energie_mouvement.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "olive-thinking",
   "metadata": {
    "tags": []
   },
   "source": [
    "<h1 align=\"center\" style=\"font-size:40px\"> ETUDE ENERGETIQUE D'UN MOUVEMENT </h1> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "infinite-amber",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "\n",
    "**CONSIGNES GENERALES**\n",
    "    \n",
    "* Bien lire les consignes dans les cadres bleus.\n",
    "* Avant de passer à la questions suivante, penser à exécuter la cellule de code modifiée\n",
    "* En cas de blocage trop important, regarder la solution et copier / coller le code \n",
    "* N'exécuter que la cellule contenant les résultats du mouvement choisi.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "included-traveler",
   "metadata": {
    "tags": []
   },
   "source": [
    "<div class=\"alert alert-info\" role=\"alert\">\n",
    "\n",
    "**Consignes**\n",
    "* Exécuter la cellule 0 pour importer les modules nécessaires.\n",
    "* Exécuter la cellule 1 pour étudier le mouvement de la balle de golf.\n",
    "* Exécuter la cellule 2 pour le mouvement du pendule dans l'air\n",
    "* Exécuter la cellule 3 pour le mouvement du pendule dans l'eau.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "boxed-county",
   "metadata": {},
   "outputs": [],
   "source": [
    "### Cellule 0 : importation des modules ###\n",
    "import matplotlib.pyplot as plt\n",
    "from math import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "furnished-senate",
   "metadata": {},
   "outputs": [],
   "source": [
    "### Cellule 1 : balle de golf ###\n",
    "\n",
    "y = [0.004031963073, 0.3023972305, 0.5422990333, 0.7459131685, 0.8950958022, 1.007990768, 1.074518159, 1.092661993, 1.07653414, 1.005974787, 0.9011437468, 0.7418812054, 0.5584268856, 0.304413212]\n",
    "x = [0.0, 0.1491826337, 0.3084451751, 0.4616597718, 0.6128583871, 0.7620410208, 0.9192875806, 1.06242227, 1.215636866, 1.362803519, 1.516018115, 1.673264675, 1.816399364, 1.973645924]\n",
    "t = [0.0, 0.066667, 0.133334, 0.200001, 0.266668, 0.333335, 0.400002, 0.466669, 0.533336, 0.600003, 0.66667, 0.733337, 0.800004, 0.866671]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "female-directive",
   "metadata": {},
   "outputs": [],
   "source": [
    "### Cellule 2 : pendule dans l'air ###\n",
    "y = [-0.001102047926, 0.0002129984766, 0.004291424206, 0.0118311638, 0.01868573033, 0.01445842072, 0.04141271269, 0.05037100843, 0.05451465948, 0.04554785609, 0.03797408589, 0.02971939645, 0.02216264156, 0.01461439431, 0.009144353327, 0.005058837889, 0.00300757252, 0.008647766509, 0.01556046865, 0.02182628215, 0.02947378532, 0.03641342835, 0.0419671279, 0.04751090185, 0.05027995294, 0.04889684534, 0.04474043281, 0.0385015602, 0.0308696544, 0.023227823, 0.01627258261, 0.009305998682, 0.004413367192, 0.004346723932, 0.006356868992, 0.01251491892, 0.01868714827, 0.02554880451, 0.03380632983, 0.03999841037, 0.04550531783, 0.04826018951, 0.0489496164, 0.04619474472, 0.0413758462, 0.03518518361, 0.026934748, 0.02006742, 0.01321143552, 0.007050549707, 0.004345305991, 0.005793638914, 0.008610900025, 0.01349785975, 0.02253272434, 0.02947945708, 0.036421936, 0.04266080861, 0.04682005702, 0.04751657361, 0.04682147496, 0.04197279966, 0.036421936, 