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动量守恒定律 - Wikipedia

动量守恒定律

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动量守恒定律:如果物体系受到的合外力为零,则系统内各物体动量矢量和保持不变。

目录

[编辑] 数学表示

以用p表示动量,

\sum_{i=1}^N p_i = const.

或者

\frac{d}{dt} \sum_{i=1}^N p_i = 0

[编辑] 动量守恒定律应用条件

  • 动量守恒定律严格成立的条件是物体系受到的合外力为零。
  • 当系统内部的物体之间相互作用的内力远远大于外力,相对于内力,可以忽略外力,此时动量守恒定律近似成立。例如物体由于爆炸分割为多个小物体,此时爆炸产生的力远大于空气阻力。所以可视动量守恒。
  • 若在某一个方向上,和外力的分量为零,则该方向的动量守恒,即动量在该方向的分量和为零。

[编辑] 动量守恒定律的本质

动量守恒定律是空间平移不变性的表现。在狭义相对论中,动量能量结合在一起成为动量-能量四维矢量,动量守恒定律也与能量守恒定律一起结合为四维动量守恒定律。

[编辑] 动量守恒定律的意义

动量守恒定律与能量守恒定律角动量守恒定律是自然界的普遍规律,在微观粒子作高速运动(速度接近光速)的情况下,牛顿定律已经不适用,但是以上定律仍然适用。现代物理学研究中,动量守恒定律成为一个重要的基础定律。

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