{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "collisions-000",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T16:51:05.686789Z",
"iopub.status.busy": "2026-10-15T16:51:05.686600Z",
"iopub.status.idle": "2026-10-15T16:51:06.329683Z",
"shell.execute_reply": "2026-10-15T16:51:06.329209Z"
},
"jupyter": {
"source_hidden": true
},
"tags": [
"setup"
]
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pathlib import Path\n",
"import sys\n",
"ROOT=next(p for p in (Path.cwd(),*Path.cwd().parents) if (p/'pyproject.toml').exists())\n",
"sys.path.insert(0,str(ROOT/'src'))\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from IPython.display import display,Markdown,HTML\n",
"from physicslab.common.theme import EXPORT_CSS\n",
"from physicslab.common.manuscripts import table_display,metrics_display,display_plotly,series_plot\n",
"from physicslab.experiments import collisions as adapter\n",
"EXP=ROOT/'experiments/course-01/collisions'\n",
"result=adapter.analyze(EXP)\n",
"import json\n",
"labels=json.loads((EXP/'authoring.json').read_text(encoding='utf-8')).get('metric_labels',{})\n",
"for key,value in result['metrics'].items():value.setdefault('label',labels.get(key,key))\n",
"display(HTML(EXPORT_CSS))\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-001",
"metadata": {},
"source": [
"# 碰撞规律研究实验报告\n",
"\n",
"淮南师范学院 电子工程学院 物理学专业 24物理1班 \n",
"姓名：缪雨轩 学号：2414050120 实验日期：2025年11月13日\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-002",
"metadata": {},
"source": [
"## 一、实验名称\n",
"\n",
"碰撞规律的研究。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-003",
"metadata": {},
"source": [
"## 二、实验目的\n",
"\n",
"利用气垫导轨研究一维完全弹性、完全非弹性及一般非弹性碰撞；检验动量与机械能变化规律，了解恢复系数的测定，掌握光电计时和误差分析。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-004",
"metadata": {},
"source": [
"## 三、实验原理\n",
"\n",
"### 1. 动量与恢复系数\n",
"\n",
"在碰撞过程中，若外力冲量可忽略，则两滑块满足\n",
"\n",
"$$\n",
"m_1v_{10}+m_2v_{20}=m_1v_1+m_2v_2.\n",
"$$\n",
"\n",
"恢复系数定义为碰后分离速度与碰前接近速度之比：\n",
"\n",
"$$\n",
"e=\\left\\vert \\frac{v_2-v_1}{v_{10}-v_{20}}\\right\\vert .\n",
"$$\n",
"\n",
"理想完全弹性碰撞 $e=1$，动能守恒；理想完全非弹性碰撞 $e=0$，碰后共同运动。动能耗散与动量变化是不同概念：内部形变能耗散本身不破坏孤立系统总动量守恒。\n",
"\n",
"### 2. 本次重撞轻模型\n",
"\n",
"轻块碰前静止，即 $v_{20}=0$。完全粘合时，\n",
"\n",
"$$\n",
"v_{\\mathrm{c}}=\\frac{m_1}{m_1+m_2}v_{10},\\qquad\n",
"\\frac{E_{\\mathrm{in}}-E_{\\mathrm{out}}}{E_{\\mathrm{in}}}=\\frac{m_2}{m_1+m_2}.\n",
"$$\n",
"\n",
"理想弹性情况下，\n",
"\n",
"$$\n",
"v_1=\\frac{m_1-m_2}{m_1+m_2}v_{10},\\qquad\n",
"v_2=\\frac{2m_1}{m_1+m_2}v_{10},\\qquad\n",
"K_{\\mathrm{th}}=\\frac{v_2}{v_1}=\\frac{2m_1}{m_1-m_2}.\n",
"$$\n",
"\n",
"本次弹性组未记录 $v_{10}$，故仅能比较碰后速度比；该比较不能替代对动量、动能守恒和恢复系数的独立测量。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-005",
"metadata": {},
"source": [
"## 四、主要仪器设备\n",
"\n",
"气垫导轨及气源、带挡光片的滑块、光电计时器、天平、弹射架或弹簧圈、尼龙搭扣或橡皮泥、游标卡尺。滑块质量含附件，$m_1=341.75\\,\\mathrm{g}$，$m_2=154.49\\,\\mathrm{g}$。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-006",
"metadata": {},
"source": [
"## 五、实验步骤\n",
"\n",
"开启气源并调平导轨，使无碰撞滑块近似匀速运动，记录包含挡光片和碰撞附件的质量。将轻块静置于两光电门间，重块通过第一光电门后与之碰撞；粘合碰撞记录入射速度及共同速度，改变入射速度重复五次。弹性附件条件下记录碰后两滑块速度，其中滑块1有两次读数。\n",
"\n",
"操作步骤还包括交换入射块进行轻撞重，但现有数据没有该组测量；本次分析限定为记录齐全的重撞轻情形。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-007",
"metadata": {},
"source": [
"## 六、原始数据记录\n",
"\n",
"\n",
"\n",
"表 1 完全非弹性碰撞速度记录\n",
"\n",
"\n",
"\n",
"| 序号 | $v_{10} / (\\mathrm{cm\\,s^{-1}})$ | $v_{\\mathrm{c}} / (\\mathrm{cm\\,s^{-1}})$ |\n",
"| --- | --- | --- |\n",
"| 1 | 71.02 | 48.31 |\n",
"| 2 | 90.33 | 59.7 |\n",
"| 3 | 86.21 | 57.27 |\n",
"| 4 | 100 | 65.57 |\n",
"| 5 | 92.51 | 62.19 |\n",
"\n",
"\n",
"\n",
"表 2 弹性附件条件下的碰后速度记录\n",
"\n",
"\n",
"\n",
"| 序号 | 滑块1速度第一次 / (cm s⁻¹) | 滑块2速度 / (cm s⁻¹) | 滑块1速度第二次 / (cm s⁻¹) |\n",
"| --- | --- | --- | --- |\n",
"| 1 | 28.02 | 98.17 | 28.64 |\n",
"| 2 | 18.76 | 63.01 | 20.21 |\n",
"| 3 | 33.42 | 97.09 | 30.6 |\n",
"| 4 | 25.03 | 88.18 | 25.9 |\n",
"| 5 | 26.5 | 92.68 | 27.02 |\n",
"\n",
"速度统一按入射方向为正。弹性组滑块1两次读数沿用同组平均的处理方式；两次测量时刻及间隔未给出。\n",
"\n"
]
},
{
"attachments": {
"momentum_deviation.svg": {
"image/svg+xml": [
"<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="756pt" height="475.2pt" viewBox="0 0 756 475.2" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2026-10-16T00:51:03.816799</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.11.2, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 475.2 
L 756 475.2 
L 756 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 69.5 414.753125 
L 738 414.753125 
L 738 14.4 
L 69.5 14.4 
z
" style="fill: #ffffff"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <defs>
       <path id="m4c48fd120e" d="M 0 0 
L 0 -3.5 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m4c48fd120e" x="99.886364" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_1">
      <!-- 1.0 -->
      <g transform="translate(89.886364 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-14" d="M 750 3822 
L 1781 4325 
L 1884 4325 
L 1884 747 
Q 1884 391 1914 303 
Q 1944 216 2037 169 
Q 2131 122 2419 116 
L 2419 0 
L 825 0 
L 825 116 
Q 1125 122 1212 167 
Q 1300 213 1334 289 
Q 1369 366 1369 747 
L 1369 3034 
Q 1369 3497 1338 3628 
Q 1316 3728 1258 3775 
Q 1200 3822 1119 3822 
Q 1003 3822 797 3725 
L 750 3822 
z
" transform="scale(0.015625)"/>
        <path id="TimesNewRomanPSMT-11" d="M 800 606 
Q 947 606 1047 504 
Q 1147 403 1147 259 
Q 1147 116 1045 14 
Q 944 -88 800 -88 
Q 656 -88 554 14 
Q 453 116 453 259 
Q 453 406 554 506 
Q 656 606 800 606 
z
" transform="scale(0.015625)"/>
        <path id="TimesNewRomanPSMT-13" d="M 231 2094 
Q 231 2819 450 3342 
Q 669 3866 1031 4122 
Q 1313 4325 1613 4325 
Q 2100 4325 2488 3828 
Q 2972 3213 2972 2159 
Q 2972 1422 2759 906 
Q 2547 391 2217 158 
Q 1888 -75 1581 -75 
Q 975 -75 572 641 
Q 231 1244 231 2094 
z
M 844 2016 
Q 844 1141 1059 588 
Q 1238 122 1591 122 
Q 1759 122 1940 273 
Q 2122 425 2216 781 
Q 2359 1319 2359 2297 
Q 2359 3022 2209 3506 
Q 2097 3866 1919 4016 
Q 1791 4119 1609 4119 
Q 1397 4119 1231 3928 
Q 1006 3669 925 3112 
Q 844 2556 844 2016 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_2">
      <g>
       <use xlink:href="#m4c48fd120e" x="175.852273" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <!-- 1.5 -->
      <g transform="translate(165.852273 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-18" d="M 2778 4238 
L 2534 3706 
L 1259 3706 
L 981 3138 
Q 1809 3016 2294 2522 
Q 2709 2097 2709 1522 
Q 2709 1188 2573 903 
Q 2438 619 2231 419 
Q 2025 219 1772 97 
Q 1413 -75 1034 -75 
Q 653 -75 479 54 
Q 306 184 306 341 
Q 306 428 378 495 
Q 450 563 559 563 
Q 641 563 702 538 
Q 763 513 909 409 
Q 1144 247 1384 247 
Q 1750 247 2026 523 
Q 2303 800 2303 1197 
Q 2303 1581 2056 1914 
Q 1809 2247 1375 2428 
Q 1034 2569 447 2591 
L 1259 4238 
L 2778 4238 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_3">
     <g id="line2d_3">
      <g>
       <use xlink:href="#m4c48fd120e" x="251.818182" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <!-- 2.0 -->
      <g transform="translate(241.818182 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-15" d="M 2934 816 
L 2638 0 
L 138 0 
L 138 116 
Q 1241 1122 1691 1759 
Q 2141 2397 2141 2925 
Q 2141 3328 1894 3587 
Q 1647 3847 1303 3847 
Q 991 3847 742 3664 
