{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "newton-second-law-000",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-16T00:39:27.943903Z",
"iopub.status.busy": "2026-10-16T00:39:27.943705Z",
"iopub.status.idle": "2026-10-16T00:39:28.688095Z",
"shell.execute_reply": "2026-10-16T00:39:28.687253Z"
},
"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 newton_second_law as adapter\n",
"EXP=ROOT/'experiments/course-01/newton-second-law'\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": "newton-second-law-001",
"metadata": {},
"source": [
"# 牛顿第二运动定律验证实验报告\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": "newton-second-law-002",
"metadata": {},
"source": [
"## 一、实验名称\n",
"\n",
"牛顿第二运动定律的验证。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-003",
"metadata": {},
"source": [
"## 二、实验目的\n",
"\n",
"1. 学习在气垫导轨上利用光电计时系统测量物体速度与加速度。\n",
"2. 在保持系统总质量不变的条件下，研究外力与加速度的关系。\n",
"3. 掌握最小二乘法处理数据和实验误差分析的方法。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-004",
"metadata": {},
"source": [
"## 三、实验原理\n",
"\n",
"质量恒定时，牛顿第二定律为 $F=Ma$。将滑块及配重和悬挂砝码视为运动系统，忽略轻绳质量、滑轮转动惯量和摩擦，驱动力近似为悬挂砝码重力：\n",
"\n",
"$$\n",
"F=m_0g,\\qquad M=M_{\\mathrm{glider}}+m_0.\n",
"$$\n",
"\n",
"改变悬挂质量时，将砝码从滑块转移到挂钩，使系统总质量保持不变。若存在近似恒定的等效反向力 $f$，则\n",
"\n",
"$$\n",
"m_0g-f=Ma,\\qquad m_0=Ka+C,\\qquad K=\\frac{M}{g},\\quad C=\\frac{f}{g}.\n",
"$$\n",
"\n",
"这里的等效力还可能包含导轨倾斜、滑轮和测量偏置的影响，不能仅由截距判断其具体来源。\n",
"\n",
"光电门之间距离为 $S$，对应速度为 $v_1$、$v_2$；在两门之间近似匀加速时，\n",
"\n",
"$$\n",
"a=\\frac{v_2^2-v_1^2}{2S}.\n",
"$$\n",
"\n",
"速度由挡光片宽度与遮光时间之比估计，代表光电门附近的平均速度。使用上述公式还要求挡光片足够窄、运动加速度近似稳定。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-005",
"metadata": {},
"source": [
"## 四、主要仪器设备\n",
"\n",
"气垫导轨、气源、滑块、两个光电门、数字毫秒计、游标卡尺、天平和五个 $5\\,\\mathrm{g}$ 砝码。光电门间距为 $S=50.00\\,\\mathrm{cm}=0.500\\,\\mathrm{m}$，重力加速度采用 $g=9.80\\,\\mathrm{m\\,s^{-2}}$。\n",
"\n",
"现有记录未给出独立系统称量质量、挡光片宽度以及各仪器误差限；后续不确定度只评估重复性和回归残差。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-006",
"metadata": {},
"source": [
"## 五、实验步骤\n",
"\n",
"1. 开启气源，调节气垫导轨水平，检查滑块在无牵引状态下的运动。\n",
"2. 固定两光电门并测量间距，称量滑块和准备好的配重。\n",
"3. 将未悬挂的砝码放在滑块上。逐次将一个 $5\\,\\mathrm{g}$ 砝码从滑块移到挂钩，使悬挂质量依次为 $5$、$10$、$15$、$20$、$25\\,\\mathrm{g}$，同时保持总质量不变。\n",
"4. 每组释放滑块并记录加速度或两个光电门的速度，重复五次，避免手推和滑块碰撞。\n",
"5. 保留各次读数，分别计算各组加速度均值与 A 类标准不确定度，拟合悬挂质量与加速度关系并检查残差。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-007",
"metadata": {},
"source": [
"## 六、原始数据记录\n",
"\n",
"\n",
"\n",
"表 1 悬挂质量与光电测量记录\n",
"\n",
"\n",
"\n",
"| 组别 | $m_0 / \\mathrm{g}$ | 次数 | 数据1（速度或加速度） | 数据2速度 / (cm s⁻¹) | 记录加速度 / (cm s⁻²) |\n",
"| --- | --- | --- | --- | --- | --- |\n",
"| 1 | 5 | 1 | 20.06 | — | 20.06 |\n",
"| 1 | 5 | 2 | 20.21 | — | 20.21 |\n",
"| 1 | 5 | 3 | 19.92 | — | 19.92 |\n",
"| 1 | 5 | 4 | 20.13 | — | 20.13 |\n",
"| 1 | 5 | 5 | 20.22 | — | 20.22 |\n",
"| 2 | 10 | 1 | 29.02 | 79.81 | 55.28 |\n",
"| 2 | 10 | 2 | 28.69 | 79.49 | 54.95 |\n",
"| 2 | 10 | 3 | 28.99 | 79.43 | 54.68 |\n",
"| 2 | 10 | 4 | 29.05 | 79.81 | 55.26 |\n",
"| 2 | 10 | 5 | 28.34 | 79.62 | 55.35 |\n",
"| 3 | 15 | 1 | 35.7 | 98.14 | 83.56 |\n",
"| 3 | 15 | 2 | 35.21 | 97.85 | 83.33 |\n",
"| 3 | 15 | 3 | 35.42 | 97.66 | 82.82 |\n",
"| 3 | 15 | 4 | 35.56 | 97.85 | 83.08 |\n",
"| 3 | 15 | 5 | 35.55 | 97.85 | 83.09 |\n",
"| 4 | 20 | 1 | 41.12 | 113.51 | 111.91 |\n",
"| 4 | 20 | 2 | 40.92 | 112.87 | 110.66 |\n",
"| 4 | 20 | 3 | 41.54 | 113.9 | 112.44 |\n",
"| 4 | 20 | 4 | 41.42 | 114.02 | 112.84 |\n",
"| 4 | 20 | 5 | 40.62 | 113.64 | 112.65 |\n",
"| 5 | 25 | 1 | 46.27 | 127.88 | 142.1 |\n",
"| 5 | 25 | 2 | 46.06 | 126.58 | 139 |\n",
"| 5 | 25 | 3 | 46.08 | 126.58 | 138.99 |\n",
"| 5 | 25 | 4 | 46.02 | 127.88 | 142.33 |\n",
"| 5 | 25 | 5 | 46.1 | 127.88 | 142.27 |\n",
"\n",
"第一组的记录为仪器直接给出的加速度，速度未记录，表中用“—”标示。第二至第五组记录两个速度和加速度计算列。两种记录方式分别保留，未将第一组的直接加速度误作速度。\n",
"\n"
]
},
{
"attachments": {
"force_acceleration.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="612pt" viewBox="0 0 756 612" 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>2026-10-16T08:39:25.870625</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 0 612 
L 756 612 
L 756 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 87.7925 320.910833 
L 738 320.910833 
L 738 14.4 
L 87.7925 14.4 
z
" style="fill: #ffffff"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <defs>
       <path id="mb91c500e39" d="M 0 0 
L 0 -3.5 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#mb91c500e39" x="116.819114" y="320.910833" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_1">
      <!-- 20 -->
      <g transform="translate(108.819114 335.504583) 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)"/>
        <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-15"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_2">
      <g>
       <use xlink:href="#mb91c500e39" x="214.647307" y="320.910833" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <!-- 40 -->
      <g transform="translate(206.647307 335.504583) 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-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_3">
     <g id="line2d_3">
      <g>
       <use xlink:href="#mb91c500e39" x="312.475499" y="320.910833" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <!-- 60 -->
      <g transform="translate(304.475499 335.504583) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-19" d="M 2869 4325 
L 2869 4209 
Q 2456 4169 2195 4045 
Q 1934 3922 1679 3669 
Q 1425 3416 1258 3105 
Q 1091 2794 978 2366 
Q 1428 2675 1881 2675 
Q 2316 2675 2634 2325 
Q 2953 1975 2953 1425 
Q 2953 894 2631 456 
Q 2244 -75 1606 -75 
Q 1172 -75 869 213 
Q 275 772 275 1663 
Q 275 2231 503 2743 
Q 731 3256 1154 3653 
Q 1578 4050 1965 4187 
Q 2353 4325 2688 4325 
L 2869 4325 
z
M 925 2138 
Q 869 1716 869 1456 
Q 869 1156 980 804 
Q 1091 453 1309 247 
Q 1469 100 1697 100 
Q 1969 100 2183 356 
Q 2397 613 2397 1088 
Q 2397 1622 2184 2012 
Q 1972 2403 1581 2403 
Q 1463 2403 1327 2353 
Q 1191 2303 925 2138 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-19"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_4">
      <g>
       <use xlink:href="#mb91c500e39" x="410.303692" y="320.910833" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_4">
      <!-- 80 -->
