大学物理 ›› 2025, Vol. 44 ›› Issue (5): 112-.doi: 10.16854/j.cnki.1000-0712.240322

• 大中衔接 • 上一篇    下一篇

人教版教材中一验证动量守恒实验装置的系统误差分析

李梅,王  峰,姜兵,邵  云*   

  1. 1. 南京市秦淮区教师发展中心,江苏 南京210000;2. 南京市第五高级中学,江苏 南京210005;
    3. 江苏省南通市海门实验学校,江苏 南通226100;4. 南京晓庄学院 电子工程学院,江苏 南京211171
  • 收稿日期:2024-07-14 修回日期:2024-12-02 出版日期:2025-07-01 发布日期:2025-08-08
  • 作者简介:李梅(1984—),女,江苏南京人,南京市秦淮区中学物理研训员,主要从事物理学科研训和支持教师专业发展工作.
  • 基金资助:
    江苏省中小学教学研究第十四期课题(2021JY14-L384)资助

Systematic error analysis of an experimental device for verifying the #br# conservation of momentum in the text book of the Peoples Education Press#br#

LI Mei1,WANG Feng2,JIANG Bing3,SHAO Yun4   

  1. 1. Qinhuai District Teacher Development Center, Nanjing, Jiangsu 210000, China;
    2. Nanjing Fifth Senior High School, Nanjing, Jiangsu 210005, China;
    3. Nantong Haimen Experimental School, Nantong, Jiangsu 226100, China;
    4. School of Electronic Engineering, Nanjing Xiaozhuang University, Nanjing, Jiangsu 211171, China
  • Received:2024-07-14 Revised:2024-12-02 Online:2025-07-01 Published:2025-08-08

摘要: 文章针对新版人教版选择性必修一教材中的研究斜槽末端小球碰撞时的动量守恒实验装置,分入射小铁球与轨道槽底接触与不接触这两种情况,推导出小铁球在与槽端静止的小玻璃球碰撞后的边滚边滑运动后,其出水平槽口速度的相对增加量(相对于没有摩擦力的理想情形),以及由此给本动量守恒实验所带来的系统相对误差.理论计算结果均表明,这两者的数值均普遍较大,其中当入射小铁球与轨道槽底不接触时,这两者的数值更大.入射小铁球与轨道槽底不接触的实验误差结果与相应的理论误差结果大致吻合,两者均显示出新版教材上的这个实验装置确实存在较大的系统误差,建议替换为市场上在售的完整的碰撞实验器装置为宜,经测后者的实测相对误差仅在±2%以内.

关键词: 人教版教材, 动量守恒实验装置, 系统误差, 轨道槽, 滑动摩擦力

Abstract: The article focuses on the experimental setup for momentum conservation during the collision of two small balls at the end of an inclined groove in the latest version of the Peoples Education Press Selective Compulsory One textbook. It is divided into two cases: when the incident small iron ball contacts or does not contact the bottom of the track groove, and derives the relative increase in the velocity of the small iron ball exiting the horizontal groove after rolling and sliding motion after colliding with a small stationary glass ball at the groove end (relative to the ideal case without friction), as well as the system relative error for this momentum conservation experiment. Theoretical calculation results indicate that the values of both are generally large, with larger values observed when the incident small iron ball is not in contact with the bottom of the track groove. The experimental error results for the incident small iron ball not contacting the bottom of the track groove are roughly consistent with the corresponding theoretical error results, both of which show that there is indeed a significant systematic error in this experimental device in the latest version of the textbook. It is recommended to replace it with a complete collision experimental device available on the market, which has been tested to have a relative error of only ±2%.

Key words: Peoples Education Press textbooks, momentum conservation experimental apparatus, systematic error, track groove, sliding friction