Q 494 3481 375 3128 
L 259 3128 
Q 338 3706 661 4015 
Q 984 4325 1469 4325 
Q 1984 4325 2329 3994 
Q 2675 3663 2675 3213 
Q 2675 2891 2525 2569 
Q 2294 2063 1775 1497 
Q 997 647 803 472 
L 1909 472 
Q 2247 472 2383 497 
Q 2519 522 2628 598 
Q 2738 675 2819 816 
L 2934 816 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_4">
      <g>
       <use xlink:href="#m4c48fd120e" x="327.784091" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_4">
      <!-- 2.5 -->
      <g transform="translate(317.784091 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_5">
     <g id="line2d_5">
      <g>
       <use xlink:href="#m4c48fd120e" x="403.75" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_5">
      <!-- 3.0 -->
      <g transform="translate(393.75 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-16" d="M 325 3431 
Q 506 3859 782 4092 
Q 1059 4325 1472 4325 
Q 1981 4325 2253 3994 
Q 2459 3747 2459 3466 
Q 2459 3003 1878 2509 
Q 2269 2356 2469 2072 
Q 2669 1788 2669 1403 
Q 2669 853 2319 450 
Q 1863 -75 997 -75 
Q 569 -75 414 31 
Q 259 138 259 259 
Q 259 350 332 419 
Q 406 488 509 488 
Q 588 488 669 463 
Q 722 447 909 348 
Q 1097 250 1169 231 
Q 1284 197 1416 197 
Q 1734 197 1970 444 
Q 2206 691 2206 1028 
Q 2206 1275 2097 1509 
Q 2016 1684 1919 1775 
Q 1784 1900 1550 2001 
Q 1316 2103 1072 2103 
L 972 2103 
L 972 2197 
Q 1219 2228 1467 2375 
Q 1716 2522 1828 2728 
Q 1941 2934 1941 3181 
Q 1941 3503 1739 3701 
Q 1538 3900 1238 3900 
Q 753 3900 428 3381 
L 325 3431 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_6">
     <g id="line2d_6">
      <g>
       <use xlink:href="#m4c48fd120e" x="479.715909" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_6">
      <!-- 3.5 -->
      <g transform="translate(469.715909 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_7">
     <g id="line2d_7">
      <g>
       <use xlink:href="#m4c48fd120e" x="555.681818" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_7">
      <!-- 4.0 -->
      <g transform="translate(545.681818 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-17" d="M 2978 1563 
L 2978 1119 
L 2409 1119 
L 2409 0 
L 1894 0 
L 1894 1119 
L 100 1119 
L 100 1519 
L 2066 4325 
L 2409 4325 
L 2409 1563 
L 2978 1563 
z
M 1894 1563 
L 1894 3666 
L 406 1563 
L 1894 1563 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-17"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_8">
     <g id="line2d_8">
      <g>
       <use xlink:href="#m4c48fd120e" x="631.647727" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_8">
      <!-- 4.5 -->
      <g transform="translate(621.647727 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-17"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_9">
     <g id="line2d_9">
      <g>
       <use xlink:href="#m4c48fd120e" x="707.613636" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_9">
      <!-- 5.0 -->
      <g transform="translate(697.613636 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-18"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="text_10">
     <!-- 测量序号 -->
     <g transform="translate(371.75 458.55) scale(0.16 -0.16)">
      <defs>
       <path id="SimSun-237b" d="M 1975 1000 
Q 2000 1475 2000 2925 
Q 2000 4375 1975 5000 
L 2350 4775 
L 3575 4775 
L 3775 4975 
L 4100 4650 
L 3900 4500 
L 3900 2350 
Q 3900 1850 3925 1350 
L 3600 1200 
L 3600 4625 
L 2325 4625 
L 2325 1150 
L 1975 1000 
z
M 2775 3975 
L 3300 3700 
L 3125 3525 
Q 3150 1825 2875 937 
Q 2600 50 1375 -600 
L 1325 -500 
Q 2200 100 2475 725 
Q 2750 1350 2775 2187 
Q 2800 3025 2775 3975 
z
M 3100 950 
Q 3825 450 3937 262 
Q 4050 75 4050 -25 
Q 4050 -150 3975 -262 
Q 3900 -375 3850 -375 
Q 3750 -375 3650 -75 
Q 3500 375 3050 875 
L 3100 950 
z
M 4475 825 
Q 4500 1200 4500 1700 
L 4500 3400 
Q 4500 3950 4475 4300 
L 5025 4025 
L 4825 3825 
L 4825 1700 
Q 4825 1325 4850 950 
L 4475 825 
z
M 5375 150 
L 5375 4050 
Q 5375 4750 5350 5125 
L 5875 4875 
L 5700 4700 
L 5700 75 
Q 5700 -200 5600 -350 
Q 5500 -500 5200 -600 
Q 5025 -225 4450 -50 
L 4450 50 
Q 5125 -50 5250 -37 
Q 5375 -25 5375 150 
z
M 1850 3500 
Q 1375 1525 1300 1225 
Q 1200 900 1212 450 
Q 1225 0 1250 -175 
Q 1250 -275 1125 -275 
Q 1025 -275 875 -225 
Q 725 -175 725 0 
Q 725 125 800 375 
Q 875 625 875 775 
Q 875 950 762 1050 
Q 650 1150 275 1250 
L 275 1350 
Q 725 1300 837 1312 
Q 950 1325 1087 1537 
Q 1225 1750 1750 3525 
L 1850 3500 
z
M 375 3775 
Q 1075 3350 1112 3100 
Q 1150 2850 1050 2775 
Q 950 2700 900 2700 
Q 800 2700 725 2975 
Q 600 3350 325 3700 
L 375 3775 
z
M 800 5100 
Q 1475 4725 1550 4512 
Q 1625 4300 1525 4187 
Q 1425 4075 1350 4075 
Q 1275 4075 1200 4300 
Q 1075 4650 750 5025 
L 800 5100 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-47ff" d="M 1700 2400 
L 1700 1875 
L 3025 1875 
L 3025 2400 
L 1700 2400 
z
M 3350 2400 
L 3350 1875 
L 4625 1875 
L 4625 2400 
L 3350 2400 
z
M 1700 1725 
L 1700 1225 
L 3025 1225 
L 3025 1725 
L 1700 1725 
z
M 3350 1725 
L 3350 1225 
L 4625 1225 
L 4625 1725 
L 3350 1725 
z
M 4950 2325 
Q 4950 1350 4975 1025 
L 4625 875 
L 4625 1075 
L 3350 1075 
L 3350 525 
L 4700 525 
L 5050 825 
L 5450 375 
L 3350 375 
L 3350 -225 
L 5275 -225 
L 5650 125 
L 6075 -375 
L 1175 -375 
Q 850 -375 575 -450 
L 350 -225 
L 3025 -225 
L 3025 375 
L 1725 375 
Q 1400 375 1125 300 
L 900 525 
L 3025 525 
L 3025 1075 
L 1700 1075 
L 1700 925 
L 1350 800 
Q 1375 1300 1375 1787 
Q 1375 2275 1350 2750 
L 1700 2550 
L 4600 2550 
L 4750 2750 
L 5125 2475 
L 4950 2325 
z
M 1775 4800 
L 1775 4375 
L 4550 4375 
L 4550 4800 
L 1775 4800 
z
M 1775 4225 
L 1775 3775 
L 4550 3775 
L 4550 4225 
L 1775 4225 
z
M 4875 4750 
Q 4875 3825 4900 3525 
L 4550 3375 
L 4550 3625 
L 1775 3625 
L 1775 3400 
L 1425 3250 
Q 1450 3650 1450 4262 
Q 1450 4875 1425 5125 
L 1800 4950 
L 4500 4950 
L 4650 5175 
L 5050 4900 
L 4875 4750 
z
M 250 3125 
L 5375 3125 
L 5725 3450 
L 6150 2975 
L 950 2975 
Q 750 2975 475 2900 
L 250 3125 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-14bf" d="M 1000 4575 
L 1375 4350 
L 5050 4350 
L 5425 4725 
L 5950 4200 
L 1375 4200 
Q 1375 3225 1350 2462 
Q 1325 1700 1112 962 
Q 900 225 300 -575 
L 225 -525 
Q 725 350 862 1087 
Q 1000 1825 1012 2687 
Q 1025 3550 1000 4575 
z
M 3000 5225 
Q 3450 5075 3625 4937 
Q 3800 4800 3762 4637 
Q 3725 4475 3612 4400 
Q 3500 4325 3400 4600 
Q 3275 4875 2950 5150 
L 3000 5225 
z
M 2675 0 
Q 3100 -50 3325 -50 
Q 3550 -50 3575 225 
L 3575 2050 
L 2325 2050 
Q 2000 2050 1725 1975 
L 1500 2200 
L 3625 2200 
Q 3625 2400 3400 2637 
Q 3175 2875 2925 3075 
L 2975 3150 
Q 3325 3050 3775 2800 
L 4750 3550 
L 2725 3550 
Q 2400 3550 2125 3475 
L 1900 3700 
L 4775 3700 
L 5050 3950 
L 5475 3425 
Q 5200 3425 4837 3262 
Q 4475 3100 3875 2725 
Q 4000 2575 3975 2450 
Q 3950 2325 3825 2200 
L 5325 2200 
L 5550 2475 
L 6025 2000 
Q 5600 2000 5100 1350 
L 5000 1400 
L 5350 2050 
L 3900 2050 
L 3900 125 
Q 3900 -375 3400 -600 
Q 3325 -275 2675 -125 
L 2675 0 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-a27" d="M 4800 4675 
Q 4800 3550 4825 3225 
L 4450 3075 
L 4450 3325 
L 1950 3325 
L 1950 3100 
L 1575 2975 
Q 1600 3475 1600 4037 
Q 1600 4600 1575 5100 
L 1950 4900 
L 4425 4900 
L 4650 5150 
L 5000 4850 
L 4800 4675 
z
M 1950 4750 
L 1950 3475 
