巧用碰撞恢复系数兼谈命题的合理性ON INGENIOUS APPLICATIONS OF THE COEFFICIENT OF RESTITUTION AND DISCUSSION ON THE RATIONALITY OF PROPOSITIONS
肖新瑜,刘协权,倪新华,李牧
摘要(Abstract):
利用碰撞恢复系数求解碰撞问题,相比习惯性的用能量守恒定律的求解过程,用碰撞恢复系数处理碰撞问题更具优势:线性方程结果唯一,计算更便捷,适用范围更广,弥补了能量守恒仅能求解完全弹性碰撞问题的局限;能解决质点与质点、质点与刚体、刚体与刚体之间的正碰撞和斜碰撞等各种碰撞问题;同时利用碰撞恢复系数还可以快速判断碰撞问题的命题合理性,对不合理命题进行修正。希望借助碰撞恢复系数,加深学生对碰撞过程的理解,对教师自主命题的合理性也起借鉴作用。
关键词(KeyWords): 恢复系数;碰撞;运动状态;命题合理性
基金项目(Foundation): 教育部高等学校大学物理课程教学指导委员会2023年高等学校教学研究重点项目(DJZW2023ZD2)课题“承继前辈土木人的科学精神,做新时代有理想有能力,有担当的土木人(课题编号:DJZW202380)”;教育部高等学校大学物理课程教学指导委员会2023年高等学校教学研究项目(DJZW202325zn)课题“民办高校大学物理课程产教融合改革研究”;; 广州城市理工学院课程思政示范课程培育项目“材料力学(62/J2125030)”联合资助
作者(Author): 肖新瑜,刘协权,倪新华,李牧
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