基于Mathematica的对心碰撞现象动态仿真  

Dynamic Simulation of the Central Collision Phenomenon Based on Mathematica

作　　者：成立贤 李明洋 王佳 顾吉林[1] CHENG Lixian;LI Mingyang;WANG Jia;GU Jilin(School of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China)

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《大学物理实验》2024年第5期107-112,共6页Physical Experiment of College

基　　金：2021年辽宁省普通高等教育本科教学改革研究项目一般项目(辽教办[2021]254号);2023年辽宁师范大学教育教学改革研究(教学方法改革类)重点项目(LSJGJXFF202303)。

摘　　要：对心碰撞是碰撞的理想化模型,是经典力学中的重要内容之一。本研究借助Mathematica这一功能强大的编程软件,对对心碰撞这一重要知识点展开了研究,基于经典力学中的相关公式,对其中的完全弹性碰撞、完全非弹性碰撞、非完全弹性碰撞以及常见的三个类碰撞模型—子弹模型、弹簧模型、板块模型均做了精确的动态模拟,考虑了物体形状的影响,制作出了一系列生动形象的动态效果图,并在图中展示了速度等关键物理量的实时变化,有助于学习者建立清晰的物理图像,加强对对心碰撞现象的理解,丰富了物理教学的数字资源库。同时,本文也展现了Mathematica这一编程软件在物理教学资源开发方面的广阔发展前景。Central collision represents an idealized model of collision and constitutes one of the critical contents within classical mechanics.With the aid of Mathematica,a potent programming software,this study undertook an exploration of the significant knowledge point regarding colliding hearts.Grounded in the relevant formulas within classical mechanics,all three collision-like models-the full elastic collision,the full inelastic collision,and the incomplete elastic collision,along with the bullet model,the spring model,and the plate model-were precisely simulated.A succession of vivid dynamic renderings were generated,taking into account the influence of the object’s shape,and the real-time fluctuations of key physical quantities such as velocity were presented in the figure.It proves beneficial for learners to establish distinct physical images,enhance their comprehension of the phenomenon of heart collision,and enrich the digital resource library of physics teaching.Concurrently,It also showcases the extensive development prospects of Mathematica programming software in the development of physics teaching resources.

关 键 词：对心碰撞 MATHEMATICA 类碰撞 数字资源开发 动态模拟 

分 类 号：O4-39[理学—物理]