L 4450 3475 
L 4450 4750 
L 1950 4750 
z
M 4950 1375 
Q 4725 75 4550 -125 
Q 4375 -325 4200 -412 
Q 4025 -500 3625 -600 
Q 3575 -225 2850 75 
L 2875 175 
Q 3550 -25 3875 -25 
Q 4000 -25 4187 50 
Q 4375 125 4575 1500 
L 2275 1500 
L 2050 1300 
L 1750 1650 
Q 1925 1750 2037 1975 
Q 2150 2200 2250 2550 
L 825 2550 
L 600 2500 
L 400 2700 
L 5225 2700 
L 5550 3025 
L 6000 2550 
L 2675 2550 
L 2325 1650 
L 4550 1650 
L 4825 1925 
L 5200 1550 
L 4950 1375 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-237b"/>
      <use xlink:href="#SimSun-47ff" transform="translate(100 0)"/>
      <use xlink:href="#SimSun-14bf" transform="translate(200 0)"/>
      <use xlink:href="#SimSun-a27" transform="translate(300 0)"/>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_10">
      <path d="M 69.5 368.629084 
L 738 368.629084 
" clip-path="url(#pd3f2dd08a5)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_11">
      <defs>
       <path id="m1346cd9ee4" d="M 0 0 
L 3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m1346cd9ee4" x="69.5" y="368.629084" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_11">
      <!-- 1.5 -->
      <g transform="translate(46 374.175959) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_2">
     <g id="line2d_12">
      <path d="M 69.5 317.540549 
L 738 317.540549 
" clip-path="url(#pd3f2dd08a5)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_13">
      <g>
       <use xlink:href="#m1346cd9ee4" x="69.5" y="317.540549" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_12">
      <!-- 2.0 -->
      <g transform="translate(46 323.087424) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_14">
      <path d="M 69.5 266.452015 
L 738 266.452015 
" clip-path="url(#pd3f2dd08a5)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_15">
      <g>
       <use xlink:href="#m1346cd9ee4" x="69.5" y="266.452015" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_13">
      <!-- 2.5 -->
      <g transform="translate(46 271.99889) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_16">
      <path d="M 69.5 215.36348 
L 738 215.36348 
" clip-path="url(#pd3f2dd08a5)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_17">
      <g>
       <use xlink:href="#m1346cd9ee4" x="69.5" y="215.36348" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_14">
      <!-- 3.0 -->
      <g transform="translate(46 220.910355) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_18">
      <path d="M 69.5 164.274946 
L 738 164.274946 
" clip-path="url(#pd3f2dd08a5)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_19">
      <g>
       <use xlink:href="#m1346cd9ee4" x="69.5" y="164.274946" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_15">
      <!-- 3.5 -->
      <g transform="translate(46 169.821821) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_6">
     <g id="line2d_20">
      <path d="M 69.5 113.186411 
L 738 113.186411 
" clip-path="url(#pd3f2dd08a5)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_21">
      <g>
       <use xlink:href="#m1346cd9ee4" x="69.5" y="113.186411" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_16">
      <!-- 4.0 -->
      <g transform="translate(46 118.733286) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-17"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_7">
     <g id="line2d_22">
      <path d="M 69.5 62.097877 
L 738 62.097877 
" clip-path="url(#pd3f2dd08a5)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_23">
      <g>
       <use xlink:href="#m1346cd9ee4" x="69.5" y="62.097877" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_17">
      <!-- 4.5 -->
      <g transform="translate(46 67.644752) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-17"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="text_18">
     <!-- 动量相对亏损$\mathrm{\ /\ \%}$ -->
     <g transform="translate(31.75 275.376562) rotate(-90) scale(0.16 -0.16)">
      <defs>
       <path id="SimSun-8d8" d="M 5950 3500 
L 5750 3325 
Q 5725 675 5587 137 
Q 5450 -400 4850 -575 
Q 4825 -300 4075 25 
L 4100 150 
Q 4625 25 4925 25 
Q 5075 25 5162 87 
Q 5250 150 5312 737 
Q 5375 1325 5425 3425 
L 4375 3425 
Q 4350 2475 4162 1725 
Q 3975 975 3487 400 
Q 3000 -175 2200 -625 
L 2125 -550 
Q 2925 0 3312 562 
Q 3700 1125 3862 1825 
Q 4025 2525 4050 3425 
L 3600 3425 
L 3300 3375 
L 3100 3575 
L 4050 3575 
Q 4050 4625 4025 5175 
L 4550 4925 
L 4375 4750 
L 4375 3575 
L 5375 3575 
L 5575 3800 
L 5950 3500 
z
M 475 4325 
L 2275 4325 
L 2575 4625 
L 3025 4175 
L 1200 4175 
Q 925 4175 700 4100 
L 475 4325 
z
M 275 3050 
L 2625 3050 
L 2925 3350 
L 3375 2900 
L 1700 2900 
L 2100 2600 
Q 1850 2500 1450 1875 
Q 1025 1250 675 875 
L 2650 1100 
Q 2400 1600 2125 2025 
L 2200 2075 
Q 3075 1275 3125 987 
Q 3175 700 3062 587 
Q 2950 475 2925 475 
Q 2850 475 2825 600 
Q 2775 775 2700 975 
Q 875 650 600 350 
L 325 850 
Q 600 925 1025 1687 
Q 1450 2450 1550 2900 
L 750 2900 
L 475 2850 
L 275 3050 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-2d28" d="M 3700 1600 
L 3700 200 
L 5300 200 
L 5300 1600 
L 3700 1600 
z
M 3325 -550 
Q 3350 125 3350 2150 
Q 3350 4175 3325 4750 
L 3700 4500 
L 5250 4500 
L 5450 4775 
L 5875 4425 
L 5650 4250 
Q 5650 275 5675 -300 
L 5300 -475 
L 5300 50 
L 3700 50 
L 3700 -400 
L 3325 -550 
z
M 3700 4350 
L 3700 3100 
L 5300 3100 
L 5300 4350 
L 3700 4350 
z
M 3700 2950 
L 3700 1750 
L 5300 1750 
L 5300 2950 
L 3700 2950 
z
M 1650 3550 
Q 1650 4550 1625 5200 
L 2200 4950 
L 1975 4750 
L 1975 3550 
L 2475 3550 
L 2775 3875 
L 3200 3400 
L 1975 3400 
L 1975 2800 
Q 2475 2650 2662 2500 
Q 2850 2350 2850 2175 
Q 2850 2075 2800 1925 
Q 2750 1775 2700 1775 
Q 2650 1775 2525 2025 
Q 2325 2400 1975 2675 
Q 1975 225 2000 -400 
L 1625 -575 
Q 1650 975 1650 2375 
Q 1150 1250 325 375 
L 250 425 
Q 1250 1900 1600 3400 
L 1225 3400 
Q 900 3400 625 3325 
L 400 3550 
L 1650 3550 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-1229" d="M 400 4250 
L 2375 4250 
L 2575 4500 
L 3000 4150 
L 2750 3950 
Q 2400 2850 2075 2100 
Q 2575 1375 2675 1062 
Q 2775 750 2762 537 
Q 2750 325 2662 237 
Q 2575 150 2550 150 
Q 2450 150 2375 575 
Q 2250 1075 1925 1800 
Q 1675 1350 1275 875 
Q 875 400 250 -100 
L 225 25 
Q 675 450 1087 1037 
Q 1500 1625 1725 2100 
Q 1000 3125 675 3550 
L 750 3625 
Q 1300 3025 1850 2400 
Q 2100 3050 2375 4100 
L 1225 4100 
Q 900 4100 625 4025 
L 400 4250 
z
M 3600 125 
Q 4375 0 4537 25 
Q 4700 50 4700 225 
L 4700 3350 
L 3525 3350 
Q 3200 3350 2925 3275 
L 2700 3500 
L 4700 3500 
L 4700 4350 
Q 4700 4800 4675 5125 
L 5275 4825 
L 5050 4625 
L 5050 3500 
L 5325 3500 
L 5650 3825 
L 6125 3350 
L 5050 3350 
L 5050 50 
Q 5050 -375 4500 -600 
Q 4500 -300 3600 0 
L 3600 125 
z
M 3100 2775 
L 3175 2825 
Q 3700 2400 3812 2175 
Q 3925 1950 3925 1800 
Q 3925 1625 3800 1462 
Q 3675 1300 3650 1300 
Q 3550 1300 3525 1650 
Q 3450 2125 3100 2775 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-4bf" d="M 1150 4650 
L 4425 4650 
L 4775 5000 
L 5275 4500 
L 1950 4500 
Q 1650 4500 1375 4425 
L 1150 4650 
z
M 2000 2175 
L 2350 3200 
L 1100 3200 
Q 775 3200 500 3125 
L 275 3350 
L 5150 3350 
L 5550 3750 
L 6100 3200 
L 2750 3200 
L 2350 2100 
L 4500 2100 
L 4750 2375 
L 5175 2000 
L 4925 1850 
Q 4575 450 4312 25 
