论文标题

恢复系数:牛顿实验定律的衍生。

Coefficient of restitution: Derivation of Newtonś Experimental Law from general energy considerations

论文作者

Marchewka, Avi

论文摘要

为了描述两个物体碰撞后的速度,牛顿开发了一种现象学方程,称为“牛顿的实验定律”(NEL)。通过这种方式,他实际上绕过了涉及两个尸体碰撞期间力量细节的并发症。今天,我们将NEL与动量保护一起使用,以预测碰撞后的每个体速度。的确,这避免了了解碰撞所涉及的力的复杂性,使NEL非常有用。尽管在牛顿时代,动能的数量尚不清楚,但如今,它正在使用的基本数量。在本文中,我们将在碰撞中使用动能的损失(或增益)来显示如何得出NEL。

In order to describe the velocity of two bodies after they collide, Newton developed a phenomenological equation known as "Newton\' s Experimental Law" (NEL). In this way, he was able to practically bypass the complication involving the details of the force that occurs during the collision of the two bodies. Today, we use NEL together with momentum conservation to predict each bodyś velocity after collision. This, indeed, avoids the complication of knowing the forces involved in the collision, making NEL very useful. Whereas in Newtonś days the quantity of kinetic energy was not known, today it is a basic quantity that is in use. In this paper we will use the loss (or gain) of kinetic energy in a collision to show how NEL can be derived.

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