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。

Impact Force from Falling Object

从坠落物体产生的力
Even though the application of conservation of energy to a falling object allows us to predict its impact velocity and kinetic energy, we cannot predict its impact force without knowing how far it travels after impact.
If an object of mass m=kg is dropped from height
h = m, then the velocity just before impact is
v = m/s. The kinetic energy just before impact is equal to its gravitational potential energy at the height from which it was dropped:

K.E. = J.

But this alone does not permit us to calculate the force of impact!

If in addition, we know that the distance traveled after impact is
d =m, then the impact force may be calculated using the work-energy principle to be
Average impact force = F = N.
若一个质量为 m=kg 的物体从高度 h=m 处下落,则撞击前的速率为 v=m/s。撞击前的动能等于其从下落高度处的引力势能:K.E.=J。但仅凭此无法计算撞击力!如果此外还知道撞击后物体移动的距离为 d=m,则可利用功-能原理计算出平均撞击力:平均撞击力 = F=N。
中文译文中的待填/计算数值依次对应:1:m 2:h 3:v 4:ke 5:d 6:f。实际数值以上方原输入框为准。

Note that the above calculation of impact force is accurate only if the height h includes the stopping distance, since the process of penetration is further decreasing its gravitational potential energy.

需要注意的是,上述冲击力的计算仅在高度h包括停止距离时才是准确的,因为穿透过程进一步减少了其重力势能。

The average impact force calculated here is the average over distance, which can be presumed to be proportional to, but not the same as, the average over time.

这里计算的平均冲击力是在距离上的平均值,可以假设它与时间上的平均值成正比,但并不相同。
尽管将能量守恒定律应用于下落物体可以预测其撞击速度和动能,但要预测其撞击力,必须知道物体撞击后移动的距离。
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HyperPhysics***** Mechanics
力学
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