Q 4050 -400 3450 -525 
Q 3500 -150 2550 200 
L 2575 325 
Q 3275 125 3550 75 
Q 3825 25 4012 350 
Q 4200 675 4550 1950 
L 2350 1950 
L 2150 1700 
L 1800 2025 
L 2000 2175 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-198f" d="M 1450 3725 
Q 1450 4700 1425 5175 
L 2050 4900 
L 1800 4725 
L 1800 3725 
L 2050 3725 
L 2325 4000 
L 2750 3575 
L 1800 3575 
L 1800 2625 
L 2525 3050 
L 2575 2975 
L 1800 2400 
L 1800 50 
Q 1800 -325 1275 -550 
Q 1325 -225 575 -25 
L 575 75 
Q 1050 25 1262 12 
Q 1475 0 1450 375 
L 1450 2150 
Q 725 1650 625 1425 
L 250 1850 
Q 525 1925 1450 2475 
L 1450 3575 
L 750 3575 
L 475 3525 
L 275 3725 
L 1450 3725 
z
M 3050 3275 
Q 3075 3700 3075 4087 
Q 3075 4475 3050 4925 
L 3400 4725 
L 4975 4725 
L 5150 4925 
L 5525 4650 
L 5325 4500 
Q 5325 3850 5350 3475 
L 5000 3325 
L 5000 3550 
L 3400 3550 
L 3400 3400 
L 3050 3275 
z
M 3400 4575 
L 3400 3700 
L 5000 3700 
L 5000 4575 
L 3400 4575 
z
M 5575 2575 
Q 5575 1300 5600 825 
L 5250 700 
L 5250 2650 
L 3150 2650 
L 3150 725 
L 2800 575 
Q 2825 1175 2825 1862 
Q 2825 2550 2800 3000 
L 3150 2800 
L 5200 2800 
L 5375 3050 
L 5800 2750 
L 5575 2575 
z
M 3925 2375 
L 4500 2100 
L 4300 1950 
Q 4200 825 3650 237 
Q 3100 -350 1875 -600 
L 1850 -525 
Q 2700 -250 3175 162 
Q 3650 575 3787 1150 
Q 3925 1725 3925 2375 
z
M 4175 700 
Q 5175 375 5525 200 
Q 5875 25 5875 -187 
Q 5875 -400 5825 -475 
Q 5775 -550 5750 -550 
Q 5675 -550 5525 -375 
Q 5325 -125 4975 125 
Q 4625 375 4150 625 
L 4175 700 
z
" transform="scale(0.015625)"/>
       <path id="TimesNewRomanPSMT-12" d="M 1794 4444 
L 259 -88 
L 9 -88 
L 1544 4444 
L 1794 4444 
z
" transform="scale(0.015625)"/>
       <path id="TimesNewRomanPSMT-8" d="M 4350 4334 
L 1263 -175 
L 984 -175 
L 4072 4334 
L 4350 4334 
z
M 1138 4334 
Q 1559 4334 1792 3984 
Q 2025 3634 2025 3181 
Q 2025 2638 1762 2341 
Q 1500 2044 1131 2044 
Q 884 2044 678 2180 
Q 472 2316 348 2584 
Q 225 2853 225 3181 
Q 225 3509 350 3786 
Q 475 4063 692 4198 
Q 909 4334 1138 4334 
z
M 1128 4159 
Q 969 4159 845 3971 
Q 722 3784 722 3184 
Q 722 2750 791 2522 
Q 844 2350 956 2256 
Q 1022 2200 1119 2200 
Q 1269 2200 1375 2363 
Q 1531 2603 1531 3166 
Q 1531 3759 1378 4000 
Q 1278 4159 1128 4159 
z
M 4206 2103 
Q 4428 2103 4648 1962 
Q 4869 1822 4989 1553 
Q 5109 1284 5109 963 
Q 5109 409 4843 117 
Q 4578 -175 4216 -175 
Q 3988 -175 3773 -34 
Q 3559 106 3436 367 
Q 3313 628 3313 963 
Q 3313 1291 3436 1562 
Q 3559 1834 3773 1968 
Q 3988 2103 4206 2103 
z
M 4209 1938 
Q 4059 1938 3950 1769 
Q 3809 1550 3809 941 
Q 3809 381 3953 159 
Q 4059 0 4209 0 
Q 4353 0 4466 172 
Q 4616 400 4616 956 
Q 4616 1544 4466 1778 
Q 4363 1938 4209 1938 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-8d8" transform="translate(0 0.75)"/>
      <use xlink:href="#SimSun-47ff" transform="translate(100 0.75)"/>
      <use xlink:href="#SimSun-2d28" transform="translate(200 0.75)"/>
      <use xlink:href="#SimSun-1229" transform="translate(300 0.75)"/>
      <use xlink:href="#SimSun-4bf" transform="translate(400 0.75)"/>
      <use xlink:href="#SimSun-198f" transform="translate(500 0.75)"/>
      <use xlink:href="#TimesNewRomanPSMT-12" transform="translate(624.072025 0.75)"/>
      <use xlink:href="#TimesNewRomanPSMT-8" transform="translate(675.927253 0.75)"/>
     </g>
    </g>
   </g>
   <g id="line2d_24">
    <defs>
     <path id="m0b99813ad9" d="M 0 3 
C 0.795609 3 1.55874 2.683901 2.12132 2.12132 
C 2.683901 1.55874 3 0.795609 3 0 
C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 
C 1.55874 -2.683901 0.795609 -3 0 -3 
C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 
C -2.683901 -1.55874 -3 -0.795609 -3 0 
C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 
C -1.55874 2.683901 -0.795609 3 0 3 
z
" style="stroke: #222222"/>
    </defs>
    <g clip-path="url(#pd3f2dd08a5)">
     <use xlink:href="#m0b99813ad9" x="99.886364" y="396.555256" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0b99813ad9" x="251.818182" y="109.896915" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0b99813ad9" x="403.75" y="160.313258" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0b99813ad9" x="555.681818" y="32.597869" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0b99813ad9" x="707.613636" y="278.169356" style="fill: #ffffff; stroke: #222222"/>
    </g>
   </g>
   <g id="patch_3">
    <path d="M 69.5 414.753125 
L 69.5 14.4 
" style="fill: none; stroke: #000000; stroke-width: 1.1; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_4">
    <path d="M 69.5 414.753125 
L 738 414.753125 
" style="fill: none; stroke: #000000; stroke-width: 1.1; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="legend_1">
    <g id="line2d_25">
     <g>
      <use xlink:href="#m0b99813ad9" x="663.9" y="32.163281" style="fill: #ffffff; stroke: #222222"/>
     </g>
    </g>
    <g id="text_19">
     <!-- 观测值 -->
     <g transform="translate(687.3 36.713281) scale(0.13 -0.13)">
      <defs>
       <path id="SimSun-3ff2" d="M 2375 4100 
Q 2175 2925 1925 2175 
Q 2450 1375 2525 1087 
Q 2600 800 2600 725 
Q 2600 550 2525 437 
Q 2450 325 2425 325 
Q 2350 325 2200 800 
Q 2025 1375 1750 1875 
Q 1275 725 300 -200 
L 250 -100 
Q 1125 975 1550 2150 
Q 1300 2600 625 3475 
L 700 3525 
Q 1325 2900 1675 2475 
Q 1850 2975 2025 4200 
L 1200 4200 
Q 875 4200 600 4125 
L 375 4350 
L 2000 4350 
L 2250 4600 
L 2575 4275 
L 2375 4100 
z
M 5475 4500 
Q 5475 2600 5500 1900 
L 5150 1725 
L 5150 4600 
L 3200 4600 
L 3200 1875 
L 2850 1650 
Q 2875 2375 2875 3250 
Q 2875 4125 2850 4950 
L 3225 4750 
L 5100 4750 
L 5350 5000 
L 5700 4650 
L 5475 4500 
z
M 1525 -525 
Q 2250 -275 2775 112 
Q 3300 500 3550 1087 
Q 3800 1675 3850 2625 
Q 3900 3575 3900 4100 
L 4475 3775 
L 4250 3600 
Q 4225 2050 3987 1312 
Q 3750 575 3225 137 
Q 2700 -300 1550 -625 
L 1525 -525 
z
M 4675 -400 
Q 4250 -400 4250 100 
L 4250 1350 
Q 4250 1725 4225 2100 
L 4750 1825 
L 4575 1650 
L 4575 150 
Q 4575 -100 4850 -100 
L 5300 -100 
Q 5525 -100 5575 175 
Q 5625 450 5650 1125 
L 5775 1125 
Q 5775 500 5837 262 
Q 5900 25 6075 -25 
Q 5900 -400 5525 -400 
L 4675 -400 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-66c" d="M 1525 650 
Q 1525 -225 1550 -525 
L 1175 -650 
Q 1200 250 1200 550 
L 1200 3025 
Q 750 2300 325 1850 
L 250 1900 
Q 725 2625 1100 3525 
Q 1475 4425 1675 5200 
L 2200 4875 
L 1950 4725 
Q 1550 3800 1425 3475 
L 1725 3300 
L 1525 3150 
L 1525 650 
z
M 2875 3225 
L 2875 2475 
L 4800 2475 
L 4800 3225 
L 2875 3225 
z
M 2875 2325 
L 2875 1575 
L 4800 1575 
L 4800 2325 
L 2875 2325 
z
M 2875 1425 
L 2875 675 
L 4800 675 
L 4800 1425 
L 2875 1425 
z
M 2875 525 
L 2875 -225 
L 4800 -225 
L 4800 525 
L 2875 525 
z
M 3550 4250 
Q 3575 4825 3550 5225 
L 4125 4950 
L 3925 4800 
L 3900 4250 
L 5025 4250 
L 5350 4575 
L 5825 4100 
L 3900 4100 
L 3875 3375 
L 4750 3375 
L 4975 3625 
L 5350 3300 
L 5125 3150 
L 5125 -225 
L 5350 -225 
L 5675 100 
L 6150 -375 
L 2450 -375 
Q 2125 -375 1850 -450 
L 1625 -225 
L 2550 -225 
L 2550 2550 
Q 2550 2850 2525 3575 
L 2875 3375 
L 3525 3375 
L 3550 4100 
L 2800 4100 
Q 2475 4100 2200 4025 
L 1975 4250 
L 3550 4250 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-3ff2"/>
      <use xlink:href="#SimSun-237b" transform="translate(100 0)"/>
