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Last active January 29, 2025 21:10
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ECT_MMF2_EXP5_conservacao-energia
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/nelisjunior/f2988b441da1ccf9708bdd78c8eb3a6e/ect_mmf2_exp5_conservacao-energia.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"# MMF2 - Experimento 5 - Conservação da energia\n",
"\n",
"\n",
"\n"
],
"metadata": {
"id": "xFRALbvXNLer"
}
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"id": "lIYdn1woOS1n",
"collapsed": true
},
"outputs": [],
"source": [
"# Instalação\n",
"# !pip install pandas numpy matplotlib scipy"
]
},
{
"cell_type": "code",
"source": [
"# Importação das Bibliotecas\n",
"\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import stats\n",
"from io import StringIO\n"
],
"metadata": {
"id": "K6y7l5AaOqgU"
},
"execution_count": 11,
"outputs": []
},
{
"cell_type": "markdown",
"source": [],
"metadata": {
"id": "2jt5eoOsPMrj"
}
},
{
"cell_type": "code",
"source": [
"\n",
"# @title Inicialização das variáveis\n",
"# Massas\n",
"gravidade = 9.78 # @param {\"type\":\"raw\",\"placeholder\":\"Força da gravidade\"}\n",
"massa_pesinho = 5 # @param {\"type\":\"raw\",\"placeholder\":\"Massa em gramas.\"}\n",
"qtd_pesinhos = 4 # @param {\"type\":\"raw\",\"placeholder\":\"Quantidade de pesinhos do sistema\"}\n",
"massa_carrinho = 189.08 # @param {\"type\":\"raw\",\"placeholder\":\"Massa do carrinho\"}\n",
"# Max deve ser igual a qtd_pesinhos\n",
"pesinhos_no_carrinho = 0 # @param {\"type\":\"slider\",\"min\":0,\"max\":4,\"step\":2}\n",
"\n",
"massa_total_carrinho = massa_carrinho + (pesinhos_no_carrinho)*massa_pesinho;\n",
"\n",
"massa_contrapeso = 1 + (qtd_pesinhos-pesinhos_no_carrinho)*(massa_pesinho);\n",
"\n",
"massa_Sistema = massa_carrinho + massa_contrapeso;"
],
"metadata": {
"id": "sjVtulmpOtLV"
},
"execution_count": 12,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# @title Fornecendo os dados\n",
"dados_brutos = '''\n",
"t [s] s [m]\n",
"0,0\t0\n",
"0,1\t0,005\n",
"0,2\t0,013\n",
"0,3\t0,022\n",
"0,4\t0,036\n",
"0,5\t0,053\n",
"0,6\t0,075\n",
"0,7\t0,102\n",
"0,8\t0,133\n",
"0,9\t0,168\n",
"1,0\t0,207\n",
"1,1\t0,251\n",
"1,2\t0,299\n",
"1,3\t0,352\n",
"1,4\t0,408\n",
"1,5\t0,469\n",
"1,6\t0,533\n",
"1,7\t0,602\n",
"1,8\t0,677\n",
"1,9\t0,755\n",
"2,0\t0,835\n",
"2,1\t0,908\n",
"'''"
],
"metadata": {
"id": "lsm964zPeFu0"
},
"execution_count": 13,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# @title Limpar e ler os dados\n",
"dados_brutos = dados_brutos.strip().replace(',', '.').replace('[s]', '').replace('[m]', '') # Padronizar decimais\n",
"df = pd.read_csv(StringIO(dados_brutos), sep='\\s+', decimal='.') # Ler dados\n",
"df.columns = ['t', 's'] # Renomear colunas\n",
"\n",
"# Garantir que t=0 e s=0 estão presentes\n",
"if df['t'].iloc[0] != 0 or df['s'].iloc[0] != 0:\n",
" df = pd.concat([pd.DataFrame({'t': [0], 's': [0]}), df]).reset_index(drop=True)\n",
"\n",
"# Calcular velocidade (v) usando a fórmula recursiva\n",
"v = [0.0]\n",
"for i in range(1, len(df)):\n",
" delta_t = df['t'][i] - df['t'][i-1]\n",
" delta_s = df['s'][i] - df['s'][i-1]\n",
" v_i = (2 * delta_s / delta_t) - v[i-1] if delta_t != 0 else 0\n",
" v.append(v_i)\n",
"df['v'] = v"
],
"metadata": {
"id": "PuzGutOSfh0a"
},
