恢复系数两种定义等价性的证明

Prove the Equivalence of Two Definitions of Restitution Coefficient

恢复系数的一种定义为恢复冲量与压缩冲量大小之比,另一种定义为碰后与碰前的法向相对速度大小之比,即牛顿公式.本文证明了在物体碰撞时这两种定义是等价的.

One of the definitions of Coefficient of restitution is the ratio of impulse of restitution to impulse of compression. The other is the ratio of the normal relative velocity before to after the impact.In this article, the two definitions have been proved to be equal during the impact of body.