03 // 双向 STEM 与金融计算器 // 物理力学、电磁学与热力学计算器U = m × g × h
重力势能 (U = mgh) 计算器
利用 U = m × g × h 求解重力势能、物体质量、重力加速度或相对高度。
U = m × g × h
选择要计算的未知量（或直接在任意输入框中输入数值）：当前求解: U — Potential Energy
计算结果
Gravitational potential energy in Joules
110,000,000.00
Elevated mass in kilograms
0.150,000.00
Local gravity in m/s² (Earth standard = 9.80665)
0.530
unit
Vertical displacement above reference datum in meters
0.15,000.00
计算结果 · Potential Energy (U)
49,033.25J
单位换算：
分步代入计算过程
01Canonical Law: U = m × g × h
02Given Inputs (Base Units): m = 500 kg, g = 9.8066, h = 10 m
03Solve for U (Potential Energy): U = 49,033.25 J
Near a planetary surface, gravitational potential energy U is the mechanical energy stored by elevating a mass m to height h against gravitational field strength g: U = m × g × h.
常见参考标准值
Earth Standard Gravity (g₀)9.80665 m/s²
CODATA sea-level reference acceleration
Lunar Surface Gravity1.625 m/s²
16.6% of Earth's gravitational field
Pumped-Storage Hydro (1 m³ @ 100m)1,000 kg → 980.7 kJ
0.272 kWh stored per cubic meter at 100m head
20 行数值对照表
Potential Energy (U) · Mass (m)
| # | Mass (kg) | Potential Energy (J) | Δ % |
|---|---|---|---|
| 01 | 0.1 kg | 9.8067 J | -99.98% |
| 02 | 500 kg当前 | 49,033.25 J | 0.00% |
| 03 | 776.4038 kg | 76,139.20 J | +55.28% |
| 04 | 1,164.56 kg | 114,203.90 J | +132.91% |
| 05 | 1,552.71 kg | 152,268.60 J | +210.54% |
| 06 | 1,940.86 kg | 190,333.30 J | +288.17% |
| 07 | 2,329.01 kg | 228,398.00 J | +365.80% |
| 08 | 2,717.16 kg | 266,462.70 J | +443.43% |
| 09 | 3,105.32 kg | 304,527.40 J | +521.06% |
| 10 | 3,493.47 kg | 342,592.10 J | +598.69% |
| 11 | 3,881.62 kg | 380,656.80 J | +676.32% |
| 12 | 4,269.77 kg | 418,721.50 J | +753.95% |
| 13 | 4,657.92 kg | 456,786.20 J | +831.58% |
| 14 | 5,046.07 kg | 494,850.89 J | +909.21% |
| 15 | 5,434.23 kg | 532,915.59 J | +986.85% |
| 16 | 5,822.38 kg | 570,980.29 J | +1064.48% |
| 17 | 6,210.53 kg | 609,044.99 J | +1142.11% |
| 18 | 6,598.68 kg | 647,109.69 J | +1219.74% |
| 19 | 6,986.83 kg | 685,174.39 J | +1297.37% |
| 20 | 7,374.99 kg | 723,239.09 J | +1375.00% |
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常见问题解答 (FAQ)
如何使用在线 重力势能 (U = mgh) 计算器 工具？+
输入已知参数或拖动滑块，即可在浏览器中实时计算并可视化 重力势能 (U = mgh) 计算器（基于关系式 U = m × g × h）。利用 U = m × g × h 求解重力势能、物体质量、重力加速度或相对高度。
可以导出或打印 重力势能 (U = mgh) 计算器 的结果吗？+
可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。
我可以清空 重力势能 (U = mgh) 计算器 中的示例数据并从空白状态开始吗？+
可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项，随时也可一键重新加载示例数据。