0.02809918536, 0.01906715665, 0.01280559697, 0.006528439938, 0.003014662229, 0.002950854852, 0.006344107517, 0.0125106651, 0.01867864062, 0.0262382314, 0.03380349395, 0.04068641931, 0.04550673578, 0.04757218056, 0.04688275367, 0.04412646405, 0.04000124625, 0.03380916572, 0.02624532111, 0.01800055727, 0.01045231002, 0.005673113869, 0.003661550868, 0.005101376141, 0.008617989733, 0.01489372883, 0.02184471539, 0.02948229297, 0.03711419877, 0.04128053689, 0.04544120324, 0.04682572878, 0.04405384181, 0.04058827412, 0.03365146697, 0.02670898805, 0.01837347594, 0.01141398172, 0.00583192334, 0.003004736637, 0.004325454807, 0.007720125413, 0.01181273056, 0.02005607646, 0.02830934796, 0.03449292084, 0.04137726415, 0.04482014477, 0.04688417161, 0.04688417161, 0.04344270893, 0.03862806424, 0.03312682853, 0.0248721391, 0.01663021114, 0.01115449839, 0.006372466351, 0.00367147646, 0.005797892739, 0.009310252507, 0.01627541849, 0.02392008577, 0.02948371091, 0.03780646155, 0.04265939067, 0.04612495836, 0.0468228929, 0.04474043281, 0.03988892163, 0.03433664003, 0.02670331628, 0.01905155929, 0.01140547407, 0.006514260521, 0.004379336592]\n",
    "x = [0.2003435832, 0.2328161262, 0.2652943409, 0.2943254212, 0.3205917042, 0.3606521968, 0.3551807379, 0.3662526884, 0.3669520409, 0.3600251593, 0.347574355, 0.3302862189, 0.3095452766, 0.2846592653, 0.2570141285, 0.2279901379, 0.2176232116, 0.1623669687, 0.1603086136, 0.1368326508, 0.1133595239, 0.09817511699, 0.08506040873, 0.07678161428, 0.07402390672, 0.07471191567, 0.08023016667, 0.09058007767, 0.1064539114, 0.127163659, 0.149947359, 0.1782578177, 0.2058816854, 0.2383513925, 0.2687528189, 0.2977810633, 0.3199008594, 0.3427129182, 0.3586193647, 0.3710673331, 0.3807505043, 0.384901245, 0.3855935078, 0.3814427671, 0.3731427035, 0.3600038902, 0.3406432196, 0.3205945401, 0.2950191019, 0.2673725472, 0.2390422373, 0.2065753661, 0.1803289343, 0.1554684459, 0.1292347756, 0.1105961445, 0.094030048, 0.083680137, 0.07678019634, 0.07401823495, 0.07608935151, 0.0822970294, 0.094030048, 0.1099024638, 0.1347544445, 0.1561578728, 0.1851605943, 0.2141689875, 0.2452570049, 0.2749704224, 0.2998535978, 0.3240459284, 0.343405181, 0.3600010543, 0.3724504407, 0.3800596595, 0.3835181374, 0.3828258747, 0.3793659787, 0.3696856434, 0.357237675, 0.3399509569, 0.3178269069, 0.2929408956, 0.2652971768, 0.2355865952, 0.207264793, 0.1768747101, 0.1485628335, 0.127851668, 0.1092144549, 0.09334062111, 0.08298645629, 0.07539567079, 0.07401681701, 0.07815621424, 0.08367588318, 0.09747860039, 0.1140446969, 0.1361347162, 0.1609909508, 0.1879225557, 0.2190049013, 0.248714065, 0.2777366376, 0.303306404, 0.3261212987, 0.3441002797, 0.3606933171, 0.3724518587, 0.377985707, 0.3821350298, 0.3821350298, 0.3759103366, 0.3655377386, 0.3530911881, 0.335803052, 0.3122973124, 0.2874155549, 0.2611535257, 0.2307506814, 0.2045028316, 0.1761852832, 0.1485656694, 0.1264742321, 0.10852361, 0.09265119422, 0.08437098184, 0.07885131289, 0.07539850668, 0.08023016667, 0.08781953423, 0.1002433977, 0.1168080763, 0.1423537377, 0.1651360198, 0.1920690426, 0.2224619614]\n",