      <g transform="translate(402.303692 335.504583) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-1b" d="M 1228 2134 
Q 725 2547 579 2797 
Q 434 3047 434 3316 
Q 434 3728 753 4026 
Q 1072 4325 1600 4325 
Q 2113 4325 2425 4047 
Q 2738 3769 2738 3413 
Q 2738 3175 2569 2928 
Q 2400 2681 1866 2347 
Q 2416 1922 2594 1678 
Q 2831 1359 2831 1006 
Q 2831 559 2490 242 
Q 2150 -75 1597 -75 
Q 994 -75 656 303 
Q 388 606 388 966 
Q 388 1247 577 1523 
Q 766 1800 1228 2134 
z
M 1719 2469 
Q 2094 2806 2194 3001 
Q 2294 3197 2294 3444 
Q 2294 3772 2109 3958 
Q 1925 4144 1606 4144 
Q 1288 4144 1088 3959 
Q 888 3775 888 3528 
Q 888 3366 970 3203 
Q 1053 3041 1206 2894 
L 1719 2469 
z
M 1375 2016 
Q 1116 1797 991 1539 
Q 866 1281 866 981 
Q 866 578 1086 336 
Q 1306 94 1647 94 
Q 1984 94 2187 284 
Q 2391 475 2391 747 
Q 2391 972 2272 1150 
Q 2050 1481 1375 2016 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-1b"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_5">
     <g id="line2d_5">
      <g>
       <use xlink:href="#mb91c500e39" x="508.131884" y="320.910833" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_5">
      <!-- 100 -->
      <g transform="translate(496.131884 335.504583) 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)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(100 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_6">
     <g id="line2d_6">
      <g>
       <use xlink:href="#mb91c500e39" x="605.960077" y="320.910833" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_6">
      <!-- 120 -->
      <g transform="translate(593.960077 335.504583) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(100 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_7">
     <g id="line2d_7">
      <g>
       <use xlink:href="#mb91c500e39" x="703.78827" y="320.910833" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_7">
      <!-- 140 -->
      <g transform="translate(691.78827 335.504583) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-17" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(100 0)"/>
      </g>
     </g>
    </g>
    <g id="text_8">
     <!-- 平均加速度$\mathrm{\ /\ (cm\ s^{-2})}$ -->
     <g transform="translate(340.41625 364.707708) scale(0.16 -0.16)">
      <defs>
       <path id="SimSun-14a3" d="M 3375 750 
Q 3375 200 3400 -350 
L 2975 -525 
Q 3000 250 3000 875 
L 3000 2325 
L 1050 2325 
Q 725 2325 450 2250 
L 225 2475 
L 3000 2475 
L 3000 4575 
L 1600 4575 
Q 1275 4575 1000 4500 
L 775 4725 
L 4850 4725 
L 5200 5075 
L 5700 4575 
L 3375 4575 
L 3375 2475 
L 5200 2475 
L 5575 2850 
L 6100 2325 
L 3375 2325 
L 3375 750 
z
M 4750 4325 
L 5275 3925 
Q 5075 3925 4725 3475 
Q 4350 3025 3925 2625 
L 3850 2675 
Q 4500 3550 4750 4325 
z
M 1300 4200 
Q 2025 3675 2150 3487 
Q 2275 3300 2275 3150 
Q 2275 3075 2237 2962 
Q 2200 2850 2062 2750 
Q 1925 2650 1800 3100 
Q 1675 3525 1225 4150 
L 1300 4200 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-d77" d="M 4075 4875 
L 3825 4725 
Q 3650 4325 3475 3925 
L 5400 3925 
L 5625 4175 
L 5975 3850 
L 5775 3675 
Q 5725 800 5612 337 
Q 5500 -125 5275 -312 
Q 5050 -500 4725 -625 
Q 4625 -250 3800 -25 
L 3800 100 
Q 4575 -50 4887 -12 
Q 5200 25 5287 750 
Q 5375 1475 5425 3775 
L 3425 3775 
Q 2975 2950 2500 2450 
L 2400 2500 
Q 2875 3200 3150 3950 
Q 3425 4700 3475 5200 
L 4075 4875 
z
M 3500 3175 
Q 4075 2850 4237 2637 
Q 4400 2425 4400 2300 
Q 4400 2175 4287 2025 
Q 4175 1875 4125 1875 
Q 4050 1875 3975 2125 
Q 3875 2500 3425 3100 
L 3500 3175 
z
M 4975 1750 
Q 4525 1425 3850 1000 
Q 3150 550 2900 225 
L 2525 700 
Q 2875 800 3462 1075 
Q 4050 1350 4925 1850 
L 4975 1750 
z
M 1700 1100 
L 2775 1500 
L 2825 1375 
Q 1875 925 1325 637 
Q 775 350 650 175 
L 275 675 
Q 950 850 1350 1000 
L 1350 3150 
L 750 3150 
L 525 3100 
L 325 3300 
L 1350 3300 
Q 1350 4700 1325 5175 
L 1925 4875 
L 1700 4675 
L 1700 3300 
L 1975 3300 
L 2250 3575 
L 2650 3150 
L 1700 3150 
L 1700 1100 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-8d0" d="M 1500 3800 
Q 1500 4700 1475 5250 
L 2075 4975 
L 1850 4800 
L 1850 3800 
L 2750 3800 
L 2950 4050 
L 3325 3725 
L 3100 3550 
Q 3025 650 2825 200 
Q 2625 -250 2150 -350 
Q 2175 -25 1450 250 
L 1475 375 
Q 2050 225 2225 225 
Q 2325 225 2437 287 
Q 2550 350 2637 862 
Q 2725 1375 2775 3650 
L 1850 3650 
Q 1825 2825 1762 2212 
Q 1700 1600 1400 900 
Q 1100 200 325 -525 
L 250 -450 
Q 825 225 1087 875 
Q 1350 1525 1425 2200 
Q 1500 2875 1500 3650 
L 825 3650 
L 525 3600 
L 325 3800 
L 1500 3800 
z
M 5725 3700 
L 5725 975 
Q 5725 375 5750 -175 
L 5400 -325 
L 5400 350 
L 4075 350 
L 4075 -300 
L 3725 -475 
Q 3750 300 3750 1850 
Q 3750 3400 3725 4175 
L 4100 3925 
L 5350 3925 
L 5575 4150 
L 5900 3825 
L 5725 3700 
z
M 4075 3775 
L 4075 500 
L 5400 500 
L 5400 3775 
L 4075 3775 
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="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-b" d="M 1988 -1253 
L 1988 -1369 
Q 1516 -1131 1200 -813 
Q 750 -359 506 256 
Q 263 872 263 1534 
Q 263 2503 741 3301 
Q 1219 4100 1988 4444 
L 1988 4313 
Q 1603 4100 1356 3731 
Q 1109 3363 987 2797 
Q 866 2231 866 1616 
Q 866 947 969 400 
Q 1050 -31 1165 -292 
Q 1281 -553 1476 -793 
Q 1672 -1034 1988 -1253 
z
" transform="scale(0.015625)"/>
       <path id="TimesNewRomanPSMT-46" d="M 2631 1088 
Q 2516 522 2178 217 
Q 1841 -88 1431 -88 
Q 944 -88 581 321 
Q 219 731 219 1428 
Q 219 2103 620 2525 
Q 1022 2947 1584 2947 
Q 2006 2947 2278 2723 
Q 2550 2500 2550 2259 
Q 2550 2141 2473 2067 
Q 2397 1994 2259 1994 
Q 2075 1994 1981 2113 
Q 1928 2178 1911 2362 
Q 1894 2547 1784 2644 
Q 1675 2738 1481 2738 
Q 1169 2738 978 2506 
Q 725 2200 725 1697 
Q 725 1184 976 792 
Q 1228 400 1656 400 
Q 1963 400 2206 609 
Q 2378 753 2541 1131 
L 2631 1088 
z
" transform="scale(0.015625)"/>
       <path id="TimesNewRomanPSMT-50" d="M 1050 2338 
Q 1363 2650 1419 2697 
Q 1559 2816 1721 2881 
Q 1884 2947 2044 2947 
Q 2313 2947 2506 2790 
Q 2700 2634 2766 2338 
Q 3088 2713 3309 2830 
Q 3531 2947 3766 2947 
Q 3994 2947 4170 2830 
Q 4347 2713 4450 2447 
Q 4519 2266 4519 1878 
L 4519 647 
Q 4519 378 4559 278 
Q 4591 209 4675 161 
Q 4759 113 4950 113 
L 4950 0 
L 3538 0 
L 3538 113 