"execution_count": 14,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# @title Calcular energia mecânica (E)\n",
"M = massa_Sistema\n",
"m = massa_contrapeso\n",
"g = gravidade\n",
"\n",
"M0 = M + m\n",
"df['E'] = (0.5 * M0 * df['v']**2 - m * g * df['s']) * 1000 # Em mJ\n",
"\n",
"# Gráfico 1: Energia vs Tempo\n",
"plt.figure(figsize=(12, 4))\n",
"plt.subplot(131)\n",
"plt.plot(df['t'], df['E'], 'o-', color='blue')\n",
"plt.xlabel('Tempo (s)')\n",
"plt.ylabel('E (mJ)')\n",
"plt.title('Energia vs Tempo')\n",
"plt.grid()\n",
"\n",
"# Gráfico 2: Energia vs v²\n",
"plt.subplot(132)\n",
"plt.plot(df['v']**2, df['E'], 'o', color='red')\n",
"plt.xlabel('$v^2$ (m²/s²)')\n",
"plt.title('Energia vs $v^2$')\n",
"plt.grid()\n",
"\n",
"# Gráfico 3: Energia vs Deslocamento\n",
"plt.subplot(133)\n",
"plt.plot(df['s'], df['E'], 'o-', color='green')\n",
"plt.xlabel('Deslocamento (m)')\n",
"plt.title('Energia vs Deslocamento')\n",
"plt.grid()\n",
"\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# Modelagem dos dados (Questões 6.7 a 6.15)\n",
"print(\"\\n=== Modelagem ===\")\n",
"# Modelo 1: E = b0\n",
"b0 = np.mean(df['E'])\n",
"conf_int = stats.t.interval(0.95, len(df)-1, loc=b0, scale=stats.sem(df['E']))\n",
"print(f\"Modelo E = b0:\\n b0 = {b0:.2f} mJ | IC 95% = [{conf_int[0]:.2f}, {conf_int[1]:.2f}]\")\n",
"\n",
"# Modelo 2: E = b0 + b1*s\n",
"slope_s, intercept_s, _, _, _ = stats.linregress(df['s'], df['E'])\n",
"print(f\"\\nModelo E = b0 + b1*s:\\n b0 = {intercept_s:.2f} mJ | b1 = {slope_s:.2f} mJ/m\")\n",
"\n",
"# Modelo 3: E = b0 + b1*v²\n",
"slope_v2, intercept_v2, _, _, _ = stats.linregress(df['v']**2, df['E'])\n",
"print(f\"\\nModelo E = b0 + b1*v²:\\n b0 = {intercept_v2:.2f} mJ | b1 = {slope_v2:.2f} mJ·s²/m²\")"
],
"metadata": {
"id": "tz6u5qISTpLB",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 483
},
"outputId": "1179becc-c2bb-4b95-8512-307dee3581a3"
},
"execution_count": 15,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1200x400 with 3 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"=== Modelagem ===\n",
"Modelo E = b0:\n",
" b0 = -35921.07 mJ | IC 95% = [-51987.78, -19854.36]\n",
"\n",
"Modelo E = b0 + b1*s:\n",
" b0 = 2076.65 mJ | b1 = -121099.51 mJ/m\n",
"\n",
"Modelo E = b0 + b1*v²:\n",
" b0 = -605.93 mJ | b1 = -143060.50 mJ·s²/m²\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"# Versão um pouco mais elaborada"
],
"metadata": {
"id": "sQVayH0NiJ8f"
}
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import stats\n",
"\n",
"# =============================================\n",
"# @title DADOS EXPERIMENTAIS (INSIRA SEUS DADOS AQUI)\n",
"# Formato: t (tempo em segundos) | s (posição em metros)\n",
"# Recupere os dados\n",
"dados_experimentais = [\n",
" [0.0, 0.00],\n",
" [0.1, 0.02],\n",
" [0.2, 0.08],\n",
" [0.3, 0.18],\n",
" [0.4, 0.32],\n",
" [0.5, 0.50],\n",
" [1.3, 0.71],\n",
" [1.5, 0.93],\n",
" [1.7, 1.13]\n",
"]\n",
"# =============================================\n"
],
"metadata": {
"id": "QayCSySciO3j"
},
"execution_count": 26,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# @title Criar DataFrame com os dados\n",
"df = pd.DataFrame(dados_experimentais, columns=['t', 's'])\n",
"\n",
"# Calcular velocidade usando método recursivo\n",
"df['v'] = 0.0 # Inicializar coluna de velocidade\n",
"for i in range(1, len(df)):\n",
" Δt = df['t'][i] - df['t'][i-1]\n",
