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The Pattern Efficiency of Energy Transfer Within the Newton's Cradle and Its Practical Usage

Received: 15 April 2021    Accepted:     Published: 4 June 2021
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Abstract

In the modern society, the concept of “efficiency” has been emphasized in numerous areas, and is especially critical in discussing the transfer-efficiency of the energy generated. If the concept is not being emphasized in, it is likely that numerous severe consequences would be resulted, for instance, the kinetic energy received by drivers might be massive and even ultimately terminate their lives. The paper targets the factor that affects most in the inertial energy transfer of Newton’s Cradle used in the experiment as a subject, getting the information of the actual energy transfer efficiency within the cradle through recording video and locating the position of the balls on a graph paper, analysing the rebounded height level data quantitatively, obtaining the relevant parameters of Cradle such as the mass of the balls and the length of the strings as well as the diameter of the balls through direct measurement. Then, the calculation of the energy loss during the collision would be made and the regression model would be constructed. After that, taking advantage of the hypothesis testing method to testify the significance of the relevant parameter within the Newton’s Cradle model. Next, further modifications, which allows a simulation of the energy transfer efficiency of colliding process to be conducted, could be made and the most influencing factor for energy transferring would be revealed and thus find link with the car accident in the method of reducing the damage caused during the incidents.

Published in World Journal of Applied Physics (Volume 6, Issue 2)
DOI 10.11648/j.wjap.20210602.11
Page(s) 24-34
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Energy Transfer Efficiency, Collision, Newton’s Cradle, Linear Regression Data Analysis, Car Accident Scenario

References
[1] Pengfei, L and Boris, M. (2014) Multisoliton Newton’s cradles and supersolitons in regular and parity-time-symmetric nonlinear couplers. PHYSICAL REVIEW. [J] 2014 (89). p. 062926-1-062926-7. Available from: http://dx.doi.org/10.1103/PhysRevE.89.062926
[2] Paul, G. (2011) Two-ball Newton’s cradle. PHYSICAL REVIEW. [J] 2011 (84). p. 067201-1-067201-4. Available from: http://dx.doi.org/10.1103/PhysRevE.84.067201
[3] Anissofira, A, et al. (2017) Newton’s Cradle Experiment Using Video Tracking Analysis with Multiple Representation Approach. Journal of Physics: Conference Series. [J] 2017 (895). p. 012107-1-012107-5. Available from: https://doi.org/10.1088/1742-6596/895/1/012107
[4] Zehao, W. (2019) The research about the momentum equation and the loss of energy in collision. Modern Business Trade Industry [J] 2019 (10). p. 192-194. Available from: http://www.cnki.net
[5] Qian, R and Jincai, D. (2003) STUDY ON “NEWTON' S CRADLE” AND ITS APPLICATION. JOURNAL OF VIBRATION AND SHOCK. [J] 22 (3). p. 78-79, 97. Available from: http://www.cnki.net
[6] Chenghui, W, et al. (2017) Transmission of Momentum and Energy in the System of Newton′s Cradle. Physics Bulletin. [J] 2018 (6). P. 10-13. Available from: http://www.cnki.net
[7] Zhimin, P, et al. (2020) The research about the motion attenuation for Newton’s Cadle. PHYSICS TEACHER. [J] 41 (4). p. 56-62. Available from: http://www.cnki.net
[8] Herrmann, F and Schmalzle, P. (1981) Simple Explanation of a Well-known Collision Experiment. American Journal of Physics. [J] 49 (8). p. 761-764.
[9] Herrmann, F and Seitz, M. (1982) How does the ball-chain work. American Journal of Physics. [J] 50 (11). p. 977-981.
[10] Cross, R, et al. (2017) Multiple collisions of two steel balls in Newton's cradle. European Journal of Physics. [J] 2017. p. 1-16. Available from: https://doi.org/10.1088/1361-6404/aa916, http://dx.doi.org/10.1103/PhysRevE.84.067201
[11] Judith, E and David, G. (1997) Newton’s cradle and scientific explanation. The Physics Teacher. [J] 1997 (35). p. 411-417. Available from: http://dx.doi.org/10.1119/1.2344742
[12] David R, Alan V and Eugenia E 2009 Phys. Rev. Spec. Top.-Phys. Educ. Res. 5 1-13.
[13] Alan V 2001 Am J Phys [Internet]. vol; 69 (No. 11): 1139–46. Available from: http://dx.doi.org/10.1119/1.1399043
[14] LooK, Charles C, Giam H, Samuel T and Tat L 2012, Phys. Educ., vol. 47, no. 4, pp. 448–455.
[15] Jyoti B, Vandana S, Arbind J and O. S. K. S Sastri, 2015 Conference Paper.
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  • APA Style