    "t= [0.0, 0.03336666667, 0.06673333333, 0.1001, 0.1334666667, 0.1668333333, 0.2002, 0.2335666667, 0.2669333333, 0.3003, 0.3336666667, 0.3670333333, 0.4004, 0.4337666667, 0.4671333333, 0.5005, 0.5338666667, 0.5672333333, 0.6006, 0.6339666667, 0.6673333333, 0.7007, 0.7340666667, 0.7674333333, 0.8008, 0.8341666667, 0.8675333333, 0.9009, 0.9342666667, 0.9676333333, 1.001, 1.034366667, 1.067733333, 1.1011, 1.134466667, 1.167833333, 1.2012, 1.234566667, 1.267933333, 1.3013, 1.334666667, 1.368033333, 1.4014, 1.434766667, 1.468133333, 1.5015, 1.534866667, 1.568233333, 1.6016, 1.634966667, 1.668333333, 1.7017, 1.735066667, 1.768433333, 1.8018, 1.835166667, 1.868533333, 1.9019, 1.935266667, 1.968633333, 2.002, 2.035366667, 2.068733333, 2.1021, 2.135466667, 2.168833333, 2.2022, 2.235566667, 2.268933333, 2.3023, 2.335666667, 2.369033333, 2.4024, 2.435766667, 2.469133333, 2.5025, 2.535866667, 2.569233333, 2.6026, 2.635966667, 2.669333333, 2.7027, 2.736066667, 2.769433333, 2.8028, 2.836166667, 2.869533333, 2.9029, 2.936266667, 2.969633333, 3.003, 3.036366667, 3.069733333, 3.1031, 3.136466667, 3.169833333, 3.2032, 3.236566667, 3.269933333, 3.3033, 3.336666667, 3.370033333, 3.4034, 3.436766667, 3.470133333, 3.5035, 3.536866667, 3.570233333, 3.6036, 3.636966667, 3.670333333, 3.7037, 3.737066667, 3.770433333, 3.8038, 3.837166667, 3.870533333, 3.9039, 3.937266667, 3.970633333, 4.004, 4.037366667, 4.070733333, 4.1041, 4.137466667, 4.170833333, 4.2042, 4.237566667, 4.270933333, 4.3043, 4.337666667, 4.371033333, 4.4044, 4.437766667, 4.471133333, 4.5045, 4.537866667, 4.571233333]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "demanding-animal",
   "metadata": {},
   "outputs": [],
   "source": [
    "### Cellule 3 : pendule dans l'eau ###\n",
    "y = [-0.001170109128, -0.0004792642967, 0.00495958197, 0.00837410376, 0.01041686148, 0.0138427268, 0.01727851772, 0.02002913557, 0.02140515347, 0.02140373552, 0.02002629969, 0.01727142801, 0.01521732676, 0.01316747933, 0.009046515349, 0.007003757631, 0.00358072819, 0.00154506018, 0.001574836956, 0.0009208586086, 0.002330907106, 0.004433218376, 0.005146750275, 0.007241971837, 0.008635005034, 0.01003229206, 0.01003938176, 0.01142532525, 0.01004221765, 0.009344283108, 0.007952667853, 0.006558216714, 0.005160929692, 0.003760806787, 0.001665585225, 0.0002597905529, -0.0004551592876, -0.00117152707, -0.001192796196, 0.0001633705169, 0.0008315282812, 0.001505357812, 0.002870032175, 0.003550951415, 0.004231870654, 0.003536771997, 0.003536771997, 0.003538189939, 0.002165007926, 0.002864360408, 0.000803169447, -0.000564340799, -0.001235334447, -0.001219737088, -0.001199885904, -0.001175780895, -0.002539037316, -0.001141750294, -0.00112189911, 0.0009662327432, 0.000981830102, 0.001682600526, 0.003072797839, 0.002387624774, 0.002390460658, 0.002390460658, 0.002745705083, 0.002153149854, 0.001682600526, 0.0002909852704, -0.0004140389782, -0.001811326, -0.002514932307, -0.002529111724, -0.002548962908, -0.001872297493, -0.001890730736, -0.001904910153, -0.0005373999066, 0.0008315282812, 0.0008244385726, 0.0008216026892, 0.0008145129807, 0.000813095039, 0.0008159309224, -0.0005629228573, 0.0001335937411, -0.0005515793237, -0.001231080622, -0.001910581919, -0.001897820444, -0.001885058969, -0.00186946161, -0.001161601478, -0.001842520718, -0.0004452336957, -0.0004353081038, 0.0002697161449, 0.0002768058534, 0.0009747403935, 0.002362101823, 0.002366355649, 0.002366355649, 0.001672674934, 0.0009761583352, 0.0009719045101, 0.0009619789181]\n",