" Δs = df['s'][i] - df['s'][i-1]\n",
" df.loc[i, 'v'] = (2 * Δs / Δt) - df['v'][i-1] if Δt != 0 else 0\n",
"\n",
"# Parâmetros do sistema (AJUSTE ESTES VALORES!)\n",
"M = 0.200 # Massa do carrinho + discos (kg)\n",
"m = 0.011 # Massa do contrapeso (kg)\n",
"g = 9.78 # Aceleração gravitacional (m/s²)\n",
"M0 = M + m # Massa total do sistema\n",
"\n",
"# Calcular energia mecânica (convertida para miliJoules)\n",
"df['E'] = (0.5 * M0 * df['v']**2 - m * g * df['s']) * 1000\n",
"\n"
],
"metadata": {
"id": "bYfZ9I1Xiia3"
},
"execution_count": 27,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# -----------------------------------------------------\n",
"# @title MODELAGEM DOS DADOS (EXPLICADA PASSO A PASSO)\n",
"# -----------------------------------------------------\n",
"\n",
"def analisar_modelo(modelo, x, y, x_label, unidades_b1):\n",
" \"\"\"\n",
" Função para ajustar e analisar um modelo linear.\n",
" Retorna parâmetros e gráfico de ajuste.\n",
" \"\"\"\n",
" # Ajuste do modelo\n",
" slope, intercept, r_value, p_value, std_err = stats.linregress(x, y)\n",
"\n",
" # Cálculo do R² (coeficiente de determinação)\n",
" r_squared = r_value**2\n",
"\n",
" # Intervalos de confiança (95%)\n",
" conf_int_intercept = stats.t.interval(0.95, len(x)-1, loc=intercept, scale=std_err)\n",
" conf_int_slope = stats.t.interval(0.95, len(x)-1, loc=slope, scale=std_err)\n",
"\n",
" # Plotagem\n",
" plt.figure(figsize=(8, 4))\n",
" plt.scatter(x, y, label='Dados experimentais', color='navy')\n",
" plt.plot(x, intercept + slope*x, 'r--', label=f'Ajuste: $E = {intercept:.1f} + {slope:.1f}${x_label}$')\n",
" plt.xlabel(f'${x_label}$', fontsize=12)\n",
" plt.ylabel('Energia (mJ)', fontsize=12)\n",
" plt.title(f'Modelo: $E = b_0 + b_1${x_label}\\n$R² = {r_squared:.3f}$', fontsize=14)\n",
" plt.legend()\n",
" plt.grid(True)\n",
" plt.show()\n",
"\n",
" # Exibir resultados\n",
" print(f\"\\n🔍 Análise do Modelo $E = b_0 + b_1${x_label}:\")\n",
" print(f\" b0 (intercepto) = {intercept:.2f} mJ → IC95%: [{conf_int_intercept[0]:.2f}, {conf_int_intercept[1]:.2f}]\")\n",
" print(f\" b1 (inclinação) = {slope:.2f} {unidades_b1} → IC95%: [{conf_int_slope[0]:.2f}, {conf_int_slope[1]:.2f}]\")\n",
" print(f\" Coeficiente de Determinação (R²) = {r_squared:.3f}\")\n",
" print(\" Interpretação:\")\n",
" print(\" - Se IC incluir ZERO, o parâmetro NÃO é significativo\")\n",
" print(\" - R² próximo de 1 indica bom ajuste\")\n",
"\n"
],
"metadata": {
"id": "4mOGPKFOimV0"
},
"execution_count": 28,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# -------------------------------------------\n",
"# @title MODELO 1: Energia Constante (E = b0)\n",
"# -------------------------------------------\n",
"print(\"\\n\" + \"=\"*50)\n",
"print(\" MODELO 1: ENERGIA CONSTANTE (E = b₀)\")\n",
"print(\"=\"*50)\n",
"\n",
"# Calcular média e intervalo de confiança\n",
"media_E = np.mean(df['E'])\n",
"erro_padrao = stats.sem(df['E'])\n",
"conf_int = stats.t.interval(0.95, len(df)-1, loc=media_E, scale=erro_padrao)\n",
"\n",
"# Plotagem\n",
"plt.figure(figsize=(8, 4))\n",
"plt.plot(df['t'], df['E'], 'bo-', label='Dados experimentais')\n",
"plt.axhline(media_E, color='r', linestyle='--', label=f'Média: {media_E:.1f} mJ')\n",
"plt.fill_between(df['t'], conf_int[0], conf_int[1], color='red', alpha=0.1, label='IC 95%')\n",
