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2-动量的一个结论.md

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完全弹性碰撞的结论

$$ \begin{cases} m_{1}v_{1}+m_{2}v_{2}=m_{1}u_{1}+m_{2}u_{2} \\ \frac{1}{2}m_{1}v^2_{1}+\frac{1}{2}m_{2}v^2_{2} =\frac{1}{2}m_{1}u_{1}^{2}+\frac{1}{2}m_{2}u_{2}^{2} \end{cases} $$

$$ \begin{cases} u_{1}= v_{c}+\frac{m_{2}(v_{2}-v_{1})}{m_{1}+m_{2}}\\ u_{2}=v_{c}+\frac{m_{1}(v_{1}-v_{2})}{m_{1}+m_{2}} \end{cases} $$