教学讨论

关于物块碰撞次数的探讨

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  • 安徽信息工程学院通识教育与外国语学院,安徽芜湖241000
程军( 1989 —) ,男,安徽六安人,安徽信息工程学院通识教育与外国语学院副教授,博士,主要从事大学物理教学和固体发光研究 工作.

收稿日期: 2019-11-22

  修回日期: 2020-02-12

  网络出版日期: 2020-09-02

基金资助

安徽省高校学科( 专业) 拔尖人才学术资助项目( gxbjZD58) 、安徽省高等学校省级质量工程项目( 2019kfkc318) 资助

Discussion on the collision times between blocks

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  •  School of General Education and Foreign Studies,Anhui Institute of Information Technology,Wuhu,Anhui 241000,China

Received date: 2019-11-22

  Revised date: 2020-02-12

  Online published: 2020-09-02

摘要

 根据动量守恒定律和机械能守恒定律深入探讨了物块碰撞次数问题.特别是当物块质量的比值是100 的非负整数次方时,碰撞次数刚好和圆周率的前几位数字相同.利用速度相图将碰撞过程直观地描述出来,并结合理论推导解释了上述有趣的结果.

本文引用格式

程军, 孙辉 . 关于物块碰撞次数的探讨[J]. 大学物理, 2020 , 39(8) : 11 -13 . DOI: 10.16854 /j.cnki.1000-0712.190538

Abstract

Based on the conservation law of momentum and the conservation law of mechanical energy,the problem about the collision times between blocks is discussed in depth. Particularly,when the ratio of the mass between two blocks is nonnegative integer power of 100,collision times are just the same as the first few digits of circular constant. The velocity phase diagram is used to describe the collision process intuitively,and then the above

interesting result is explained by combining theoretical derivation.

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