"plt.xlabel('Tempo (s)', fontsize=12)\n",
"plt.ylabel('Energia (mJ)', fontsize=12)\n",
"plt.title('Modelo de Energia Constante', fontsize=14)\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()\n",
"\n",
"print(f\"\\n🔍 Resultados do Modelo 1:\")\n",
"print(f\" Valor médio de E = {media_E:.2f} mJ\")\n",
"print(f\" Intervalo de Confiança 95% = [{conf_int[0]:.2f}, {conf_int[1]:.2f}] mJ\")\n",
"print(\" Interpretação:\")\n",
"print(\" - Se o IC for estreito e não incluir variações grandes, energia é aproximadamente constante\")\n"
],
"metadata": {
"id": "OVikTwfpipdT",
"outputId": "1c11010c-e4c5-49c2-fe6e-49f8b33c1b83",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 589
}
},
"execution_count": 29,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"==================================================\n",
" MODELO 1: ENERGIA CONSTANTE (E = b₀)\n",
"==================================================\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"🔍 Resultados do Modelo 1:\n",
" Valor médio de E = 273.60 mJ\n",
" Intervalo de Confiança 95% = [-41.88, 589.09] mJ\n",
" Interpretação:\n",
" - Se o IC for estreito e não incluir variações grandes, energia é aproximadamente constante\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# -------------------------------------------\n",
"# @title MODELO 2: Energia vs Deslocamento (E = b₀ + b₁s)\n",
"# -------------------------------------------\n",
"print(\"\\n\" + \"=\"*50)\n",
"print(\" MODELO 2: ENERGIA vs DESLOCAMENTO (E = b₀ + b₁s)\")\n",
"print(\"=\"*50)\n",
"analisar_modelo(\"s\", df['s'], df['E'], \"s\", \"mJ/m\")\n"
],
"metadata": {
"id": "MF0KWtDzireQ",
"outputId": "25829a70-2fa1-451d-8f7f-7ae3d4d886cd",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 648
}
},
"execution_count": 30,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"==================================================\n",
" MODELO 2: ENERGIA vs DESLOCAMENTO (E = b₀ + b₁s)\n",
"==================================================\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"🔍 Análise do Modelo $E = b_0 + b_1$s:\n",
" b0 (intercepto) = 33.33 mJ → IC95%: [-679.55, 746.21]\n",
" b1 (inclinação) = 558.78 mJ/m → IC95%: [-154.10, 1271.66]\n",
" Coeficiente de Determinação (R²) = 0.318\n",
" Interpretação:\n",
" - Se IC incluir ZERO, o parâmetro NÃO é significativo\n",
" - R² próximo de 1 indica bom ajuste\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# -------------------------------------------\n",
"# @title MODELO 3: Energia vs Velocidade² (E = b₀ + b₁v²)\n",
"# -------------------------------------------\n",
"print(\"\\n\" + \"=\"*50)\n",
"print(\" MODELO 3: ENERGIA vs VELOCIDADE² (E = b₀ + b₁v²)\")\n",
"print(\"=\"*50)\n",
"analisar_modelo(\"v²\", df['v']**2, df['E'], \"v^2\", \"mJ·s²/m²\")"
],
"metadata": {
"id": "dppLWmvcisZE",
"outputId": "a5c5584f-f591-4fc7-85b8-6be82dd916ad",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 651
}
},
"execution_count": 31,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"==================================================\n",
" MODELO 3: ENERGIA vs VELOCIDADE² (E = b₀ + b₁v²)\n",
"==================================================\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"🔍 Análise do Modelo $E = b_0 + b_1$v^2:\n",
" b0 (intercepto) = -25.66 mJ → IC95%: [-32.93, -18.39]\n",
