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大学物理实验, 2024, 37(5): 107-112     https://doi.org/10.14139/i.cnki.cn22-228.2024.05.021
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基于 Mathematica 的对心碰撞现象动态仿真
成立贤,李明洋,王 佳,顾吉林*
辽宁师范大学 物理与电子技术学院,辽宁 大连 116029
Dynamic Simulation of the Central CollisionPhenomenon Based on Mathematica
CHENG Lixian,LI Mingyang, WANG Jia, GU Jilin*
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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。

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成立贤
李明洋
王 佳
顾吉林
关键词:  对心碰撞  Mathematica  类碰撞  数字资源开发  动态模拟     
Abstract: 

Central collision represents an idealized model of collision and constitutes one of the critical contentswithin classical mechanies. With the aid of Mathematica, a potent programming software, this study undertook anexploration of the significant knowledge point regarding colliding hearts. Grounded in the relevant formulaswithin 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-wereprecisely simulated. A suecession of vivid dynamic renderings were generated, taking into account the influenceof the object’'s shape, and the real+ime fluctuations of key physical quantities such as velocity were presentedin the figure.lt 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.

Key words:  central collision    mathematica    collision-like    digital resource development    dynamie simulation
                    发布日期:  2024-10-25     
ZTFLH:  O 4-39  
引用本文:    
成立贤, 李明洋, 王 佳, 顾吉林. 基于 Mathematica 的对心碰撞现象动态仿真 [J]. 大学物理实验, 2024, 37(5): 107-112.
CHENG Lixian, LI Mingyang, WANG Jia, GU Jilin. Dynamic Simulation of the Central CollisionPhenomenon Based on Mathematica . Physical Experiment of College, 2024, 37(5): 107-112.
链接本文:  
http://dawushiyan.jlict.edu.cn/CN/10.14139/i.cnki.cn22-228.2024.05.021  或          http://dawushiyan.jlict.edu.cn/CN/Y2024/V37/I5/107
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