L 3597 113 
Q 3781 113 3884 184 
Q 3956 234 3988 344 
Q 4000 397 4000 647 
L 4000 1878 
Q 4000 2228 3916 2372 
Q 3794 2572 3525 2572 
Q 3359 2572 3192 2489 
Q 3025 2406 2788 2181 
L 2781 2147 
L 2788 2013 
L 2788 647 
Q 2788 353 2820 281 
Q 2853 209 2943 161 
Q 3034 113 3253 113 
L 3253 0 
L 1806 0 
L 1806 113 
Q 2044 113 2133 169 
Q 2222 225 2256 338 
Q 2272 391 2272 647 
L 2272 1878 
Q 2272 2228 2169 2381 
Q 2031 2581 1784 2581 
Q 1616 2581 1450 2491 
Q 1191 2353 1050 2181 
L 1050 647 
Q 1050 366 1089 281 
Q 1128 197 1204 155 
Q 1281 113 1516 113 
L 1516 0 
L 100 0 
L 100 113 
Q 297 113 375 155 
Q 453 197 493 289 
Q 534 381 534 647 
L 534 1741 
Q 534 2213 506 2350 
Q 484 2453 437 2492 
Q 391 2531 309 2531 
Q 222 2531 100 2484 
L 53 2597 
L 916 2947 
L 1050 2947 
L 1050 2338 
z
" transform="scale(0.015625)"/>
       <path id="TimesNewRomanPSMT-56" d="M 2050 2947 
L 2050 1972 
L 1947 1972 
Q 1828 2431 1642 2597 
Q 1456 2763 1169 2763 
Q 950 2763 815 2647 
Q 681 2531 681 2391 
Q 681 2216 781 2091 
Q 878 1963 1175 1819 
L 1631 1597 
Q 2266 1288 2266 781 
Q 2266 391 1970 151 
Q 1675 -88 1309 -88 
Q 1047 -88 709 6 
Q 606 38 541 38 
Q 469 38 428 -44 
L 325 -44 
L 325 978 
L 428 978 
Q 516 541 762 319 
Q 1009 97 1316 97 
Q 1531 97 1667 223 
Q 1803 350 1803 528 
Q 1803 744 1651 891 
Q 1500 1038 1047 1263 
Q 594 1488 453 1669 
Q 313 1847 313 2119 
Q 313 2472 555 2709 
Q 797 2947 1181 2947 
Q 1350 2947 1591 2875 
Q 1750 2828 1803 2828 
Q 1853 2828 1881 2850 
Q 1909 2872 1947 2947 
L 2050 2947 
z
" transform="scale(0.015625)"/>
       <path id="TimesNewRomanPSMT-ed" d="M 3484 2000 
L 116 2000 
L 116 2256 
L 3484 2256 
L 3484 2000 
z
" transform="scale(0.015625)"/>
       <path id="TimesNewRomanPSMT-c" d="M 144 4313 
L 144 4444 
Q 619 4209 934 3891 
Q 1381 3434 1625 2820 
Q 1869 2206 1869 1541 
Q 1869 572 1392 -226 
Q 916 -1025 144 -1369 
L 144 -1253 
Q 528 -1038 776 -670 
Q 1025 -303 1145 264 
Q 1266 831 1266 1447 
Q 1266 2113 1163 2663 
Q 1084 3094 967 3353 
Q 850 3613 656 3853 
Q 463 4094 144 4313 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-14a3" transform="translate(0 0.578125)"/>
      <use xlink:href="#SimSun-d77" transform="translate(100 0.578125)"/>
      <use xlink:href="#SimSun-8d0" transform="translate(200 0.578125)"/>
      <use xlink:href="#SimSun-464f" transform="translate(300 0.578125)"/>
      <use xlink:href="#SimSun-14d6" transform="translate(400 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-12" transform="translate(524.072025 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-b" transform="translate(575.927253 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-46" transform="translate(609.228034 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-50" transform="translate(653.6128 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-56" transform="translate(755.468028 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-ed" transform="translate(795.166895 31.892187) scale(0.7)"/>
      <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(834.644434 31.892187) scale(0.7)"/>
      <use xlink:href="#TimesNewRomanPSMT-c" transform="translate(871.881153 0.578125)"/>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_8">
      <path d="M 87.7925 301.621293 
L 738 301.621293 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_9">
      <defs>
       <path id="m0fb74a3ec6" d="M 0 0 
L 3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="301.621293" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_9">
      <!-- 5.0 -->
      <g transform="translate(64.2925 307.168168) 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)"/>
        <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)"/>
       </defs>
       <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="ytick_2">
     <g id="line2d_10">
      <path d="M 87.7925 267.46017 
L 738 267.46017 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_11">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="267.46017" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_10">
      <!-- 7.5 -->
      <g transform="translate(64.2925 273.007045) scale(0.16 -0.16)">
       <defs>
        <path id="TimesNewRomanPSMT-1a" d="M 644 4238 
L 2916 4238 
L 2916 4119 
L 1503 -88 
L 1153 -88 
L 2419 3728 
L 1253 3728 
Q 900 3728 750 3644 
Q 488 3500 328 3200 
L 238 3234 
L 644 4238 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#TimesNewRomanPSMT-1a"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(75 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_12">
      <path d="M 87.7925 233.299048 
L 738 233.299048 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_13">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="233.299048" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_11">
      <!-- 10.0 -->
      <g transform="translate(56.2925 238.845923) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(100 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_14">
      <path d="M 87.7925 199.137925 
L 738 199.137925 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_15">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="199.137925" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_12">
      <!-- 12.5 -->
      <g transform="translate(56.2925 204.6848) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(100 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_16">
      <path d="M 87.7925 164.976802 
L 738 164.976802 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_17">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="164.976802" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_13">
      <!-- 15.0 -->
      <g transform="translate(56.2925 170.523677) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(100 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_6">
     <g id="line2d_18">
      <path d="M 87.7925 130.815679 
L 738 130.815679 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_19">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="130.815679" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_14">
      <!-- 17.5 -->
