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。
Standard collision examples
标准碰撞示例
Development of equations
方程的建立
Elastic vs Inelastic
弹性 vs 非弹性
Index

Collision concepts
索引 碰撞概念
 
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Head-on Elastic Collisions, Target at Rest

正面对撞弹性碰撞,目标静止
Conservation of momentum
动量守恒
Conservation of kinetic energy
动能守恒

To obtain expressions for the velocities after the collision, rewrite the above as:

Dividing these relationships gives
将这些关系式相除得到
which may be substituted into equation (2) above to obtain:
这可以代入上文的方程(2)以得到:

Note that these equations apply only to the case where the target is at rest.

Show more detail
显示更多细节


Elastic collisions, target at rest
弹性碰撞,目标静止
Standard examples, elastic collisions
标准例子,弹性碰撞
Calculation for headon case.
正面对撞情况的计算。
请注意,这些方程仅适用于目标静止的情况。
为获得碰撞后速度的表达式,将上述内容重写为:
Index

Collision concepts
索引 碰撞概念
 
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Velocities After Collision

碰撞后的速度
For head-on elastic collisions where the target is at rest, the derived relationship

may be used along with conservation of momentum equation

可以与动量守恒方程一起使用

to obtain expressions for the individual velocities after the collision.

为了获得碰撞后个体速度的表达式

These relationships may be used for any head-on collision by transforming to the frame of the target particle before using them, and then transforming back after the calculation. However, one may calculate the case for head-on collisions where both particles are moving with the relationships:

Calculation for headon case.
正面对撞情况的计算。
这些关系可以用于任何正面对撞的情况,通过先转换到目标粒子的参考系中再应用它们,计算完成后再转换回原参考系。然而,也可以直接利用这些关系来计算正面对撞的情况,其中两个粒子均在运动。
对于目标物静止的正碰弹性碰撞,推导出的关系式
Index

Collision concepts

Elastic collisions
索引 碰撞概念 弹性碰撞
 
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