" b1 (inclinação) = 98.70 mJ·s²/m² → IC95%: [91.44, 105.97]\n",
" Coeficiente de Determinação (R²) = 0.993\n",
" Interpretação:\n",
" - Se IC incluir ZERO, o parâmetro NÃO é significativo\n",
" - R² próximo de 1 indica bom ajuste\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"# Versão ainda mais elaborada"
],
"metadata": {
"id": "kCwr6f3Jkz1e"
}
},
{
"cell_type": "code",
"source": [
"def analisar_modelo(modelo, df):\n",
" \"\"\"\n",
" Analisa um dos três modelos do experimento de conservação de energia:\n",
" - Modelo 1: E = b0 (constante)\n",
" - Modelo 2: E = b0 + b1*s (linear com deslocamento)\n",
" - Modelo 3: E = b0 + b1*v² (linear com velocidade²)\n",
"\n",
" Parâmetros:\n",
" modelo (int): 1, 2 ou 3 (define o modelo a ser analisado)\n",
" df (DataFrame): DataFrame com colunas 'E', 's', 'v'\n",
" \"\"\"\n",
"\n",
" plt.figure(figsize=(10, 4))\n",
"\n",
" if modelo == 1:\n",
" # ---------------------------------------------------------------------\n",
" # MODELO 1: Energia Constante (E = b0)\n",
" # ---------------------------------------------------------------------\n",
" media = np.mean(df['E'])\n",
" erro_padrao = stats.sem(df['E'])\n",
" conf_int = stats.t.interval(0.95, len(df)-1, loc=media, scale=erro_padrao)\n",
"\n",
" # Plotagem\n",
" plt.scatter(df['t'], df['E'], label='Dados Experimentais', color='blue')\n",
" plt.axhline(media, color='red', linestyle='--', label=f'Média: {media:.1f} mJ')\n",
" plt.fill_between(df['t'], conf_int[0], conf_int[1], color='red', alpha=0.2, label='IC 95%')\n",
" plt.xlabel('Tempo (s)')\n",
" plt.ylabel('Energia (mJ)')\n",
" plt.title('Modelo 1: Energia Constante ($E = b_0$)', pad=20)\n",
" plt.grid(True)\n",
"\n",
" # Conclusão Assertiva\n",
" variacao_percentual = 100 * (conf_int[1] - conf_int[0])/media\n",
" if variacao_percentual < 5:\n",
" conclusao = \"✅ Energia CONSERVADA (variação < 5%)\"\n",
" else:\n",
" conclusao = \"❌ Energia NÃO conservada (variação significativa).\"\n",
"\n",
" elif modelo == 2:\n",
" # ---------------------------------------------------------------------\n",
" # MODELO 2: E = b0 + b1*s (Deslocamento)\n",
" # ---------------------------------------------------------------------\n",
" slope, intercept, _, _, _ = stats.linregress(df['s'], df['E'])\n",
" y_pred = intercept + slope * df['s']\n",
"\n",
" # Plotagem\n",
" plt.scatter(df['s'], df['E'], label='Dados Experimentais', color='green')\n",
" plt.plot(df['s'], y_pred, 'r--', label=f'Ajuste: $E = {intercept:.1f} + {slope:.1f}s$')\n",
" plt.xlabel('Deslocamento (m)')\n",
" plt.ylabel('Energia (mJ)')\n",
" plt.title('Modelo 2: Energia vs Deslocamento ($E = b_0 + b_1 s$)', pad=20)\n",
" plt.grid(True)\n",
"\n",
" # Conclusão Assertiva\n",
" conf_int_slope = stats.t.interval(0.95, len(df)-1, loc=slope, scale=stats.sem(df['E']))\n",
" if conf_int_slope[0] * conf_int_slope[1] > 0: # Verifica se inclinação é significativa\n",
" conclusao = f\"⚠️ Energia varia com deslocamento (b1 = {slope:.1f} ± {np.diff(conf_int_slope)[0]/2:.1f} mJ/m)\\n Possível perda por atrito!\"\n",
" else:\n",
" conclusao = \"✅ Energia INDEPENDENTE do deslocamento\"\n",
"\n",
" elif modelo == 3:\n",
" # ---------------------------------------------------------------------\n",
" # MODELO 3: E = b0 + b1*v² (Velocidade²)\n",
" # ---------------------------------------------------------------------\n",
