Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版：英文原文完整保留，中文紧随对应单元；术语采用 v20260916 确认表，自动语义审校结果可追溯。

Elastic Potential Energy

弹性势能
Elastic potential energy is Potential energy stored as a result of deformation of an elastic object, such as the stretching of a spring. It is equal to the work done to stretch the spring, which depends upon the spring constant k as well as the distance stretched. According to Hooke's law, the force required to stretch the spring will be directly proportional to the amount of stretch.

Since the force has the form

由于力的形式

F = -kx

F = -kx（专名或术语）

then the work done to stretch the spring a distance x is

然后将弹簧拉伸距离x所做的功是

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显示详细信息
For spring constant k=N/m
and displacement x =m,
the potential energy = J.
对于弹簧常数 k = N/m 和位移 x = m，势能 = J。
中文译文中的待填/计算数值依次对应：1：k 2：x 3：pe。实际数值以上方原输入框为准。
You may enter data in any of the boxes. Then click on the active text for the quantity you wish to calculate. The values will not be forced to be compatible until you click on a quantity to calculate.
弹性势能是由于弹性物体的形变而储存的势能，例如弹簧的伸长。它等于将弹簧拉伸所做的功，该功取决于弹簧常数k以及拉伸的距离。根据胡克定律，拉伸弹簧所需的力与拉伸量成正比。您可以输入任意数据到任何框中。然后点击您希望计算的量的活性文本。直到您点击一个量进行计算，值不会被强制保持一致。
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Energy concepts
索引 能量概念
 
HyperPhysics***** Mechanics
力学
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Spring Potential Energy

弹簧势能
Since the change in Potential energy of an object between two positions is equal to the work that must be done to move the object from one point to the other, the calculation of potential energy is equivalent to calculating the work. Since the force required to stretch a spring changes with distance, the calculation of the work involves an integral.

The work can also be visualized as the area under the force curve:

功也可以被可视化为力曲线下的面积：
由于物体在两个位置之间的势能变化等于将物体从一个点移动到另一个点所必须做的功，因此计算势能等同于计算功。由于拉伸弹簧所需的力随距离变化，因此计算功涉及一个积分。
 Index

Energy concepts
索引 能量概念
 
HyperPhysics***** Mechanics
力学
R Nave
 Go Back
返回