      <use xlink:href="#SimSun-66c" transform="translate(200 0)"/>
     </g>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pd3f2dd08a5">
   <rect x="69.5" y="14.4" width="668.5" height="400.353125"/>
  </clipPath>
 </defs>
</svg>
"
]
},
"velocity_ratio.svg": {
"image/svg+xml": [
"<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="756pt" height="475.2pt" viewBox="0 0 756 475.2" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2026-10-16T00:51:04.106996</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.11.2, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 475.2 
L 756 475.2 
L 756 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 69.5 414.753125 
L 738 414.753125 
L 738 14.4 
L 69.5 14.4 
z
" style="fill: #ffffff"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <defs>
       <path id="m5487c3e9b8" d="M 0 0 
L 0 -3.5 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m5487c3e9b8" x="99.886364" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_1">
      <!-- 1.0 -->
      <g transform="translate(89.886364 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-14" d="M 750 3822 
L 1781 4325 
L 1884 4325 
L 1884 747 
Q 1884 391 1914 303 
Q 1944 216 2037 169 
Q 2131 122 2419 116 
L 2419 0 
L 825 0 
L 825 116 
Q 1125 122 1212 167 
Q 1300 213 1334 289 
Q 1369 366 1369 747 
L 1369 3034 
Q 1369 3497 1338 3628 
Q 1316 3728 1258 3775 
Q 1200 3822 1119 3822 
Q 1003 3822 797 3725 
L 750 3822 
z
" transform="scale(0.015625)"/>
        <path id="TimesNewRomanPSMT-11" d="M 800 606 
Q 947 606 1047 504 
Q 1147 403 1147 259 
Q 1147 116 1045 14 
Q 944 -88 800 -88 
Q 656 -88 554 14 
Q 453 116 453 259 
Q 453 406 554 506 
Q 656 606 800 606 
z
" transform="scale(0.015625)"/>
        <path id="TimesNewRomanPSMT-13" d="M 231 2094 
Q 231 2819 450 3342 
Q 669 3866 1031 4122 
Q 1313 4325 1613 4325 
Q 2100 4325 2488 3828 
Q 2972 3213 2972 2159 
Q 2972 1422 2759 906 
Q 2547 391 2217 158 
Q 1888 -75 1581 -75 
Q 975 -75 572 641 
Q 231 1244 231 2094 
z
M 844 2016 
Q 844 1141 1059 588 
Q 1238 122 1591 122 
Q 1759 122 1940 273 
Q 2122 425 2216 781 
Q 2359 1319 2359 2297 
Q 2359 3022 2209 3506 
Q 2097 3866 1919 4016 
Q 1791 4119 1609 4119 
Q 1397 4119 1231 3928 
Q 1006 3669 925 3112 
Q 844 2556 844 2016 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_2">
      <g>
       <use xlink:href="#m5487c3e9b8" x="175.852273" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <!-- 1.5 -->
      <g transform="translate(165.852273 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-18" d="M 2778 4238 
L 2534 3706 
L 1259 3706 
L 981 3138 
Q 1809 3016 2294 2522 
Q 2709 2097 2709 1522 
Q 2709 1188 2573 903 
Q 2438 619 2231 419 
Q 2025 219 1772 97 
Q 1413 -75 1034 -75 
Q 653 -75 479 54 
Q 306 184 306 341 
Q 306 428 378 495 
Q 450 563 559 563 
Q 641 563 702 538 
Q 763 513 909 409 
Q 1144 247 1384 247 
Q 1750 247 2026 523 
Q 2303 800 2303 1197 
Q 2303 1581 2056 1914 
Q 1809 2247 1375 2428 
Q 1034 2569 447 2591 
L 1259 4238 
L 2778 4238 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_3">
     <g id="line2d_3">
      <g>
       <use xlink:href="#m5487c3e9b8" x="251.818182" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <!-- 2.0 -->
      <g transform="translate(241.818182 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-15" d="M 2934 816 
L 2638 0 
L 138 0 
L 138 116 
Q 1241 1122 1691 1759 
Q 2141 2397 2141 2925 
Q 2141 3328 1894 3587 
Q 1647 3847 1303 3847 
Q 991 3847 742 3664 
Q 494 3481 375 3128 
L 259 3128 
Q 338 3706 661 4015 
Q 984 4325 1469 4325 
Q 1984 4325 2329 3994 
Q 2675 3663 2675 3213 
Q 2675 2891 2525 2569 
Q 2294 2063 1775 1497 
Q 997 647 803 472 
L 1909 472 
Q 2247 472 2383 497 
Q 2519 522 2628 598 
Q 2738 675 2819 816 
L 2934 816 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_4">
      <g>
       <use xlink:href="#m5487c3e9b8" x="327.784091" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_4">
      <!-- 2.5 -->
      <g transform="translate(317.784091 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_5">
     <g id="line2d_5">
      <g>
       <use xlink:href="#m5487c3e9b8" x="403.75" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_5">
      <!-- 3.0 -->
      <g transform="translate(393.75 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-16" d="M 325 3431 
Q 506 3859 782 4092 
Q 1059 4325 1472 4325 
Q 1981 4325 2253 3994 
Q 2459 3747 2459 3466 
Q 2459 3003 1878 2509 
Q 2269 2356 2469 2072 
Q 2669 1788 2669 1403 
Q 2669 853 2319 450 
Q 1863 -75 997 -75 
Q 569 -75 414 31 
Q 259 138 259 259 
Q 259 350 332 419 
Q 406 488 509 488 
Q 588 488 669 463 
Q 722 447 909 348 
Q 1097 250 1169 231 
Q 1284 197 1416 197 
Q 1734 197 1970 444 
Q 2206 691 2206 1028 
Q 2206 1275 2097 1509 
Q 2016 1684 1919 1775 
Q 1784 1900 1550 2001 
Q 1316 2103 1072 2103 
L 972 2103 
L 972 2197 
Q 1219 2228 1467 2375 
Q 1716 2522 1828 2728 
Q 1941 2934 1941 3181 
Q 1941 3503 1739 3701 
Q 1538 3900 1238 3900 
Q 753 3900 428 3381 
L 325 3431 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_6">
     <g id="line2d_6">
      <g>
       <use xlink:href="#m5487c3e9b8" x="479.715909" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_6">
      <!-- 3.5 -->
      <g transform="translate(469.715909 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_7">
     <g id="line2d_7">
      <g>
       <use xlink:href="#m5487c3e9b8" x="555.681818" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_7">
      <!-- 4.0 -->
      <g transform="translate(545.681818 429.346875) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-17" d="M 2978 1563 
L 2978 1119 
L 2409 1119 
L 2409 0 
L 1894 0 
L 1894 1119 
L 100 1119 
L 100 1519 
L 2066 4325 
L 2409 4325 
L 2409 1563 
L 2978 1563 
z
M 1894 1563 
L 1894 3666 
L 406 1563 
L 1894 1563 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-17"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_8">
     <g id="line2d_8">
      <g>
       <use xlink:href="#m5487c3e9b8" x="631.647727" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_8">
      <!-- 4.5 -->
      <g transform="translate(621.647727 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-17"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_9">
     <g id="line2d_9">
      <g>
       <use xlink:href="#m5487c3e9b8" x="707.613636" y="414.753125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_9">
      <!-- 5.0 -->
      <g transform="translate(697.613636 429.346875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-18"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="text_10">
     <!-- 测量序号 -->
     <g transform="translate(371.75 458.55) scale(0.16 -0.16)">
      <defs>
       <path id="SimSun-237b" d="M 1975 1000 
Q 2000 1475 2000 2925 
Q 2000 4375 1975 5000 
L 2350 4775 
L 3575 4775 
L 3775 4975 
L 4100 4650 
L 3900 4500 
L 3900 2350 
Q 3900 1850 3925 1350 
L 3600 1200 
L 3600 4625 
L 2325 4625 
L 2325 1150 
L 1975 1000 
z
M 2775 3975 
L 3300 3700 
L 3125 3525 
Q 3150 1825 2875 937 
Q 2600 50 1375 -600 
L 1325 -500 
Q 2200 100 2475 725 
Q 2750 1350 2775 2187 
Q 2800 3025 2775 3975 
z
M 3100 950 
Q 3825 450 3937 262 
Q 4050 75 4050 -25 
Q 4050 -150 3975 -262 
Q 3900 -375 3850 -375 
Q 3750 -375 3650 -75 
Q 3500 375 3050 875 
L 3100 950 
