The problem of Conservation of Mechanical Energy in Hunan Physics Competition: "One problem with Multiple Solutions"
湖南省物理竞赛机械能守恒问题的“一题多解”

摘要

在物理竞赛中，试题往往具备多样性的解题方法，部分解法虽不直观，但解题效果奇佳。本文通过对湖南省物理竞赛真题的深入分析，展示了如何灵活运用机械能守恒定律解决竞赛中常见的机械能相关问题。此外，还运用拉格朗日方程、简谐振动和速度极限法解析物理竞赛中的题目，为竞赛师生提供另外一种思路解题，提升应对物理竞赛的能力。

Abstract

In the physics competition, the test questions often have a variety of problem-solving methods, some of the solutions are not intuitive, but the problem-solving effect is very good. This paper shows how to flexibly apply the law of conservation of mechanical energy to solve the common problems related to mechanical energy in the competition through the deep analysis of the physics contest in Hunan Province. In addition, the Lagrange equation, simple harmonic vibration and speed limit method are also used to analyze the problems in the physics competition, which provides another way for the teachers and students to solve the problems and improve the ability to cope with the physics competition.