    David Liu, Chenyu Liang. (2021). The Pattern Efficiency of Energy Transfer Within the Newton's Cradle and Its Practical Usage. World Journal of Applied Physics, 6(2), 24-34. https://doi.org/10.11648/j.wjap.20210602.11

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    ACS Style

    David Liu; Chenyu Liang. The Pattern Efficiency of Energy Transfer Within the Newton's Cradle and Its Practical Usage. World J. Appl. Phys. 2021, 6(2), 24-34. doi: 10.11648/j.wjap.20210602.11

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    AMA Style

    David Liu, Chenyu Liang. The Pattern Efficiency of Energy Transfer Within the Newton's Cradle and Its Practical Usage. World J Appl Phys. 2021;6(2):24-34. doi: 10.11648/j.wjap.20210602.11

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  • @article{10.11648/j.wjap.20210602.11,
      author = {David Liu and Chenyu Liang},
      title = {The Pattern Efficiency of Energy Transfer Within the Newton's Cradle and Its Practical Usage},
      journal = {World Journal of Applied Physics},
      volume = {6},
      number = {2},
      pages = {24-34},
      doi = {10.11648/j.wjap.20210602.11},
      url = {https://doi.org/10.11648/j.wjap.20210602.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20210602.11},
      abstract = {In the modern society, the concept of “efficiency” has been emphasized in numerous areas, and is especially critical in discussing the transfer-efficiency of the energy generated. If the concept is not being emphasized in, it is likely that numerous severe consequences would be resulted, for instance, the kinetic energy received by drivers might be massive and even ultimately terminate their lives. The paper targets the factor that affects most in the inertial energy transfer of Newton’s Cradle used in the experiment as a subject, getting the information of the actual energy transfer efficiency within the cradle through recording video and locating the position of the balls on a graph paper, analysing the rebounded height level data quantitatively, obtaining the relevant parameters of Cradle such as the mass of the balls and the length of the strings as well as the diameter of the balls through direct measurement. Then, the calculation of the energy loss during the collision would be made and the regression model would be constructed. After that, taking advantage of the hypothesis testing method to testify the significance of the relevant parameter within the Newton’s Cradle model. Next, further modifications, which allows a simulation of the energy transfer efficiency of colliding process to be conducted, could be made and the most influencing factor for energy transferring would be revealed and thus find link with the car accident in the method of reducing the damage caused during the incidents.},
     year = {2021}
    }
    

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    AU  - David Liu
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    Y1  - 2021/06/04
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    DO  - 10.11648/j.wjap.20210602.11
    T2  - World Journal of Applied Physics
    JF  - World Journal of Applied Physics
    JO  - World Journal of Applied Physics
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    SN  - 2637-6008
    UR  - https://doi.org/10.11648/j.wjap.20210602.11
    AB  - In the modern society, the concept of “efficiency” has been emphasized in numerous areas, and is especially critical in discussing the transfer-efficiency of the energy generated. If the concept is not being emphasized in, it is likely that numerous severe consequences would be resulted, for instance, the kinetic energy received by drivers might be massive and even ultimately terminate their lives. The paper targets the factor that affects most in the inertial energy transfer of Newton’s Cradle used in the experiment as a subject, getting the information of the actual energy transfer efficiency within the cradle through recording video and locating the position of the balls on a graph paper, analysing the rebounded height level data quantitatively, obtaining the relevant parameters of Cradle such as the mass of the balls and the length of the strings as well as the diameter of the balls through direct measurement. Then, the calculation of the energy loss during the collision would be made and the regression model would be constructed. After that, taking advantage of the hypothesis testing method to testify the significance of the relevant parameter within the Newton’s Cradle model. Next, further modifications, which allows a simulation of the energy transfer efficiency of colliding process to be conducted, could be made and the most influencing factor for energy transferring would be revealed and thus find link with the car accident in the method of reducing the damage caused during the incidents.
    VL  - 6
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Author Information
  • Civil Engineering Department, University of Toronto, Ontario, Canada

  • Wuhan British-China School, Wuhan, China

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