    "x = [0.2335041351, 0.2335055531, 0.2763492762, 0.2957000211, 0.3102120164, 0.3240360028, 0.3330240753, 0.3392473505, 0.3420135658, 0.3427044106, 0.3406290402, 0.3364782995, 0.3274930628, 0.3164352917, 0.3046824219, 0.2901704266, 0.2749647506, 0.2569985312, 0.2424907897, 0.2245274061, 0.2107133454, 0.1962098578, 0.1851577584, 0.1741084949, 0.1685845721, 0.1609881149, 0.1575338907, 0.1554641921, 0.1561522011, 0.1596050073, 0.1644380852, 0.1706528528, 0.1782493101, 0.187227457, 0.1982767205, 0.2100182467, 0.2217611909, 0.23419498, 0.2445576524, 0.2569956953, 0.2680506305, 0.2763421864, 0.2846351603, 0.2894724921, 0.2943098238, 0.2963809404, 0.2963809404, 0.2956900956, 0.2915421907, 0.2873985396, 0.2818675272, 0.274956243, 0.2652829974, 0.2576837042, 0.2480118766, 0.2362675145, 0.2272836958, 0.2196872385, 0.2100154109, 0.2024203715, 0.1948210784, 0.1899865825, 0.1858443494, 0.1830795521, 0.1816978625, 0.1816978625, 0.1824464386, 0.1850873293, 0.1899865825, 0.1948196604, 0.2017266908, 0.2093231481, 0.2155393336, 0.2224477819, 0.2321196096, 0.2390294758, 0.2480104586, 0.254918907, 0.2618301912, 0.2680506305, 0.2715048547, 0.2728865443, 0.2763407685, 0.2770316133, 0.2756499237, 0.2742653981, 0.2715034367, 0.2687386395, 0.2632104629, 0.2576822863, 0.2514646828, 0.2452470793, 0.2376477862, 0.2293590661, 0.2245217344, 0.2169252771, 0.2120893633, 0.2051823329, 0.2017281088, 0.1982753025, 0.1955147591, 0.1934422246, 0.1934422246, 0.1948224963, 0.1975844577, 0.1996569922, 0.204492906]\n",
    "t = [0.2669333333, 0.3003, 0.3336666667, 0.3670333333, 0.4004, 0.4337666667, 0.4671333333, 0.5005, 0.5338666667, 0.5672333333, 0.6006, 0.6339666667, 0.6673333333, 0.7007, 0.7340666667, 0.7674333333, 0.8008, 0.8341666667, 0.8675333333, 0.9009, 0.9342666667, 0.9676333333, 1.001, 1.034366667, 1.067733333, 1.1011, 1.134466667, 1.167833333, 1.2012, 1.234566667, 1.267933333, 1.3013, 1.334666667, 1.368033333, 1.4014, 1.434766667, 1.468133333, 1.5015, 1.534866667, 1.568233333, 1.6016, 1.634966667, 1.668333333, 1.7017, 1.735066667, 1.768433333, 1.8018, 1.835166667, 1.868533333, 1.9019, 1.935266667, 1.968633333, 2.002, 2.035366667, 2.068733333, 2.1021, 2.135466667, 2.168833333, 2.2022, 2.235566667, 2.268933333, 2.3023, 2.335666667, 2.369033333, 2.4024, 2.435766667, 2.469133333, 2.5025, 2.535866667, 2.569233333, 2.6026, 2.635966667, 2.669333333, 2.7027, 2.736066667, 2.769433333, 2.8028, 2.836166667, 2.869533333, 2.9029, 2.936266667, 2.969633333, 3.003, 3.036366667, 3.069733333, 3.1031, 3.136466667, 3.169833333, 3.2032, 3.236566667, 3.269933333, 3.3033, 3.336666667, 3.370033333, 3.4034, 3.436766667, 3.470133333, 3.5035, 3.536866667, 3.570233333, 3.6036, 3.636966667, 3.670333333, 3.7037, 3.737066667, 3.770433333, 3.8038]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "optional-block",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-info\" role=\"alert\">\n",
    "\n",
    "**Consignes**\n",
    "* Compléter le code de manière à obtenir la valeur de la vitesse au point $M_i$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "sealed-daniel",
   "metadata": {},
   "outputs": [],
   "source": [
    "def vitesse(x, y,t, i):\n",
    "    '''Fonction prenant en argument des listes de coordonnées spatiales et de dates x, y, t, et l'indice i dont on veut connaitre la vitesse.\n",
    "    Elle renvoie la valeur de la vitesse correspondant.'''\n",