      <g transform="translate(56.2925 136.362554) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-1a" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(100 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_7">
     <g id="line2d_20">
      <path d="M 87.7925 96.654556 
L 738 96.654556 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_21">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="96.654556" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_15">
      <!-- 20.0 -->
      <g transform="translate(56.2925 102.201431) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(100 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_8">
     <g id="line2d_22">
      <path d="M 87.7925 62.493433 
L 738 62.493433 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_23">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="62.493433" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_16">
      <!-- 22.5 -->
      <g transform="translate(56.2925 68.040308) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(100 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_9">
     <g id="line2d_24">
      <path d="M 87.7925 28.332311 
L 738 28.332311 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_25">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="28.332311" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_17">
      <!-- 25.0 -->
      <g transform="translate(56.2925 33.879186) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(100 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="text_18">
     <!-- 悬挂质量$\mathrm{\ /\ g}$ -->
     <g transform="translate(40.7725 209.735417) rotate(-90) scale(0.16 -0.16)">
      <defs>
       <path id="SimSun-16dc" d="M 1925 4800 
L 1925 4250 
L 4425 4250 
L 4425 4800 
L 1925 4800 
z
M 1925 4100 
L 1925 3500 
L 4425 3500 
L 4425 4100 
L 1925 4100 
z
M 1925 3350 
L 1925 2775 
L 4425 2775 
L 4425 3350 
L 1925 3350 
z
M 1550 5200 
L 1925 4950 
L 4375 4950 
L 4550 5175 
L 4975 4875 
L 4775 4725 
L 4775 2775 
L 5150 2775 
L 5550 3175 
L 6100 2625 
L 2750 2625 
L 3075 2375 
Q 2675 2275 2350 2100 
Q 2025 1900 1625 1675 
L 4500 1775 
Q 4300 1975 3850 2300 
L 3900 2375 
Q 4525 2150 4862 1950 
Q 5200 1750 5212 1562 
Q 5225 1375 5162 1287 
Q 5100 1200 5050 1200 
Q 5000 1200 4925 1300 
Q 4800 1475 4600 1675 
Q 1750 1450 1500 1250 
L 1225 1700 
Q 1450 1725 1875 2025 
Q 2300 2325 2525 2625 
L 1150 2625 
Q 825 2625 550 2550 
L 325 2775 
L 1575 2775 
L 1575 4150 
Q 1575 4900 1550 5200 
z
M 1775 1225 
L 2350 925 
L 2150 775 
L 2150 250 
Q 2125 -50 2475 -50 
L 4050 -50 
Q 4250 -50 4312 225 
Q 4375 500 4400 900 
L 4500 900 
Q 4525 450 4562 262 
Q 4600 75 4825 -25 
Q 4650 -375 4125 -350 
L 2250 -350 
Q 1800 -350 1800 150 
Q 1800 925 1775 1225 
z
M 2675 1325 
L 2700 1400 
Q 3100 1275 3325 1150 
Q 3550 1025 3587 850 
Q 3625 675 3562 575 
Q 3500 475 3475 475 
Q 3400 475 3275 675 
Q 3075 975 2675 1325 
z
M 4900 900 
L 4950 975 
Q 5275 850 5550 700 
Q 5825 550 5862 450 
Q 5900 350 5900 250 
Q 5900 125 5850 25 
Q 5800 -75 5775 -75 
Q 5700 -75 5550 175 
Q 5325 525 4900 900 
z
M 1125 950 
L 1225 925 
Q 1200 375 1087 125 
Q 975 -125 800 -175 
Q 625 -225 525 -162 
Q 425 -100 425 -50 
Q 425 50 650 225 
Q 950 450 1125 950 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-1932" d="M 1750 2525 
L 2450 2925 
L 2500 2825 
L 1750 2275 
L 1750 75 
Q 1750 -375 1225 -575 
Q 1225 -250 500 -25 
L 500 75 
Q 1125 -25 1262 -12 
Q 1400 0 1400 175 
L 1400 2025 
Q 625 1475 625 1375 
L 275 1800 
Q 500 1850 1400 2350 
L 1400 3550 
L 875 3550 
L 575 3500 
L 375 3700 
L 1400 3700 
Q 1400 4800 1375 5200 
L 1975 4900 
L 1750 4725 
L 1750 3700 
L 2050 3700 
L 2325 3975 
L 2750 3550 
L 1750 3550 
L 1750 2525 
z
M 3875 3875 
Q 3875 4700 3850 5175 
L 4475 4900 
L 4225 4725 
L 4225 3875 
L 4975 3875 
L 5250 4150 
L 5675 3725 
L 4225 3725 
L 4225 2650 
L 5375 2650 
L 5675 2950 
L 6125 2500 
L 3175 2500 
Q 2850 2500 2575 2425 
L 2350 2650 
L 3875 2650 
L 3875 3725 
L 3050 3725 
L 2825 3675 
L 2625 3875 
L 3875 3875 
z
M 3875 1375 
Q 3875 1950 3850 2475 
L 4450 2200 
L 4225 2050 
L 4225 1375 
L 5025 1375 
L 5300 1650 
L 5725 1225 
L 4225 1225 
L 4225 -100 
L 5325 -100 
L 5650 225 
L 6125 -250 
L 2775 -250 
Q 2450 -250 2175 -325 
L 1950 -100 
L 3875 -100 
L 3875 1225 
L 2925 1225 
L 2700 1175 
L 2500 1375 
L 3875 1375 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-4358" d="M 275 -425 
Q 1175 1025 1125 3000 
Q 1125 4250 1100 4750 
L 1450 4525 
Q 2950 4650 3825 4837 
Q 4700 5025 4975 5200 
L 5400 4775 
Q 4600 4700 3750 4600 
Q 2875 4500 1450 4400 
L 1450 2750 
Q 1525 850 325 -475 
L 275 -425 
z
M 3400 3650 
Q 3400 4050 3375 4425 
L 3900 4200 
L 3725 4050 
L 3725 3650 
L 4925 3650 
L 5250 3950 
L 5675 3500 
L 3725 3500 
L 3725 2800 
L 4750 2800 
L 4925 3050 
L 5325 2750 
L 5125 2575 
Q 5125 1300 5150 850 
L 4800 675 
L 4800 2650 
L 2400 2650 
L 2400 725 
L 2050 575 
Q 2075 1325 2075 1912 
Q 2075 2500 2050 3000 
L 2400 2800 
L 3400 2800 
L 3400 3500 
L 2350 3500 
Q 2075 3500 1800 3425 
L 1575 3650 
L 3400 3650 
z
M 1225 -550 
Q 1800 -350 2337 -12 
Q 2875 325 3100 762 
Q 3325 1200 3350 1637 
Q 3375 2075 3375 2400 
L 3925 2125 
L 3725 1950 
Q 3675 800 3112 250 
Q 2550 -300 1250 -625 
L 1225 -550 
z
M 3625 725 
Q 4750 425 5125 262 
Q 5500 100 5525 -37 
Q 5550 -175 5550 -250 
Q 5550 -375 5512 -462 
Q 5475 -550 5450 -550 
Q 5375 -550 5250 -425 
Q 5050 -200 4700 37 
Q 4350 275 3600 625 
L 3625 725 
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="TimesNewRomanPSMT-4a" d="M 966 1044 
Q 703 1172 562 1401 
Q 422 1631 422 1909 
Q 422 2334 742 2640 
Q 1063 2947 1563 2947 
Q 1972 2947 2272 2747 
L 2878 2747 
Q 3013 2747 3034 2739 
Q 3056 2731 3066 2713 
Q 3084 2684 3084 2613 
Q 3084 2531 3069 2500 
Q 3059 2484 3036 2475 
Q 3013 2466 2878 2466 
L 2506 2466 
Q 2681 2241 2681 1891 
Q 2681 1491 2375 1206 
Q 2069 922 1553 922 
Q 1341 922 1119 984 
Q 981 866 932 777 
Q 884 688 884 625 
Q 884 572 936 522 
Q 988 472 1138 450 
Q 1225 438 1575 428 
Q 2219 413 2409 384 
Q 2700 344 2873 169 
Q 3047 -6 3047 -263 
Q 3047 -616 2716 -925 
Q 2228 -1381 1444 -1381 
Q 841 -1381 425 -1109 
Q 191 -953 191 -784 
Q 191 -709 225 -634 
Q 278 -519 444 -313 
Q 466 -284 763 25 
Q 600 122 533 198 
Q 466 275 466 372 
Q 466 481 555 628 
