约翰·伯努利对弹性碰撞的分析（一个引入由此启发的动力学定律的教学序列）

中文摘要 AI 辅助

为了解释弹性碰撞，约翰·伯努利考虑了由弹簧连接的两个物体。运动被定义为一系列静止状态的连续。然后，将弹簧视为两端各有一个物体的杠杆，平衡定律意味着“运动”由物体（共同）运动量随时间的变化来描述；由此推导出动力学定律。这启发了一个在物理入门课程中引入（一维）动力学定律的教学序列；我们称之为“伯努利序列”。

英文摘要

In order to explain an elastic collision, Johann Bernoulli considered two bodies connected by a spring. Motion is defined as a succession of states of rest. Then, considering the spring to be a lever with a body at each extremity, the laws of equilibrium imply that `motion' is described by the time variation of the (common) quantity of motion of the bodies; the dynamic law is thus deduced. This inspires a teaching sequence to introduce the dynamic law (in one dimension) in introductory physics course; we call it ``bernoullian sequence''.

发表机构

• Instituto de Física, Universidade Federal do Rio de Janeiro（里约热内卢联邦大学物理研究所）

机构由 AI 辅助整理，请以论文原文为准。