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Exploration of Billiards Hitting Problem Based on Collision Model
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WANG Xinguang1*,ZHANG Chenbin2,TU0 Zhongyao2, CHEN Wei1
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1.College of Seience,Nanjing [iniversity af Posts and Telecommunications, Nanjing 210023, China;2.college af Aulomation &Colege of Artifeial intelligenee , Nanjing University of Posts and Teleeommunieations,Nanjing 210023 ,China
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Abstract
Billiards is a sport full of strategy and skill. During the entire process of a single strke ,the collisionbehween the cue and the white ball, the collision between the white ball and the target ball, as well as theeollision between the white ball and the edge of the table can be approximately regarded as ideal perfectlyelastie collisions. For these three seenarios , ideal physical models for billiards collisions and movements areestablished,Based on physical prineiples such as the momentum theorem, the law of roation, the law ofeonservation of momentum ,and the law of conservation of mechanical energy , this exploration delves into therelationship between the foree applied when the cue strikes the white ball, the angle of collision between thewhite ball and the target ball, and the final orientation of the white ball, and conduct analysis to providetheoretical referenee for improving hiting efieieney.By using the example of billiards collision molion ,studentscan gain a deeper understanding of physical laws and their applications ,and stimulate their interest in learningand innovative thinking.
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Published: 25 February 2025
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