Q 644 775 966 1044 
z
M 1509 2797 
Q 1278 2797 1122 2612 
Q 966 2428 966 2047 
Q 966 1553 1178 1281 
Q 1341 1075 1591 1075 
Q 1828 1075 1981 1253 
Q 2134 1431 2134 1813 
Q 2134 2309 1919 2591 
Q 1759 2797 1509 2797 
z
M 934 0 
Q 788 -159 713 -296 
Q 638 -434 638 -550 
Q 638 -700 819 -813 
Q 1131 -1006 1722 -1006 
Q 2284 -1006 2551 -807 
Q 2819 -609 2819 -384 
Q 2819 -222 2659 -153 
Q 2497 -84 2016 -72 
Q 1313 -53 934 0 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-16dc" transform="translate(0 0.75)"/>
      <use xlink:href="#SimSun-1932" transform="translate(100 0.75)"/>
      <use xlink:href="#SimSun-4358" transform="translate(200 0.75)"/>
      <use xlink:href="#SimSun-47ff" transform="translate(300 0.75)"/>
      <use xlink:href="#TimesNewRomanPSMT-12" transform="translate(424.072025 0.75)"/>
      <use xlink:href="#TimesNewRomanPSMT-4a" transform="translate(475.927253 0.75)"/>
     </g>
    </g>
   </g>
   <g id="line2d_26">
    <path d="M 117.347386 306.978523 
L 708.445114 31.030898 
L 708.445114 31.030898 
" clip-path="url(#p13e84238b4)" style="fill: none; stroke: #222222; stroke-width: 1.8; stroke-linecap: square"/>
   </g>
   <g id="line2d_27">
    <defs>
     <path id="m0fce403903" 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(#p13e84238b4)">
     <use xlink:href="#m0fce403903" x="117.347386" y="301.621293" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="288.543269" y="233.299048" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="425.913903" y="164.976802" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="567.371784" y="96.654556" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="708.445114" y="28.332311" style="fill: #ffffff; stroke: #222222"/>
    </g>
   </g>
   <g id="patch_3">
    <path d="M 87.7925 320.910833 
L 87.7925 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 87.7925 320.910833 
L 738 320.910833 
" style="fill: none; stroke: #000000; stroke-width: 1.1; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="legend_1">
    <g id="line2d_28">
     <path d="M 99.4925 32.214062 
L 112.4925 32.214062 
L 125.4925 32.214062 
" style="fill: none; stroke: #222222; stroke-width: 1.8; stroke-linecap: square"/>
    </g>
    <g id="text_19">
     <!-- 线性拟合 -->
     <g transform="translate(135.8925 36.764062) scale(0.13 -0.13)">
      <defs>
       <path id="SimSun-34ef" d="M 3900 3400 
Q 3900 3050 3950 2475 
L 5125 2600 
L 5450 2975 
L 5950 2550 
L 3975 2350 
Q 4050 1575 4225 1125 
Q 4775 1625 5100 2175 
L 5550 1725 
L 5325 1700 
Q 4850 1250 4375 800 
Q 4825 175 5425 -75 
L 5775 1125 
L 5875 1100 
Q 5825 525 5812 150 
Q 5800 -225 5925 -450 
Q 5950 -500 5950 -525 
Q 5950 -625 5687 -587 
Q 5425 -550 4987 -287 
Q 4550 -25 4100 550 
Q 3650 250 3187 50 
Q 2725 -150 2025 -350 
L 2000 -250 
Q 3075 150 3925 850 
Q 3700 1525 3625 2300 
L 2600 2175 
L 2400 2075 
L 2125 2275 
L 3600 2425 
Q 3575 2775 3550 3375 
L 2825 3325 
L 2675 3225 
L 2450 3425 
L 3550 3500 
Q 3525 4375 3500 5250 
L 4075 4975 
L 3875 4800 
Q 3875 4275 3900 3525 
L 4975 3625 
L 5300 4000 
L 5800 3550 
L 3900 3400 
z
M 4275 4825 
L 4300 4900 
Q 5075 4700 5150 4562 
Q 5225 4425 5225 4325 
Q 5225 4200 5175 4075 
Q 5125 3950 5075 3950 
Q 5025 3950 4925 4150 
Q 4750 4425 4275 4825 
z
M 1525 5150 
L 2025 4825 
Q 1825 4750 1600 4325 
Q 1375 3875 775 3050 
L 1800 3150 
Q 2100 3650 2275 4150 
L 2725 3825 
Q 2550 3725 2125 3100 
Q 1700 2475 1025 1600 
Q 1375 1650 2575 1875 
L 2575 1775 
Q 1900 1600 1525 1462 
Q 1150 1325 775 1075 
L 475 1600 
Q 750 1675 1112 2137 
Q 1475 2600 1750 3050 
Q 1475 3000 1175 2912 
Q 875 2825 625 2600 
L 350 3075 
Q 625 3125 987 3787 
Q 1350 4450 1525 5150 
z
M 325 375 
Q 1025 475 1450 550 
Q 1875 625 2825 825 
L 2850 725 
Q 1725 400 1212 212 
Q 700 25 575 -100 
L 325 375 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-1657" d="M 3975 3450 
Q 3975 4800 3950 5200 
L 4575 4925 
L 4325 4750 
L 4325 3450 
L 5050 3450 
L 5400 3800 
L 5900 3300 
L 4325 3300 
L 4325 1925 
L 4975 1925 
L 5300 2250 
L 5775 1775 
L 4325 1775 
L 4325 25 
L 5300 25 
L 5650 375 
L 6150 -125 
L 2875 -125 
Q 2550 -125 2275 -200 
L 2050 25 
L 3975 25 
L 3975 1775 
L 3450 1775 
Q 3125 1775 2850 1700 
L 2625 1925 
L 3975 1925 
L 3975 3300 
L 2950 3300 
Q 2625 2500 2225 2000 
L 2150 2050 
Q 2450 2650 2650 3387 
Q 2850 4125 2900 4600 
L 3475 4325 
L 3250 4175 
L 3000 3450 
L 3975 3450 
z
M 875 3625 
Q 950 2875 900 2687 
Q 850 2500 737 2437 
Q 625 2375 550 2375 
Q 500 2375 412 2412 
Q 325 2450 325 2475 
Q 325 2575 500 2775 
Q 725 3050 775 3625 
L 875 3625 
z
M 1575 3950 
Q 1975 3800 2150 3675 
Q 2325 3550 2300 3350 
Q 2275 3150 2175 3075 
Q 2075 3000 1975 3275 
Q 1850 3550 1575 3825 
L 1575 500 
Q 1575 75 1600 -425 
L 1200 -600 
Q 1225 125 1225 700 
L 1225 4225 
Q 1225 4650 1200 5250 
L 1800 4975 
L 1575 4800 
L 1575 3950 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-190f" d="M 3150 1050 
L 4250 1900 
L 4325 1825 
Q 4000 1500 3625 1087 
Q 3250 675 3050 300 
L 2675 675 
Q 2800 800 2800 1125 
L 2800 3125 
Q 2800 3850 2775 4650 
L 3375 4350 
L 3150 4175 
L 3150 1050 
z
M 5050 1175 
Q 5725 700 5887 450 
Q 6050 200 6000 -12 
Q 5950 -225 5850 -325 
Q 5750 -425 5625 25 
Q 5475 475 5000 1025 
Q 4375 -225 2625 -675 
L 2600 -575 
Q 3250 -300 3712 37 
Q 4175 375 4500 912 
Q 4825 1450 4850 2400 
Q 4875 3350 4875 3750 
Q 4875 4525 4825 5000 
L 5500 4675 
L 5250 4475 
Q 5250 3650 5237 2775 
Q 5225 1900 5050 1175 
z
M 1375 3850 
Q 1375 4875 1350 5225 
L 1925 4950 
L 1725 4750 
L 1725 3850 
L 2050 3850 
L 2325 4125 
L 2750 3700 
L 1725 3700 
L 1725 2525 
L 2575 2975 
L 2625 2875 
L 1725 2275 
L 1725 100 
Q 1700 -350 1175 -550 
Q 1200 -275 450 0 
L 450 100 
Q 1000 0 1200 12 
Q 1400 25 1375 350 
L 1375 2050 
Q 675 1600 600 1425 
L 250 1875 
Q 550 1950 1375 2375 
L 1375 3700 
L 775 3700 
L 450 3650 
L 250 3850 
L 1375 3850 
z
M 3575 4775 
Q 4050 4375 4200 4150 
Q 4350 3925 4350 3775 
Q 4350 3700 4312 3587 
Q 4275 3475 4200 3412 
Q 4125 3350 4100 3350 
Q 4000 3350 3950 3700 
Q 3850 4125 3500 4725 
L 3575 4775 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-a38" d="M 3575 4875 
L 3350 4750 
Q 3650 4225 4312 3662 
Q 4975 3100 6125 2825 
L 6125 2750 