z
M 4475 825 
Q 4500 1200 4500 1700 
L 4500 3400 
Q 4500 3950 4475 4300 
L 5025 4025 
L 4825 3825 
L 4825 1700 
Q 4825 1325 4850 950 
L 4475 825 
z
M 5375 150 
L 5375 4050 
Q 5375 4750 5350 5125 
L 5875 4875 
L 5700 4700 
L 5700 75 
Q 5700 -200 5600 -350 
Q 5500 -500 5200 -600 
Q 5025 -225 4450 -50 
L 4450 50 
Q 5125 -50 5250 -37 
Q 5375 -25 5375 150 
z
M 1850 3500 
Q 1375 1525 1300 1225 
Q 1200 900 1212 450 
Q 1225 0 1250 -175 
Q 1250 -275 1125 -275 
Q 1025 -275 875 -225 
Q 725 -175 725 0 
Q 725 125 800 375 
Q 875 625 875 775 
Q 875 950 762 1050 
Q 650 1150 275 1250 
L 275 1350 
Q 725 1300 837 1312 
Q 950 1325 1087 1537 
Q 1225 1750 1750 3525 
L 1850 3500 
z
M 375 3775 
Q 1075 3350 1112 3100 
Q 1150 2850 1050 2775 
Q 950 2700 900 2700 
Q 800 2700 725 2975 
Q 600 3350 325 3700 
L 375 3775 
z
M 800 5100 
Q 1475 4725 1550 4512 
Q 1625 4300 1525 4187 
Q 1425 4075 1350 4075 
Q 1275 4075 1200 4300 
Q 1075 4650 750 5025 
L 800 5100 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-47ff" d="M 1700 2400 
L 1700 1875 
L 3025 1875 
L 3025 2400 
L 1700 2400 
z
M 3350 2400 
L 3350 1875 
L 4625 1875 
L 4625 2400 
L 3350 2400 
z
M 1700 1725 
L 1700 1225 
L 3025 1225 
L 3025 1725 
L 1700 1725 
z
M 3350 1725 
L 3350 1225 
L 4625 1225 
L 4625 1725 
L 3350 1725 
z
M 4950 2325 
Q 4950 1350 4975 1025 
L 4625 875 
L 4625 1075 
L 3350 1075 
L 3350 525 
L 4700 525 
L 5050 825 
L 5450 375 
L 3350 375 
L 3350 -225 
L 5275 -225 
L 5650 125 
L 6075 -375 
L 1175 -375 
Q 850 -375 575 -450 
L 350 -225 
L 3025 -225 
L 3025 375 
L 1725 375 
Q 1400 375 1125 300 
L 900 525 
L 3025 525 
L 3025 1075 
L 1700 1075 
L 1700 925 
L 1350 800 
Q 1375 1300 1375 1787 
Q 1375 2275 1350 2750 
L 1700 2550 
L 4600 2550 
L 4750 2750 
L 5125 2475 
L 4950 2325 
z
M 1775 4800 
L 1775 4375 
L 4550 4375 
L 4550 4800 
L 1775 4800 
z
M 1775 4225 
L 1775 3775 
L 4550 3775 
L 4550 4225 
L 1775 4225 
z
M 4875 4750 
Q 4875 3825 4900 3525 
L 4550 3375 
L 4550 3625 
L 1775 3625 
L 1775 3400 
L 1425 3250 
Q 1450 3650 1450 4262 
Q 1450 4875 1425 5125 
L 1800 4950 
L 4500 4950 
L 4650 5175 
L 5050 4900 
L 4875 4750 
z
M 250 3125 
L 5375 3125 
L 5725 3450 
L 6150 2975 
L 950 2975 
Q 750 2975 475 2900 
L 250 3125 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-14bf" d="M 1000 4575 
L 1375 4350 
L 5050 4350 
L 5425 4725 
L 5950 4200 
L 1375 4200 
Q 1375 3225 1350 2462 
Q 1325 1700 1112 962 
Q 900 225 300 -575 
L 225 -525 
Q 725 350 862 1087 
Q 1000 1825 1012 2687 
Q 1025 3550 1000 4575 
z
M 3000 5225 
Q 3450 5075 3625 4937 
Q 3800 4800 3762 4637 
Q 3725 4475 3612 4400 
Q 3500 4325 3400 4600 
Q 3275 4875 2950 5150 
L 3000 5225 
z
M 2675 0 
Q 3100 -50 3325 -50 
Q 3550 -50 3575 225 
L 3575 2050 
L 2325 2050 
Q 2000 2050 1725 1975 
L 1500 2200 
L 3625 2200 
Q 3625 2400 3400 2637 
Q 3175 2875 2925 3075 
L 2975 3150 
Q 3325 3050 3775 2800 
L 4750 3550 
L 2725 3550 
Q 2400 3550 2125 3475 
L 1900 3700 
L 4775 3700 
L 5050 3950 
L 5475 3425 
Q 5200 3425 4837 3262 
Q 4475 3100 3875 2725 
Q 4000 2575 3975 2450 
Q 3950 2325 3825 2200 
L 5325 2200 
L 5550 2475 
L 6025 2000 
Q 5600 2000 5100 1350 
L 5000 1400 
L 5350 2050 
L 3900 2050 
L 3900 125 
Q 3900 -375 3400 -600 
Q 3325 -275 2675 -125 
L 2675 0 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-a27" d="M 4800 4675 
Q 4800 3550 4825 3225 
L 4450 3075 
L 4450 3325 
L 1950 3325 
L 1950 3100 
L 1575 2975 
Q 1600 3475 1600 4037 
Q 1600 4600 1575 5100 
L 1950 4900 
L 4425 4900 
L 4650 5150 
L 5000 4850 
L 4800 4675 
z
M 1950 4750 
L 1950 3475 
L 4450 3475 
L 4450 4750 
L 1950 4750 
z
M 4950 1375 
Q 4725 75 4550 -125 
Q 4375 -325 4200 -412 
Q 4025 -500 3625 -600 
Q 3575 -225 2850 75 
L 2875 175 
Q 3550 -25 3875 -25 
Q 4000 -25 4187 50 
Q 4375 125 4575 1500 
L 2275 1500 
L 2050 1300 
L 1750 1650 
Q 1925 1750 2037 1975 
Q 2150 2200 2250 2550 
L 825 2550 
L 600 2500 
L 400 2700 
L 5225 2700 
L 5550 3025 
L 6000 2550 
L 2675 2550 
L 2325 1650 
L 4550 1650 
L 4825 1925 
L 5200 1550 
L 4950 1375 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-237b"/>
      <use xlink:href="#SimSun-47ff" transform="translate(100 0)"/>
      <use xlink:href="#SimSun-14bf" transform="translate(200 0)"/>
      <use xlink:href="#SimSun-a27" transform="translate(300 0)"/>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_10">
      <path d="M 69.5 340.219953 
L 738 340.219953 
" clip-path="url(#pebf893e76c)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_11">
      <defs>
       <path id="m94c57865bc" d="M 0 0 
L 3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m94c57865bc" x="69.5" y="340.219953" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_11">
      <!-- 3.1 -->
      <g transform="translate(46 345.766828) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-14" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_2">
     <g id="line2d_12">
      <path d="M 69.5 255.993282 
L 738 255.993282 
" clip-path="url(#pebf893e76c)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_13">
      <g>
       <use xlink:href="#m94c57865bc" x="69.5" y="255.993282" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_12">
      <!-- 3.2 -->
      <g transform="translate(46 261.540157) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_14">
      <path d="M 69.5 171.766612 
L 738 171.766612 
" clip-path="url(#pebf893e76c)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_15">
      <g>
       <use xlink:href="#m94c57865bc" x="69.5" y="171.766612" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_13">
      <!-- 3.3 -->
      <g transform="translate(46 177.313487) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-16" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_16">
      <path d="M 69.5 87.539941 
L 738 87.539941 
" clip-path="url(#pebf893e76c)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_17">
      <g>
       <use xlink:href="#m94c57865bc" x="69.5" y="87.539941" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_14">
      <!-- 3.4 -->
      <g transform="translate(46 93.086816) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-16"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-17" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="text_15">
     <!-- 碰后速度比 -->
     <g transform="translate(31.75 254.576562) rotate(-90) scale(0.16 -0.16)">
      <defs>
       <path id="SimSun-2ee0" d="M 2475 3800 
L 4525 3800 
Q 4900 4550 5050 5175 
L 5550 4800 
Q 5150 4650 4675 3800 
L 5300 3800 
L 5625 4125 
L 6025 3650 
L 4825 3650 
L 4825 950 
Q 5400 2100 5575 2850 
L 6075 2450 
Q 5850 2425 5500 1800 
Q 5125 1175 4825 750 
L 4825 -125 
L 5400 -125 
L 5725 200 
L 6175 -275 
L 3050 -275 
Q 2725 -275 2450 -350 
L 2225 -125 
L 3550 -125 
L 3550 3650 
L 3300 3650 
Q 2975 3650 2700 3575 
L 2475 3800 
z
M 3875 3650 
L 3875 -125 
L 4500 -125 
L 4500 3650 
L 3875 3650 
z
M 3175 5175 
Q 3750 4725 3862 4550 
Q 3975 4375 3975 4300 
Q 3975 4175 3875 4025 
Q 3775 3875 3725 3875 
Q 3650 3875 3575 4150 
Q 3475 4550 3100 5125 
L 3175 5175 
z
M 2700 2875 
Q 3200 2000 3275 1712 
Q 3350 1425 3350 1275 
Q 3350 1025 3237 887 
Q 3125 750 3100 750 
Q 3000 750 2975 1225 
Q 2925 1850 2625 2825 
L 2700 2875 
z
M 1300 2625 
L 1300 700 
L 2025 700 
L 2025 2625 
L 1300 2625 
z
M 950 -275 