    "    dt = t[2] - t[1]\n",
    "    vx_i = (...) / (...)\n",
    "    vy_i = (...) / (...)\n",
    "    vit_i = sqrt(... + ...)\n",
    "    return vit_i"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "electoral-flooring",
   "metadata": {
    "tags": []
   },
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    <details>\n",
    "        <summary> <b> Aides </b> </summary>\n",
    "\n",
    "* Le calcul approché de la vitesse instantannée se fait avec les coordonnées des points suivant et points précédent.\n",
    "* Attention à la durée écoulée entre les points considérés.\n",
    "* la norme d'un vecteur est la racine carré de la somme des carrés de ses coodonnées.\n",
    "    </details>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "numerous-martin",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    " <details>\n",
    "        <summary> <b> Solution </b> </summary>\n",
    "\n",
    "* **Ligne 5 :** vx_i = (x[i+1] - x[i-1]) / (2 * dt)\n",
    "* **Ligne 6 :** vy_i = (y[i+1] - y[i-1]) / (2 * dt)\n",
    "* **Ligne 7 :** vit_i = sqrt(vx_i ** 2 + vy_i ** 2)\n",
    "    </details>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "breeding-pension",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-info\" role=\"alert\">\n",
    "\n",
    "**Consignes**\n",
    "    \n",
    "* Compléter les lignes 12, 13, 14, 15 pour calculer la vitesse et les différentes énergie à la date $t_i$.\n",
    "* Compléter les lignes 16, 17, 18 pour ajouter les valeurs précédentes aux listes Ec, Epp et Em\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "serial-hebrew",
   "metadata": {},
   "outputs": [],
   "source": [
    "# données expérimentales\n",
    "m = ... # kg\n",
    "g = 9.81 # N/kg\n",
    "\n",
    "N = ... # Nb de points expérimentaux\n",
    "#Initialisation des listes\n",
    "Ec = []\n",
    "Epp = []\n",
    "Em = []\n",
    "#Remplissage des listes\n",
    "for i in range(1,N-1): # Pas le dernier point et le premier point\n",
    "    v_i = ...\n",
    "    Ec_i = ...\n",
    "    Epp_i = ...\n",
    "    \n",
    "    Ec.append(...)                       \n",
    "    Epp.append(...)                       \n",
    "    Em.append(...)                        "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "referenced-dance",
   "metadata": {
    "tags": []
   },
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    <details>\n",
    "        <summary> <b> Aides </b> </summary>\n",
    "        <ul>\n",
    "            <li> <b> Ligne 12 : </b> Il faut appeler la fonction vitesse définie précédemment. </li>\n",
    "            <li> <b> Ligne 13 : </b> Revoir la définition de l'énergie cinétique et utiliser la valeur de la vitesse calculée la ligne précédente. </li>\n",
    "            <li> <b> Ligne 14 : </b> Revoir la définition de l'énergie potentielle de pesanteur et penser qu'on a besoin de la valeur de la liste y d'indice i. </li>\n",
    "            <li> <b> Ligne 16, 17, 18 : </b> Pour calculer une nouvelle grandeur, voir  la notice <a href=\"https://nuage-creteil.beta.education.fr/s/XisdgRc2MtEw7WZ?dir=undefined&path=%2FNotices%2FPython%2FNotice_python_graph&openfile=20451\"> pdf </a> ou le <a href=\"https://tube-creteil.beta.education.fr/videos/watch/8ba61fa9-08ac-4e32-947b-dbcafc736fa6\"> tuto vidéo </a> </li>\n",
    "        </ul>\n",