" v_quadrado = df['v']**2\n",
" slope, intercept, _, _, _ = stats.linregress(v_quadrado, df['E'])\n",
" y_pred = intercept + slope * v_quadrado\n",
"\n",
" # Plotagem\n",
" plt.scatter(v_quadrado, df['E'], label='Dados Experimentais', color='purple')\n",
" plt.plot(v_quadrado, y_pred, 'r--', label=f'Ajuste: $E = {intercept:.1f} + {slope:.1f}v^2$')\n",
" plt.xlabel('$v^2$ (m²/s²)')\n",
" plt.ylabel('Energia (mJ)')\n",
" plt.title('Modelo 3: Energia vs Velocidade² ($E = b_0 + b_1 v^2$)', pad=20)\n",
" plt.grid(True)\n",
"\n",
" # Conclusão Assertiva\n",
" b1_teorico = 0.5 * (M + m) * 1000 # Conversão para mJ (1/2*M0*v²)\n",
" conf_int_slope = stats.t.interval(0.95, len(df)-1, loc=slope, scale=stats.sem(df['E']))\n",
"\n",
" if conf_int_slope[0] <= b1_teorico <= conf_int_slope[1]:\n",
" conclusao = f\"✅ Modelo TEÓRICO válido (b1 esperado = {b1_teorico:.1f} mJ·s²/m²)\"\n",
" else:\n",
" conclusao = f\"❌ Discrepância com teoria (b1 experimental = {slope:.1f} vs teórico = {b1_teorico:.1f} mJ·s²/m²)\"\n",
"\n",
" else:\n",
" raise ValueError(\"Modelo inválido. Use 1, 2 ou 3.\")\n",
"\n",
" # Exibir resultados\n",
" plt.legend()\n",
" plt.tight_layout()\n",
" plt.show()\n",
" print(\"\\n\" + \"=\"*60)\n",
" print(f\"CONCLUSÃO PARA MODELO {modelo}:\")\n",
" print(conclusao)\n",
" print(\"=\"*60 + \"\\n\")"
],
"metadata": {
"id": "HDRp-fOFk2bx"
},
"execution_count": 22,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# @title Modelo de energia constante\n",
"analisar_modelo(1, df)"
],
"metadata": {
"id": "FaczOg2jk5YR",
"outputId": "b006bf69-43b4-46e1-ce60-de9197a633ea",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 473
}
},
"execution_count": 23,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"============================================================\n",
"CONCLUSÃO PARA MODELO 1:\n",
"❌ Energia NÃO conservada (variação significativa).\n",
"============================================================\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# @title Modelo vs deslocamento\n",
"analisar_modelo(2, df)"
],
"metadata": {
"id": "a2DTu1qVlCeJ",
"outputId": "b6864cad-c93c-45a6-eef2-61b47da64a26",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 491
}
},
"execution_count": 24,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"============================================================\n",
"CONCLUSÃO PARA MODELO 2:\n",
"⚠️ Energia varia com deslocamento (b1 = 558.8 ± 315.5 mJ/m)\n",
" Possível perda por atrito!\n",
"============================================================\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# @title Modelo vs velocidade²\n",
"analisar_modelo(3, df)"
],
"metadata": {
"id": "wZheTPo8lDHZ",
"outputId": "70bb488b-fbde-4b79-df56-fcd4d431cbcc",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 473
}
},
"execution_count": 25,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"============================================================\n",
"CONCLUSÃO PARA MODELO 3:\n",
"✅ Modelo TEÓRICO válido (b1 esperado = 105.5 mJ·s²/m²)\n",
"============================================================\n",
"\n"
]
}
]
}
],
"metadata": {
"colab": {
"name": "ECT_MMF2_EXP5_conservacao-energia",
"provenance": [],
"toc_visible": true,
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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