Q 5750 2675 5600 2400 
Q 4500 3000 3962 3612 
Q 3425 4225 3250 4625 
Q 2575 3600 1887 3075 
Q 1200 2550 300 2225 
L 275 2325 
Q 1250 2825 1937 3500 
Q 2625 4175 3050 5225 
L 3575 4875 
z
M 1525 2700 
L 4025 2700 
L 4350 3025 
L 4825 2550 
L 2300 2550 
Q 2025 2550 1750 2475 
L 1525 2700 
z
M 1975 1500 
L 1975 100 
L 4375 100 
L 4375 1500 
L 1975 1500 
z
M 4725 1375 
Q 4725 250 4750 -325 
L 4375 -475 
L 4375 -50 
L 1975 -50 
L 1975 -375 
L 1600 -525 
Q 1625 100 1625 675 
Q 1625 1250 1600 1850 
L 1975 1650 
L 4325 1650 
L 4575 1900 
L 4925 1550 
L 4725 1375 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-34ef"/>
      <use xlink:href="#SimSun-1657" transform="translate(100 0)"/>
      <use xlink:href="#SimSun-190f" transform="translate(200 0)"/>
      <use xlink:href="#SimSun-a38" transform="translate(300 0)"/>
     </g>
    </g>
    <g id="line2d_29">
     <g>
      <use xlink:href="#m0fce403903" x="112.4925" y="52.133008" style="fill: #ffffff; stroke: #222222"/>
     </g>
    </g>
    <g id="text_20">
     <!-- 观测值 -->
     <g transform="translate(135.8925 56.683008) 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-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-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 id="axes_2">
   <g id="patch_5">
    <path d="M 87.7925 550.283125 
L 738 550.283125 
L 738 397.027708 
L 87.7925 397.027708 
z
" style="fill: #ffffff"/>
   </g>
   <g id="matplotlib.axis_3">
    <g id="xtick_8">
     <g id="line2d_30">
      <g>
       <use xlink:href="#mb91c500e39" x="116.819114" y="550.283125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_21">
      <!-- 20 -->
      <g transform="translate(108.819114 564.876875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-15"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_9">
     <g id="line2d_31">
      <g>
       <use xlink:href="#mb91c500e39" x="214.647307" y="550.283125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_22">
      <!-- 40 -->
      <g transform="translate(206.647307 564.876875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-17"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_10">
     <g id="line2d_32">
      <g>
       <use xlink:href="#mb91c500e39" x="312.475499" y="550.283125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_23">
      <!-- 60 -->
      <g transform="translate(304.475499 564.876875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-19"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_11">
     <g id="line2d_33">
      <g>
       <use xlink:href="#mb91c500e39" x="410.303692" y="550.283125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_24">
      <!-- 80 -->
      <g transform="translate(402.303692 564.876875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-1b"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_12">
     <g id="line2d_34">
      <g>
       <use xlink:href="#mb91c500e39" x="508.131884" y="550.283125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_25">
      <!-- 100 -->
      <g transform="translate(496.131884 564.876875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(100 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_13">
     <g id="line2d_35">
      <g>
       <use xlink:href="#mb91c500e39" x="605.960077" y="550.283125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_26">
      <!-- 120 -->
      <g transform="translate(593.960077 564.876875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(100 0)"/>
      </g>
     </g>
    </g>
    <g id="xtick_14">
     <g id="line2d_36">
      <g>
       <use xlink:href="#mb91c500e39" x="703.78827" y="550.283125" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_27">
      <!-- 140 -->
      <g transform="translate(691.78827 564.876875) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-14"/>
       <use xlink:href="#TimesNewRomanPSMT-17" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(100 0)"/>
      </g>
     </g>
    </g>
    <g id="text_28">
     <!-- 平均加速度$\mathrm{\ /\ (cm\ s^{-2})}$ -->
     <g transform="translate(340.41625 594.08) scale(0.16 -0.16)">
      <use xlink:href="#SimSun-14a3" transform="translate(0 0.578125)"/>
      <use xlink:href="#SimSun-d77" transform="translate(100 0.578125)"/>
      <use xlink:href="#SimSun-8d0" transform="translate(200 0.578125)"/>
      <use xlink:href="#SimSun-464f" transform="translate(300 0.578125)"/>
      <use xlink:href="#SimSun-14d6" transform="translate(400 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-12" transform="translate(524.072025 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-b" transform="translate(575.927253 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-46" transform="translate(609.228034 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-50" transform="translate(653.6128 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-56" transform="translate(755.468028 0.578125)"/>
      <use xlink:href="#TimesNewRomanPSMT-ed" transform="translate(795.166895 31.892187) scale(0.7)"/>
      <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(834.644434 31.892187) scale(0.7)"/>
      <use xlink:href="#TimesNewRomanPSMT-c" transform="translate(871.881153 0.578125)"/>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_4">
    <g id="ytick_10">
     <g id="line2d_37">
      <path d="M 87.7925 509.378761 
L 738 509.378761 
" clip-path="url(#p9ac1032640)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_38">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="509.378761" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_29">
      <!-- −0.25 -->
      <g transform="translate(47.27 514.925636) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-ed"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(56.390625 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(106.390625 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(131.390625 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(181.390625 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_11">
     <g id="line2d_39">
      <path d="M 87.7925 468.344609 
L 738 468.344609 