    "    </details>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "scientific-hostel",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    " <details>\n",
    "        <summary> <b> Solution </b> </summary>\n",
    "        <ul>\n",
    "            <li> <b> Ligne 12 : </b> v_i = vitesse(x,y,t,i) </li>\n",
    "            <li> <b> Ligne 13 : </b> Ec_i = .5 * m * v_i**2 </li>\n",
    "            <li> <b> Ligne 14 : </b> Epp_i = m *g * y[i] </li>\n",
    "            <li> <b> Ligne 16 : </b> Ec.append(Ec_i) </li>\n",
    "            <li> <b> Ligne 17 : </b> Epp.append(Epp_i) </li>\n",
    "            <li> <b> Ligne 18 : </b> Em.append(Ec_i + Epp_i) </li>\n",
    "        </ul>\n",
    "    </details>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "processed-slovenia",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-info\" role=\"alert\">\n",
    "\n",
    "**Consignes**\n",
    "    \n",
    "Exécuter la cellule et passer à la suite.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "conscious-invitation",
   "metadata": {},
   "outputs": [],
   "source": [
    "t = t[1:-1] # On supprime la 1ere  et la dernière date car aucune énergie n'y est calculée"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "quick-reform",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-info\" role=\"alert\">\n",
    "\n",
    "**Consignes**\n",
    "    \n",
    "Compléter les lignes la cellule pour tracer la variation des différentes énergies en fonction du temps.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "caring-watch",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "plt.plot(..., ...,'o', label=\"Ec\")                   \n",
    "plt.plot(..., ...,'o', label=\"Epp\")              \n",
    "plt.plot(...,... , 'o', label=\"Em\")                   \n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)\n",
    "plt.xlabel(\"...\")                        \n",
    "plt.ylabel(\"...\")                   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "prime-screening",
   "metadata": {
    "tags": []
   },
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    <details>\n",
    "        <summary> <b> Aides </b> </summary>\n",
    "    <p> Pas d'aide ici! Vous devriez pouvoir vous débrouiller avec la notice <a href=\"https://nuage-creteil.beta.education.fr/s/XisdgRc2MtEw7WZ?dir=undefined&path=%2FNotices%2FPython%2FNotice_python_graph&openfile=20451\"> pdf </a> ou le <a href=\"https://tube-creteil.beta.education.fr/videos/watch/8ba61fa9-08ac-4e32-947b-dbcafc736fa6\"> tuto vidéo </a>\n",
    "    </details>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "interested-associate",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    " <details>\n",
    "        <summary> <b> Solution </b> </summary>\n",
    "        <ul>\n",
    "            <li> <b> Ligne 1 : </b> plt.plot(t, Ec,'o-', label=\"Ec\")  </li>\n",
    "            <li> <b> Ligne 2 : </b> plt.plot(t, Epp,'o-', label=\"Epp\") </li>\n",
    "            <li> <b> Ligne 3 : </b> plt.plot(t, Em, 'o-', label=\"Em\") </li>\n",
    "            <li> <b> Ligne 8: </b> plt.xlabel(\"t/s\") </li>\n",
    "            <li> <b> Ligne 9: </b> Epp.append(\"E/J\") </li>\n",
    "        </ul>\n",
    "    </details>\n",
    "</div>"
   ]
  }
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