A well‐known collision experiment can be carried out with an arrangement of several elastic balls suspended in a horizontal row. As we have shown in a previous article a necessary condition for the observed, simple behavior of this arrangement during collision is that the perturbation propagates throughout the system without dispersion. In the present paper, we show that the arrangement can be described by a series of spatially separated masspoints and springs of a special type: the exponent of the force law of the springs is 1.5 according to a theory of H. Hertz. It follows that the first collision sequence of such an experiment is not completely dispersion free. Indeed, slight dispersion during the first collision sequence creates the conditions for the total absence of dispersion in all the subsequent collisions.
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November 1982
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November 01 1982
How does the ball‐chain work?
F. Herrmann;
F. Herrmann
Institut für Didaktik der Physik der Universitat Karlsruhe, Kaiserstrasse 12, 7500 Karlsruhe 1, West Germany
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M. Seitz
M. Seitz
Institut für Didaktik der Physik der Universitat Karlsruhe, Kaiserstrasse 12, 7500 Karlsruhe 1, West Germany
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Am. J. Phys. 50, 977–981 (1982)
Article history
Received:
July 23 1981
Accepted:
January 19 1982
Citation
F. Herrmann, M. Seitz; How does the ball‐chain work?. Am. J. Phys. 1 November 1982; 50 (11): 977–981. https://doi.org/10.1119/1.12936
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