Q 975 675 975 2250 
Q 650 1700 250 1300 
L 200 1375 
Q 1000 2525 1375 4325 
L 1150 4325 
Q 825 4325 550 4250 
L 325 4475 
L 2150 4475 
L 2450 4750 
L 2875 4325 
L 1750 4325 
Q 1500 3425 1250 2775 
L 2000 2775 
L 2175 3025 
L 2550 2725 
L 2350 2550 
Q 2350 800 2375 325 
L 2025 175 
L 2025 550 
L 1300 550 
L 1300 -100 
L 950 -275 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-a3e" d="M 300 -550 
Q 925 225 1112 925 
Q 1300 1625 1312 2612 
Q 1325 3600 1300 4650 
L 1700 4400 
Q 3125 4525 4050 4725 
Q 4975 4925 5275 5100 
L 5625 4625 
Q 5300 4650 4150 4500 
Q 2975 4325 1675 4250 
L 1675 3225 
L 5150 3225 
L 5475 3550 
L 5925 3075 
L 1675 3075 
Q 1700 1575 1375 787 
Q 1050 0 375 -625 
L 300 -550 
z
M 5225 1775 
L 5225 500 
Q 5225 125 5250 -175 
L 4875 -325 
L 4875 125 
L 2625 125 
L 2625 -275 
L 2225 -450 
Q 2275 125 2275 912 
Q 2275 1700 2250 2250 
L 2675 2025 
L 4825 2025 
L 5075 2275 
L 5425 1925 
L 5225 1775 
z
M 2625 1875 
L 2625 275 
L 4875 275 
L 4875 1875 
L 2625 1875 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-464f" d="M 2800 3275 
L 2800 2400 
L 3700 2400 
L 3700 3275 
L 2800 3275 
z
M 4025 3275 
L 4025 2400 
L 4950 2400 
L 4950 3275 
L 4025 3275 
z
M 4025 1675 
Q 4025 800 4050 175 
L 3650 25 
Q 3700 775 3700 1875 
Q 2950 950 2000 450 
L 1950 525 
Q 3075 1375 3550 2250 
L 2800 2250 
L 2800 2025 
L 2475 1900 
L 2475 3600 
L 2800 3425 
L 3700 3425 
L 3700 4125 
L 2700 4125 
Q 2375 4125 2100 4050 
L 1875 4275 
L 3700 4275 
Q 3700 4650 3675 5175 
L 4250 4950 
L 4025 4775 
L 4025 4275 
L 5150 4275 
L 5475 4550 
L 5900 4125 
L 4025 4125 
L 4025 3425 
L 4900 3425 
L 5075 3675 
L 5500 3400 
L 5275 3225 
Q 5275 2575 5300 2100 
L 4950 1975 
L 4950 2250 
L 4025 2250 
L 4025 1800 
Q 4850 1550 5225 1350 
Q 5600 1150 5612 925 
Q 5625 700 5537 600 
Q 5450 500 5150 875 
Q 4850 1250 4025 1675 
z
M 675 4775 
L 750 4825 
Q 1125 4625 1350 4437 
Q 1575 4250 1562 4100 
Q 1550 3950 1450 3837 
Q 1350 3725 1300 3725 
Q 1200 3725 1125 4000 
Q 1000 4375 675 4775 
z
M 1600 675 
Q 1875 400 2287 150 
Q 2700 -100 3762 -112 
Q 4825 -125 6150 25 
L 6150 -75 
Q 5675 -225 5650 -475 
Q 4500 -500 3762 -475 
Q 3025 -450 2550 -250 
Q 2075 -50 1825 250 
Q 1550 525 1425 525 
Q 1300 525 1025 237 
Q 750 -50 625 -275 
L 275 50 
Q 675 400 1275 700 
L 1275 2675 
L 1050 2675 
Q 725 2675 450 2600 
L 225 2825 
L 1225 2825 
L 1400 3075 
L 1825 2775 
L 1600 2600 
L 1600 675 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-14d6" d="M 2550 2025 
Q 2575 2525 2575 3175 
L 1925 3175 
L 1625 3125 
L 1425 3325 
L 2575 3325 
Q 2575 3700 2550 4150 
L 3100 3875 
L 2900 3750 
L 2900 3325 
L 4300 3325 
Q 4300 3750 4275 4125 
L 4850 3875 
L 4625 3725 
L 4625 3325 
L 5100 3325 
L 5425 3650 
L 5900 3175 
L 4625 3175 
Q 4625 2450 4650 2225 
L 4300 2075 
L 4300 2300 
L 2900 2300 
L 2900 2175 
L 2550 2025 
z
M 4875 1500 
Q 4300 775 3900 425 
Q 4700 -75 6025 -125 
L 6025 -225 
Q 5625 -300 5550 -550 
Q 4375 -325 3675 225 
Q 2475 -450 1075 -625 
L 1050 -525 
Q 2375 -275 3450 450 
Q 2975 925 2575 1625 
L 2325 1625 
L 2100 1575 
L 1900 1775 
L 4525 1775 
L 4750 2000 
L 5125 1625 
L 4875 1500 
z
M 2700 1625 
Q 3175 975 3650 625 
Q 4150 1100 4500 1625 
L 2700 1625 
z
M 2900 3175 
L 2900 2450 
L 4300 2450 
L 4300 3175 
L 2900 3175 
z
M 975 4650 
L 1400 4400 
L 3375 4400 
Q 3350 4550 3262 4725 
Q 3175 4900 2900 5225 
L 2975 5275 
Q 3550 5025 3637 4887 
Q 3725 4750 3725 4725 
Q 3725 4575 3525 4400 
L 5150 4400 
L 5500 4750 
L 6000 4250 
L 1375 4250 
Q 1400 2750 1287 1912 
Q 1175 1075 925 475 
Q 675 -125 300 -625 
L 225 -575 
Q 725 300 862 1250 
Q 1000 2200 1012 3187 
Q 1025 4175 975 4650 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-2204" d="M 1050 3400 
Q 1050 4525 1025 5075 
L 1625 4800 
L 1400 4600 
L 1400 2925 
L 2400 2925 
L 2700 3225 
L 3150 2775 
L 1400 2775 
L 1400 350 
L 3050 925 
L 3100 825 
Q 1625 150 1250 -250 
L 950 175 
Q 1050 275 1050 525 
L 1050 3400 
z
M 3425 3825 
Q 3425 4575 3400 5125 
L 4025 4825 
L 3775 4625 
L 3775 2525 
Q 4300 2925 4712 3400 
Q 5125 3875 5275 4175 
L 5775 3700 
Q 5475 3650 5025 3250 
Q 4550 2850 3775 2375 
L 3775 425 
Q 3775 125 4100 125 
L 5125 125 
Q 5325 125 5400 350 
Q 5475 575 5500 1425 
L 5625 1425 
Q 5625 825 5712 550 
Q 5800 275 6000 175 
Q 5875 -25 5712 -112 
Q 5550 -200 5275 -200 
L 3975 -200 
Q 3425 -200 3425 275 
L 3425 3825 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-2ee0"/>
      <use xlink:href="#SimSun-a3e" transform="translate(100 0)"/>
      <use xlink:href="#SimSun-464f" transform="translate(200 0)"/>
      <use xlink:href="#SimSun-14d6" transform="translate(300 0)"/>
      <use xlink:href="#SimSun-2204" transform="translate(400 0)"/>
     </g>
    </g>
   </g>
   <g id="line2d_18">
    <defs>
     <path id="m6bd91e28ea" d="M 0 3 
C 0.795609 3 1.55874 2.683901 2.12132 2.12132 
C 2.683901 1.55874 3 0.795609 3 0 
C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 
C 1.55874 -2.683901 0.795609 -3 0 -3 
C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 
C -2.683901 -1.55874 -3 -0.795609 -3 0 
C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 
C -1.55874 2.683901 -0.795609 3 0 3 
z
" style="stroke: #222222"/>
    </defs>
    <g clip-path="url(#pebf893e76c)">
     <use xlink:href="#m6bd91e28ea" x="99.886364" y="32.597869" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m6bd91e28ea" x="251.818182" y="227.550301" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m6bd91e28ea" x="403.75" y="396.555256" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m6bd91e28ea" x="555.681818" y="34.652272" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m6bd91e28ea" x="707.613636" y="34.158613" style="fill: #ffffff; stroke: #222222"/>
    </g>
   </g>
   <g id="patch_3">
    <path d="M 69.5 414.753125 
L 69.5 14.4 
" style="fill: none; stroke: #000000; stroke-width: 1.1; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_4">
    <path d="M 69.5 414.753125 
L 738 414.753125 
" style="fill: none; stroke: #000000; stroke-width: 1.1; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="legend_1">
    <g id="line2d_19">
     <g>
      <use xlink:href="#m6bd91e28ea" x="94.2" y="395.697461" style="fill: #ffffff; stroke: #222222"/>
     </g>
    </g>
    <g id="text_16">
     <!-- 观测值 -->
     <g transform="translate(117.6 400.247461) scale(0.13 -0.13)">
      <defs>
       <path id="SimSun-3ff2" d="M 2375 4100 
Q 2175 2925 1925 2175 
Q 2450 1375 2525 1087 
Q 2600 800 2600 725 
Q 2600 550 2525 437 
Q 2450 325 2425 325 
Q 2350 325 2200 800 
Q 2025 1375 1750 1875 
Q 1275 725 300 -200 
L 250 -100 
Q 1125 975 1550 2150 
Q 1300 2600 625 3475 
L 700 3525 
Q 1325 2900 1675 2475 
Q 1850 2975 2025 4200 
L 1200 4200 
Q 875 4200 600 4125 
L 375 4350 
L 2000 4350 
L 2250 4600 
L 2575 4275 
L 2375 4100 
z
M 5475 4500 
Q 5475 2600 5500 1900 
L 5150 1725 
L 5150 4600 
L 3200 4600 
L 3200 1875 
L 2850 1650 
Q 2875 2375 2875 3250 
Q 2875 4125 2850 4950 
L 3225 4750 
L 5100 4750 
L 5350 5000 
L 5700 4650 
L 5475 4500 
z
M 1525 -525 
Q 2250 -275 2775 112 
Q 3300 500 3550 1087 
Q 3800 1675 3850 2625 
Q 3900 3575 3900 4100 
L 4475 3775 
L 4250 3600 
Q 4225 2050 3987 1312 
Q 3750 575 3225 137 
Q 2700 -300 1550 -625 
L 1525 -525 
z
M 4675 -400 
Q 4250 -400 4250 100 
L 4250 1350 
