackground}
Localización\{\{nl\}\}de la imagen (q) & La imagen esta\{\{nl\}\}delante del espejo\{\{nl\}\}(imagen real) & La imagen esta\{\{nl\}\}detrás del espejo\{\{nl\}\}(imagen virtual) \tn 
% Row Count 12 (+ 5)
% Row 3
\SetRowColor{white}
Altura de la\{\{nl\}\}imagen (h') & La imagen esta\{\{nl\}\}vertical & La imagen esta\{\{nl\}\}invertida \tn 
% Row Count 15 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Distancia focal (f) \{\{nl\}\} y radio (R) & El espejo es\{\{nl\}\}cóncavo & El espejo es\{\{nl\}\}convexo \tn 
% Row Count 19 (+ 4)
% Row 5
\SetRowColor{white}
Aumento (M) & La imagen esta\{\{nl\}\}vertical & La imagen esta\{\{nl\}\}invertida \tn 
% Row Count 22 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
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\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}{Gravitación universal}}  \tn
% Row 0
\SetRowColor{LightBackground}
Campo gravitacional & {\emph{g}} = {\emph{F`g` / m}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Constante gravitacional \{\{nl\}\} universal & {\emph{G}} = 6.673 X 10 \textasciicircum{}-11\textasciicircum{} \{\{nl\}\} N.m\textasciicircum{}2\textasciicircum{} / kg \textasciicircum{}2\textasciicircum{} \tn 
% Row Count 4 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Fuerza de atracción \{\{nl\}\} gravitacional & {\emph{F`g`}} = {\emph{G m`1`.m`2` / r \textasciicircum{}2\textasciicircum{}}} \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
Energía potencial \{\{nl\}\} gravitacional & {\emph{U}} = {\emph{- G m`1`.m`2` / r \textasciicircum{}2\textasciicircum{}}} \tn 
% Row Count 9 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Constante de proporcionalidad \{\{nl\}\} del sol & {\emph{K`s`}} = {\emph{2.974 X 10 \textasciicircum{}-19\textasciicircum{}}} \{\{nl\}\} s \textasciicircum{}2\textasciicircum{} / m \textasciicircum{}3\textasciicircum{} \tn 
% Row Count 12 (+ 3)
% Row 5
\SetRowColor{white}
Tercera ley de Kepler & {\emph{T \textasciicircum{}2\textasciicircum{}}} = {\emph{K`s` . a \textasciicircum{}3\textasciicircum{}}} \tn 
% Row Count 14 (+ 2)
% Row 6
\SetRowColor{LightBackground}
Fuerza centrípeta & {\emph{F}} = {\emph{m . v \textasciicircum{}2\textasciicircum{} / r}} \tn 
% Row Count 16 (+ 2)
% Row 7
\SetRowColor{white}
Rapidez de escape & {\emph{V`esc`}} = {\emph{√(2.G.M / R)}} \tn 
% Row Count 18 (+ 2)
% Row 8
\SetRowColor{LightBackground}
Velocidad orbital & {\emph{V`orb`}} = {\emph{√(G.M / R)}} \tn 
% Row Count 20 (+ 2)
% Row 9
\SetRowColor{white}
Masa de dos astros con\{\{nl\}\}orbita circular alrededor \{\{nl\}\}de un centro de masa & {\emph{m}} = {\emph{2 . v \textasciicircum{}3\textasciicircum{} . T / π . G}} \tn 
% Row Count 24 (+ 4)
% Row 10
\SetRowColor{LightBackground}
Para cualquier cuerpo \{\{nl\}\} orbitando al sol & {\emph{T}} = {\emph{años}} y {\emph{a}} = {\emph{UA}} \{\{nl\}\} =\textgreater{}  {\emph{K}} = {\emph{1}} \tn 
% Row Count 27 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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% Row 0
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Aumento de la imagen & M = h' / h \{\{nl\}\}~~~~= -q / p \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Ecuación del espejo en\{\{nl\}\}función del radio de curvatura & 1 / p + 1 / q = 2 / R \tn 
% Row Count 6 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Distancia focal & f = R / 2 \tn 
% Row Count 7 (+ 1)
% Row 3
\SetRowColor{white}
Ecuación del espejo en\{\{nl\}\}función de la distancia focal & 1 / p + 1 / q = 1 / f \tn 
% Row Count 10 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{5.377cm}{X}
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Construcción geométrica espejos cóncavos}}  \tn
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\begin{tabularx}{5.377cm}{x{2.58804 cm} x{2.38896 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Lentes delgadas}}  \tn
% Row 0
\SetRowColor{LightBackground}
Ecuación de los\{\{nl\}\}fabricantes de lentes & 1 / f = (n - 1) ((1 / R1) - (1 / R2)) \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Ecuación de las\{\{nl\}\}lentes delgadas & 1 / p + 1 / q = 1 / f \tn 
% Row Count 5 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{5.377cm}{x{1.54287 cm} x{3.43413 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Elasticidad de los solidos}}  \tn
% Row 0
\SetRowColor{LightBackground}
Modulo de Young & mide la resistencia de un sólido\{\{nl\}\}a un cambio en su longitud. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
 & {\emph{Y}} = {\emph{(F/A) / (ΔL/Li)}} \tn 
% Row Count 4 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Modulo de corte & mide la resistencia al movimiento\{\{nl\}\}de los planos dentro de un sólido paralelos unos con otros. \tn 
% Row Count 8 (+ 4)
% Row 3
\SetRowColor{white}
 & {\emph{S}} = {\emph{(F/A) / Δx/h}} \tn 
% Row Count 9 (+ 1)
% Row 4
\SetRowColor{LightBackground}
Modulo volumetrico & mide la resistencia de los sólidos o líquidos a cambios en su volumen. \tn 
% Row Count 12 (+ 3)
% Row 5
\SetRowColor{white}
 & {\emph{B}} = {\emph{-(F/A) / (ΔV/Vi)}} = {\emph{-ΔP / (ΔV/Vi)}} \tn 
% Row Count 14 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Recta}}  \tn
% Row 0
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Formula & {\emph{y}} = {\emph{mx + b}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Pendiente & {\emph{y}} = {\emph{y2 - y1 / x2 - x1}} \tn 
% Row Count 2 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{5.377cm}{x{1.34379 cm} x{3.63321 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Espejos planos}}  \tn
% Row 0
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Aumento lateral & M = altura de la imagen / altura del objeto \{\{nl\}\} h' / h \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{5.377cm}{X}
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Construcción geométrica espejos planos}}  \tn
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\begin{tabularx}{5.377cm}{x{2.63781 cm} x{2.33919 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Imágenes formadas por refracción}}  \tn
% Row 0
\SetRowColor{LightBackground}
Relación entre\{\{nl\}\}distancia objeto\{\{nl\}\}y distancia imagen & (n1 / p) + (n2 / q) = (n2 - n1) / R \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Relación entre\{\{nl\}\}distancia objeto\{\{nl\}\}y distancia imagen\{\{nl\}\}(superficie plana) & q = - (n2 / n1) / p \tn 
% Row Count 8 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}