" clip-path="url(#p9ac1032640)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_40">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="468.344609" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_30">
      <!-- 0.00 -->
      <g transform="translate(56.2925 473.891484) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-13"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(75 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-13" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="ytick_12">
     <g id="line2d_41">
      <path d="M 87.7925 427.310456 
L 738 427.310456 
" clip-path="url(#p9ac1032640)" style="fill: none; stroke: #e3e3e3; stroke-width: 0.8; stroke-linecap: square"/>
     </g>
     <g id="line2d_42">
      <g>
       <use xlink:href="#m0fb74a3ec6" x="87.7925" y="427.310456" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_31">
      <!-- 0.25 -->
      <g transform="translate(56.2925 432.857331) scale(0.16 -0.16)">
       <use xlink:href="#TimesNewRomanPSMT-13"/>
       <use xlink:href="#TimesNewRomanPSMT-11" transform="translate(50 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-15" transform="translate(75 0)"/>
       <use xlink:href="#TimesNewRomanPSMT-18" transform="translate(125 0)"/>
      </g>
     </g>
    </g>
    <g id="text_32">
     <!-- 残差$\mathrm{\ /\ g}$ -->
     <g transform="translate(31.75 499.735417) rotate(-90) scale(0.16 -0.16)">
      <defs>
       <path id="SimSun-21bb" d="M 5625 -50 
L 6000 1050 
L 6075 1025 
Q 5950 525 5925 175 
Q 5900 -175 6000 -400 
Q 6075 -600 5825 -550 
Q 5575 -500 5137 -212 
Q 4700 75 4350 625 
Q 3900 275 3325 0 
Q 2750 -275 2175 -400 
L 2125 -325 
Q 2650 -150 3225 187 
Q 3800 525 4175 875 
Q 4050 1200 3975 1512 
Q 3900 1825 3850 2250 
L 3125 2150 
L 2925 2075 
L 2650 2250 
L 3825 2400 
Q 3800 2750 3775 3275 
L 3250 3225 
L 3050 3150 
L 2800 3350 
L 3775 3425 
Q 3750 4575 3725 5225 
L 4325 4900 
L 4100 4750 
Q 4100 4400 4125 3475 
L 5125 3575 
L 5375 3875 
L 5850 3500 
L 4125 3325 
Q 4150 2725 4175 2450 
L 5225 2600 
L 5475 2900 
L 5950 2550 
L 4200 2300 
Q 4275 1575 4475 1150 
Q 4700 1375 4975 1750 
Q 5250 2125 5300 2250 
L 5725 1875 
L 5500 1800 
Q 5025 1250 4600 850 
Q 4800 550 5062 325 
Q 5325 100 5625 -50 
z
M 4575 4900 
Q 5200 4550 5275 4437 
Q 5350 4325 5350 4225 
Q 5350 4075 5275 3962 
Q 5200 3850 5150 3850 
Q 5075 3850 5000 4075 
Q 4875 4400 4500 4825 
L 4575 4900 
z
M 2650 3025 
Q 2500 2325 2287 1675 
Q 2075 1025 1600 437 
Q 1125 -150 350 -600 
L 325 -525 
Q 950 -50 1312 437 
Q 1675 925 1912 1537 
Q 2150 2150 2300 3100 
L 1275 3100 
Q 1175 2825 1075 2600 
Q 1450 2375 1587 2212 
Q 1725 2050 1725 1950 
Q 1725 1850 1637 1700 
Q 1550 1550 1525 1550 
Q 1450 1550 1375 1800 
Q 1275 2175 1025 2500 
Q 825 2050 325 1500 
L 250 1550 
Q 675 2175 912 2962 
Q 1150 3750 1225 4450 
L 850 4450 
L 575 4400 
L 375 4600 
L 2275 4600 
L 2550 4875 
L 2975 4450 
L 1575 4450 
Q 1450 3725 1300 3250 
L 2275 3250 
L 2475 3500 
L 2850 3150 
L 2650 3025 
z
" transform="scale(0.015625)"/>
       <path id="SimSun-141e" d="M 1600 5100 
L 1650 5175 
Q 2300 4925 2400 4775 
Q 2500 4625 2500 4525 
Q 2500 4400 2437 4287 
Q 2375 4175 2325 4175 
Q 2250 4175 2175 4375 
Q 2025 4700 1600 5100 
z
M 3200 3925 
Q 3100 3450 3025 3175 
L 4650 3175 
L 4975 3500 
L 5450 3025 
L 3000 3025 
Q 2900 2675 2725 2275 
L 5075 2275 
L 5475 2675 
L 6025 2125 
L 2675 2125 
Q 1900 675 350 -200 
L 325 -100 
Q 1650 825 2325 2125 
L 950 2125 
L 600 2075 
L 400 2275 
L 2375 2275 
Q 2525 2650 2650 3025 
L 1550 3025 
L 1225 2975 
L 1025 3175 
L 2675 3175 
Q 2775 3575 2825 3925 
L 1250 3925 
L 900 3875 
L 700 4075 
L 3750 4075 
Q 4200 4925 4250 5250 
L 4800 4925 
Q 4550 4900 3900 4075 
L 5050 4075 
L 5425 4450 
L 5950 3925 
L 3200 3925 
z
M 2150 1275 
L 4650 1275 
L 4950 1575 
L 5400 1125 
L 3850 1125 
L 3850 -175 
L 5200 -175 
L 5550 175 
L 6050 -325 
L 2050 -325 
Q 1725 -325 1450 -400 
L 1225 -175 
L 3500 -175 
L 3500 1125 
L 2625 1125 
L 2350 1075 
L 2150 1275 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#SimSun-21bb" transform="translate(0 0.96875)"/>
      <use xlink:href="#SimSun-141e" transform="translate(100 0.96875)"/>
      <use xlink:href="#TimesNewRomanPSMT-12" transform="translate(224.072025 0.96875)"/>
      <use xlink:href="#TimesNewRomanPSMT-4a" transform="translate(275.927253 0.96875)"/>
     </g>
    </g>
   </g>
   <g id="line2d_43">
    <g clip-path="url(#p9ac1032640)">
     <use xlink:href="#m0fce403903" x="117.347386" y="403.993864" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="288.543269" y="543.31697" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="425.913903" y="492.960003" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="567.371784" y="465.522879" style="fill: #ffffff; stroke: #222222"/>
     <use xlink:href="#m0fce403903" x="708.445114" y="435.929328" style="fill: #ffffff; stroke: #222222"/>
    </g>
   </g>
   <g id="line2d_44">
    <path d="M 87.7925 468.344609 
L 738 468.344609 
" clip-path="url(#p9ac1032640)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #888888"/>
   </g>
   <g id="patch_6">
    <path d="M 87.7925 550.283125 
L 87.7925 397.027708 
" style="fill: none; stroke: #000000; stroke-width: 1.1; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_7">
    <path d="M 87.7925 550.283125 
L 738 550.283125 
" style="fill: none; stroke: #000000; stroke-width: 1.1; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p13e84238b4">
   <rect x="87.7925" y="14.4" width="650.2075" height="306.510833"/>
  </clipPath>
  <clipPath id="p9ac1032640">
   <rect x="87.7925" y="397.027708" width="650.2075" height="153.255417"/>
  </clipPath>
 </defs>
</svg>
"
]
}
},
"cell_type": "markdown",
"id": "newton-second-law-008",
"metadata": {},
"source": [
"## 七、数据处理\n",
"\n",
"### 1. 加速度重算与均值\n",
"\n",
"有速度的各组按 $S=50.00\\,\\mathrm{cm}$ 重算：\n",
"\n",
"$$\n",
"a_i=\\frac{v_{2,i}^2-v_{1,i}^2}{100.00}\\quad(\\mathrm{cm\\,s^{-2}}).\n",
"$$\n",
"\n",
"第一组直接采用加速度读数。重算和记录列的差异如下；主分析以速度重算值为准，不提前修约。\n",
"\n",
"\n",
"\n",
"表 2 加速度复算及相对记录列差值\n",
"\n",
"\n",
"\n",
"| 组别 | 次数 | 采用加速度 / (cm s⁻²) | 相对记录列差值 / (cm s⁻²) |\n",
"| --- | --- | --- | --- |\n",
"| 1 | 1 | 20.06 | 0 |\n",
"| 1 | 2 | 20.21 | 0 |\n",
"| 1 | 3 | 19.92 | 0 |\n",