Q 4250 1725 4225 2100 
L 4750 1825 
L 4575 1650 
L 4575 150 
Q 4575 -100 4850 -100 
L 5300 -100 
Q 5525 -100 5575 175 
Q 5625 450 5650 1125 
L 5775 1125 
Q 5775 500 5837 262 
Q 5900 25 6075 -25 
Q 5900 -400 5525 -400 
L 4675 -400 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-66c" d="M 1525 650 
Q 1525 -225 1550 -525 
L 1175 -650 
Q 1200 250 1200 550 
L 1200 3025 
Q 750 2300 325 1850 
L 250 1900 
Q 725 2625 1100 3525 
Q 1475 4425 1675 5200 
L 2200 4875 
L 1950 4725 
Q 1550 3800 1425 3475 
L 1725 3300 
L 1525 3150 
L 1525 650 
z
M 2875 3225 
L 2875 2475 
L 4800 2475 
L 4800 3225 
L 2875 3225 
z
M 2875 2325 
L 2875 1575 
L 4800 1575 
L 4800 2325 
L 2875 2325 
z
M 2875 1425 
L 2875 675 
L 4800 675 
L 4800 1425 
L 2875 1425 
z
M 2875 525 
L 2875 -225 
L 4800 -225 
L 4800 525 
L 2875 525 
z
M 3550 4250 
Q 3575 4825 3550 5225 
L 4125 4950 
L 3925 4800 
L 3900 4250 
L 5025 4250 
L 5350 4575 
L 5825 4100 
L 3900 4100 
L 3875 3375 
L 4750 3375 
L 4975 3625 
L 5350 3300 
L 5125 3150 
L 5125 -225 
L 5350 -225 
L 5675 100 
L 6150 -375 
L 2450 -375 
Q 2125 -375 1850 -450 
L 1625 -225 
L 2550 -225 
L 2550 2550 
Q 2550 2850 2525 3575 
L 2875 3375 
L 3525 3375 
L 3550 4100 
L 2800 4100 
Q 2475 4100 2200 4025 
L 1975 4250 
L 3550 4250 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-3ff2"/>
      <use xlink:href="#SimSun-237b" transform="translate(100 0)"/>
      <use xlink:href="#SimSun-66c" transform="translate(200 0)"/>
     </g>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pebf893e76c">
   <rect x="69.5" y="14.4" width="668.5" height="400.353125"/>
  </clipPath>
 </defs>
</svg>
"
]
}
},
"cell_type": "markdown",
"id": "collisions-008",
"metadata": {},
"source": [
"## 七、数据处理\n",
"\n",
"### 1. 完全非弹性碰撞\n",
"\n",
"系统总质量为 0.49624 $\\mathrm{kg}$。将速度转换为 $\\mathrm{m\\,s^{-1}}$，计算\n",
"\n",
"$$\n",
"p_{\\mathrm{in}}=m_1v_{10},\\qquad\n",
"p_{\\mathrm{out}}=(m_1+m_2)v_{\\mathrm{c}},\\qquad\n",
"\\eta=\\frac{p_{\\mathrm{in}}-p_{\\mathrm{out}}}{p_{\\mathrm{in}}}\\times100\\%.\n",
"$$\n",
"\n",
"$$\n",
"E_{\\mathrm{in}}=\\frac12m_1v_{10}^2,\\qquad\n",
"E_{\\mathrm{out}}=\\frac12(m_1+m_2)v_{\\mathrm{c}}^2.\n",
"$$\n",
"\n",
"\n",
"\n",
"表 3 非弹性碰撞的动量与动能计算\n",
"\n",
"\n",
"\n",
"| 序号 | 碰前动量 / (kg m s⁻¹) | 碰后动量 / (kg m s⁻¹) | 动量相对亏损 / % | 碰前动能 / J | 碰后动能 / J | 动能损失 / % |\n",
"| --- | --- | --- | --- | --- | --- | --- |\n",
"| 1 | 0.24271085 | 0.23973354 | 1.2266885 | 0.086186623 | 0.057907638 | 32.811339 |\n",
"| 2 | 0.30870277 | 0.29625528 | 4.0321941 | 0.13942561 | 0.088432201 | 36.573918 |\n",
"| 3 | 0.29462268 | 0.28419665 | 3.5387728 | 0.1269971 | 0.08137971 | 35.920027 |\n",
"| 4 | 0.34175 | 0.32538457 | 4.7887146 | 0.170875 | 0.10667733 | 37.56996 |\n",
"| 5 | 0.31615293 | 0.30861166 | 2.3853232 | 0.14623654 | 0.095962794 | 34.378373 |\n",
"\n",
"五组动量相对亏损平均为 3.194338609 $\\%$，最大为 4.788714557 $\\%$；动能平均损失率为 35.45072333 $\\%$。理想粘合模型的动能损失率为 31.13211349 $\\%$。\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"图 1 五组非弹性碰撞的动量相对亏损\n",
"\n",
"\n",
"\n",
"### 2. 弹性碰撞的速度比\n",
"\n",
"取滑块1两次读数的平均，计算 $K_{\\mathrm{exp}}=v_2/\\bar v_1$，理论比值为 3.65000534。相对差异保留正负号：\n",
"\n",
"$$\n",
"\\delta=\\frac{K_{\\mathrm{exp}}-K_{\\mathrm{th}}}{K_{\\mathrm{th}}}\\times100\\%.\n",
"$$\n",
"\n",
"\n",
"\n",
"表 4 碰后速度比与条件恢复系数\n",
"\n",
"\n",
"\n",
"| 序号 | 滑块1均速 / (cm s⁻¹) | 滑块2速度 / (cm s⁻¹) | 测得速度比 | 相对理论比值差异 / % | 条件恢复系数 |\n",
"| --- | --- | --- | --- | --- | --- |\n",
"| 1 | 28.33 | 98.17 | 3.4652312 | -5.0622977 | 0.96055061 |\n",
"| 2 | 19.485 | 63.01 | 3.2337696 | -11.403703 | 0.9073564 |\n",
"| 3 | 32.01 | 97.09 | 3.0331147 | -16.90109 | 0.85744313 |\n",
"| 4 | 25.465 | 88.18 | 3.4627921 | -5.1291233 | 0.96001268 |\n",
"| 5 | 26.76 | 92.68 | 3.4633782 | -5.1130655 | 0.96014198 |\n",
"\n",
"平均实测速度比为 3.331657133，平均绝对相对差异为 8.721855926 $\\%$。\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"图 2 各组碰后速度比\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"表4的恢复系数由额外假定动量守恒反推：\n",
"\n",
"\n",
"\n",
"$$\n",
"v_{10}^{*}=\\frac{m_1\\bar v_1+m_2v_2}{m_1},\\qquad\n",
"e^{*}=\\frac{v_2-\\bar v_1}{v_{10}^{*}}.\n",
"$$\n",
"\n",
"它是模型条件量，不能再用来独立证明动量守恒。直接测定 $e$ 仍需补充碰前速度。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-009",
"metadata": {},
"source": [
"#### 动量和动能结果\n",
"\n",
"使用SI 单位计算碰前后动量和动能，分别检验两种守恒条件，不以内部耗散解释动量亏损。"
]
},
{
"cell_type": "markdown",
"id": "collisions-010",
"metadata": {},
"source": [
"表 5 动量与动能的程序核算"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "collisions-011",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T16:51:06.331710Z",
"iopub.status.busy": "2026-10-15T16:51:06.331381Z",
"iopub.status.idle": "2026-10-15T16:51:06.335208Z",
"shell.execute_reply": "2026-10-15T16:51:06.334776Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/markdown": [
"| 序号 | 碰前动量 / (kg m s⁻¹) | 碰后动量 / (kg m s⁻¹) | 动量相对亏损 / % | 碰前动能 / J | 碰后动能 / J | 动能损失 / % |\n",
"| --- | --- | --- | --- | --- | --- | --- |\n",
"| 1 | 0.24271085 | 0.23973354 | 1.2266885 | 0.086186623 | 0.057907638 | 32.811339 |\n",
"| 2 | 0.30870277 | 0.29625528 | 4.0321941 | 0.13942561 | 0.088432201 | 36.573918 |\n",
"| 3 | 0.29462268 | 0.28419665 | 3.5387728 | 0.1269971 | 0.08137971 | 35.920027 |\n",
"| 4 | 0.34175 | 0.32538457 | 4.7887146 | 0.170875 | 0.10667733 | 37.56996 |\n",
"| 5 | 0.31615293 | 0.30861166 | 2.3853232 | 0.14623654 | 0.095962794 | 34.378373 |"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import physicslab.common.manuscripts as _presentation\n",
"_presentation._table_captioned=True\n",
"table_display(result[\"tables\"][\"momentum\"])"
]
},
{
"cell_type": "markdown",
"id": "collisions-012",
"metadata": {},
"source": [
"## 八、实验结果与讨论\n",
"\n",
"完全非弹性组碰后动量均略低于碰前，平均差异 3.194338609 $\\%$，动能有明显耗散。数据在量级上接近动量守恒预期，但缺少仪器不确定度和外力冲量评估，不能以任意5$\\%$阈值宣布已在实验误差内验证。\n",
"\n",
"弹性附件组的速度比低于理想 $e=1$ 的值，各组差异不等，不能统一概括为5$\\%$以内。对一般恢复系数模型，\n",
"\n",
"$$\n",
"v_1=\\frac{m_1-em_2}{m_1+m_2}v_{10},\\qquad\n",
"v_2=\\frac{(1+e)m_1}{m_1+m_2}v_{10}.\n",
"$$\n",
"\n",
"在本次质量比下，$e$ 减小会使速度比降低，与部分动能耗散的方向一致；测速偏置及两次速度读数不同时刻也可能影响比值，不能据此唯一确定恢复系数。\n",
"\n",
"导轨残余摩擦、调平偏差和碰撞附近的外力作用可导致测速前后动量差异；弹簧及粘合附件的形变与内耗改变动能分配。改进应补测弹性组碰前速度、明确速度方向和时刻，检查光电门距离与测速片，并补充质量和计时器误差指标。\n"
]
},
{
"cell_type": "markdown",
"id": "collisions-013",
"metadata": {},
"source": [
"#### 一般恢复系数模型\n",
"\n",
"质量固定341.75 $\\mathrm{g}$和154.49 $\\mathrm{g}$，入射速度选用第一非弹性组71.02 $\\mathrm{cm\\,s^{-1}}$，目标初始静止。扫描 $e$ 从0到1，步长0.01，默认1；这是统一碰撞模型，不将其当作弹性组缺失的实测初速度。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "collisions-014",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-15T16:51:06.336573Z",
"iopub.status.busy": "2026-10-15T16:51:06.336385Z",
"iopub.status.idle": "2026-10-15T16:51:06.671373Z",
"shell.execute_reply": "2026-10-15T16:51:06.670560Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import physicslab.common.manuscripts as _presentation\n",
"_presentation._table_captioned=False\n",
"display_plotly(adapter.explore(\"restitution\",result))"
]
},
{
"cell_type": "markdown",
"id": "collisions-015",
"metadata": {},
"source": [
"图 3 恢复系数改变时两滑块的碰后速度"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.14.7"
},
"physicslab": {
"chinese_font": "SimSun",
"experiment_id": "course-01/collisions",
"latin_font": "Times New Roman"
}
},
"nbformat": 4,
"nbformat_minor": 5
}