动量守恒定律与机械能守恒定律的复合分析

The Composite Analysis of the Momentum Conservation Law and the Mechanical Energy Conservation Law

从动量守恒定律和机械能守恒定律出发,分别从定性和定量的角度讨论了不同倾角情况下物块从斜面上滑下的动能大小,对比研究了在惯性系和非惯性系中两定律的实际使用情况.通过解析推导与数值分析,得到了相同的结果,从而拓展了动量守恒定律与机械能守恒定律的使用范围.

Based on the momentum conservation law and the mechanical energy conservation law, the kinetic energy of an object sliding from an inclined plane was discussed under different inclination angles in both qualitative and quantitative ways, respectively. The practical application of the two theorems was studied in inertial and non-inertial systems contrastively. Through the analytical derivation and numerical analysis, the same results were obtained in two frames of reference, thus the range of application of the momentum conservation law and the mechanical energy conservation law was expanded, thereby.