"| 1 | 4 | 20.13 | 0 |\n",
"| 1 | 5 | 20.22 | 0 |\n",
"| 2 | 1 | 55.274757 | -0.005243 |\n",
"| 2 | 2 | 54.95544 | 0.00544 |\n",
"| 2 | 3 | 54.687048 | 0.007048 |\n",
"| 2 | 4 | 55.257336 | -0.002664 |\n",
"| 2 | 5 | 55.361888 | 0.011888 |\n",
"| 3 | 1 | 83.569696 | 0.009696 |\n",
"| 3 | 2 | 83.348784 | 0.018784 |\n",
"| 3 | 3 | 82.828992 | 0.008992 |\n",
"| 3 | 4 | 83.101089 | 0.021089 |\n",
"| 3 | 5 | 83.1082 | 0.0182 |\n",
"| 4 | 1 | 111.93666 | 0.026657 |\n",
"| 4 | 2 | 110.6519 | -0.008095 |\n",
"| 4 | 3 | 112.47638 | 0.036384 |\n",
"| 4 | 4 | 112.84944 | 0.00944 |\n",
"| 4 | 5 | 112.64065 | -0.009348 |\n",
"| 5 | 1 | 142.12382 | 0.023815 |\n",
"| 5 | 2 | 139.00973 | 0.009728 |\n",
"| 5 | 3 | 138.9913 | 0.0013 |\n",
"| 5 | 4 | 142.35454 | 0.02454 |\n",
"| 5 | 5 | 142.28084 | 0.010844 |\n",
"\n",
"每组 $n=5$，均值及均值的 A 类标准不确定度为\n",
"\n",
"$$\n",
"\\bar a=\\frac{1}{n}\\sum_{i=1}^n a_i,\\qquad\n",
"u_A(\\bar a)=\\sqrt{\\frac{\\sum_{i=1}^n(a_i-\\bar a)^2}{n(n-1)}}.\n",
"$$\n",
"\n",
"\n",
"\n",
"表 3 加速度、驱动力与拟合残差汇总\n",
"\n",
"\n",
"\n",
"| 组别 | $m_0 / \\mathrm{g}$ | $F / \\mathrm{N}$ | $\\bar a / (\\mathrm{cm\\,s^{-2}})$ | $u_A(\\bar a) / (\\mathrm{cm\\,s^{-2}})$ | 质量拟合残差 / g |\n",
"| --- | --- | --- | --- | --- | --- |\n",
"| 1 | 5 | 0.049 | 20.108 | 0.055263008 | 0.39205601 |\n",
"| 2 | 10 | 0.098 | 55.107294 | 0.12550715 | -0.45676806 |\n",
"| 3 | 15 | 0.147 | 83.191352 | 0.12535858 | -0.14996895 |\n",
"| 4 | 20 | 0.196 | 112.11101 | 0.39488505 | 0.017191351 |\n",
"| 5 | 25 | 0.245 | 140.95205 | 0.79758574 | 0.19748964 |\n",
"\n",
"### 2. 最小二乘法线性拟合\n",
"\n",
"以 $x_i=\\bar a_i$ 为横坐标、$y_i=m_{0,i}$ 为纵坐标，等权拟合 $y=Kx+C$：\n",
"\n",
"$$\n",
"K=\\frac{\\sum_i(x_i-\\bar x)(y_i-\\bar y)}{\\sum_i(x_i-\\bar x)^2},\\qquad C=\\bar y-K\\bar x.\n",
"$$\n",
"\n",
"$$\n",
"r=\\frac{\\sum_i(x_i-\\bar x)(y_i-\\bar y)}{\\sqrt{\\sum_i(x_i-\\bar x)^2\\sum_i(y_i-\\bar y)^2}}.\n",
"$$\n",
"\n",
"计算得到斜率 0.167112631 $\\mathrm{g}/(\\mathrm{cm\\,s^{-2}})$、截距 1.247643204 $\\mathrm{g}$、相关系数 0.9991513732，决定系数为 0.9983034665。拟合使用五组未修约均值；图示同时检查各组与直线的偏离。\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"图 1 悬挂质量与平均加速度的线性拟合及残差\n",
"\n",
"\n",
"\n",
"令残差为 $e_i=y_i-(Kx_i+C)$，在普通线性回归模型下，残差标准差及参数标准误差为\n",
"\n",
"$$\n",
"s_y=\\sqrt{\\frac{\\sum_i e_i^2}{N-2}},\\quad\n",
"u(K)=\\frac{s_y}{\\sqrt{\\sum_i(x_i-\\bar x)^2}},\\quad\n",
"u(C)=s_y\\sqrt{\\frac1N+\\frac{\\bar x^2}{\\sum_i(x_i-\\bar x)^2}},\\qquad N=5.\n",
"$$\n",
"\n",
"加速度也存在测量误差，且各组重复性不同；以上为等权回归的条件标准误差，未代替完整的测量不确定度预算。\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-009",
"metadata": {},
"source": [
"#### 未修约数据与复算检查\n",
"\n",
"逐次重算有速度记录的加速度，并展示记录列与计算列差异。第一组使用直接记录值。"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-010",
"metadata": {},
"source": [
"表 4 逐次加速度复算检查"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "newton-second-law-011",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-16T00:39:28.690315Z",
"iopub.status.busy": "2026-10-16T00:39:28.690018Z",
"iopub.status.idle": "2026-10-16T00:39:28.696538Z",
"shell.execute_reply": "2026-10-16T00:39:28.695544Z"
},
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"text/markdown": [
"| 组别 | 次数 | 采用加速度 / (cm s⁻²) | 相对记录列差值 / (cm s⁻²) |\n",
"| --- | --- | --- | --- |\n",
"| 1 | 1 | 20.06 | 0 |\n",
"| 1 | 2 | 20.21 | 0 |\n",
"| 1 | 3 | 19.92 | 0 |\n",
"| 1 | 4 | 20.13 | 0 |\n",
"| 1 | 5 | 20.22 | 0 |\n",
"| 2 | 1 | 55.274757 | -0.005243 |\n",
"| 2 | 2 | 54.95544 | 0.00544 |\n",
"| 2 | 3 | 54.687048 | 0.007048 |\n",
"| 2 | 4 | 55.257336 | -0.002664 |\n",
"| 2 | 5 | 55.361888 | 0.011888 |\n",
"| 3 | 1 | 83.569696 | 0.009696 |\n",
"| 3 | 2 | 83.348784 | 0.018784 |\n",
"| 3 | 3 | 82.828992 | 0.008992 |\n",
"| 3 | 4 | 83.101089 | 0.021089 |\n",
"| 3 | 5 | 83.1082 | 0.0182 |\n",
"| 4 | 1 | 111.93666 | 0.026657 |\n",
"| 4 | 2 | 110.6519 | -0.008095 |\n",
"| 4 | 3 | 112.47638 | 0.036384 |\n",
"| 4 | 4 | 112.84944 | 0.00944 |\n",
"| 4 | 5 | 112.64065 | -0.009348 |\n",
"| 5 | 1 | 142.12382 | 0.023815 |\n",
"| 5 | 2 | 139.00973 | 0.009728 |\n",
"| 5 | 3 | 138.9913 | 0.0013 |\n",
"| 5 | 4 | 142.35454 | 0.02454 |\n",
"| 5 | 5 | 142.28084 | 0.010844 |"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import physicslab.common.manuscripts as _presentation\n",
"_presentation._table_captioned=True\n",
"table_display(result[\"tables\"][\"recalculation\"])"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-012",
"metadata": {},
"source": [
"## 八、实验结果与讨论\n",
"\n",
"### 1. 关系验证\n",
"\n",
"悬挂质量增大时，加速度单调增大，五组数据呈较强线性相关。相关系数为 0.9991513732，并非严格等于一。首组与其余组的趋势存在可见偏离，且首组采用不同的记录模式。结果支持牛顿第二定律所预期的整体线性趋势；在缺少仪器预算和总质量实测值的条件下，尚不能据此断言所有偏差都位于测量不确定度内，也不能仅靠高相关系数证明严格正比例关系。\n",
"\n",
"### 2. 截距与系统质量估算\n",
"\n",
"将所拟合的常量截距解释为等效反向力，得\n",
"\n",
"$$\n",
"f=C\\times10^{-3}g,\\qquad M=K\\times100g.\n",
"$$\n",
"\n",
"这里 $C$ 用克、$K$ 用 $\\mathrm{g}/(\\mathrm{cm\\,s^{-2}})$、$g$ 用 $\\mathrm{m\\,s^{-2}}$，输出 $f$ 的单位为牛顿，$M$ 的单位为克。推算系统质量为 163.7703784 $\\mathrm{g}$，等效阻力为 0.0122269034 $\\mathrm{N}$。它们是该拟合模型下的推算量；系统质量缺少独立称量值，截距也可能受倾斜及模式偏差影响。\n",
"\n",
"### 3. 首组的影响和误差来源\n",
"\n",
"作为诊断，省略第一组重新拟合，斜率为 0.1745402776，截距为 0.422905104 $\\mathrm{g}$，相关系数为 0.9999774498。该比较用于判断首组影响，正式结果仍保留全部五组，不将删点解释为新的实测数据。\n",
"\n",
"导轨未完全调平时，沿轨重力分量形成附加驱动力；气垫不稳定、滑轮摩擦、滑轮转动惯量和细线运动都会改变有效模型。较高速度下空气阻力可能使加速度偏小。挡光片宽度、计时分辨率和门间距离误差会传递至加速度；由于两速度平方作差，速度误差的影响不能只靠重复性判定。改善实验应统一五组记录方式、补充仪器指标和系统质量称量，并检查低受力端的重复测量及导轨水平。\n"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-013",
"metadata": {},
"source": [
"#### 拟合组别选择与影响分析\n",
"\n",
"切换全部五组或省略其中一组，观察拟合直线变化。所有观测点始终显示；只改变拟合使用的集合。默认保留全部五组，选点用于诊断，不自动更改正式结论。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "newton-second-law-014",
"metadata": {
"execution": {
"iopub.execute_input": "2026-10-16T00:39:28.699421Z",
"iopub.status.busy": "2026-10-16T00:39:28.699007Z",
"iopub.status.idle": "2026-10-16T00:39:29.063084Z",
"shell.execute_reply": "2026-10-16T00:39:29.062143Z"
},
"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(\"fit-selection\",result))"
]
},
{
"cell_type": "markdown",
"id": "newton-second-law-015",
"metadata": {},
"source": [
"图 2 各组观测对质量—加速度拟合的影响"
]
}
],
"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/newton-second-law",
"latin_font": "Times New Roman"
}
},
"nbformat": 4,
"nbformat_minor": 5
}