Commit 43561431 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent b6edab4f
Pipeline #13246 canceled with stage
...@@ -544,15 +544,14 @@ $`\begin{align} ...@@ -544,15 +544,14 @@ $`\begin{align}
& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\ & =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
& =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\
& =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\
& \color{blue}{\mathbf{\large{=d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)}}\\ & \color{blue}{\mathbf{\large{=d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)}}}\\
& \color{brown}{\mathbf{=d\mathcal{E}^{cin}}}\\ & \color{brown}{\mathbf{\large{=d\mathcal{E}^{cin}}}}\\
\end{align}`$ \end{align}`$
* Par définition, l'**énergie cinétique**, de notation **$`\mathbf{\mathcal{E}^{cin}}`$** est : * Par définition, l'**énergie cinétique**, de notation **$`\mathbf{\mathcal{E}^{cin}}`$** est :
<br> <br>
$`\color{brown}{\large{\mathbf{\mathcal{E}^{cin}=\dfrac{m\,\mathscr{v}^2}{2}}}}\color{blue}{\large{\mathbf{\;=\dfrac{p^2}{2\,m}}}}`$ $`\color{brown}{\large{\mathbf{\mathcal{E}^{cin}=\dfrac{m\,\mathscr{v}^2}{2}}}}\color{blue}{\large{\mathbf{\;=\dfrac{p^2}{2\,m}}}}`$
$`\large{\mathbf{\color{brown}{\mathcal{E}^{cin}=\dfrac{m\,\mathscr{v}^2}{2}}\color{blue}{\large{\mathbf{\;=\dfrac{p^2}{2\,m}}}}`$
! *Remarque :* ! *Remarque :*
! !
......
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