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The Law of Inertia: How Understanding its History can Improve Physics Teaching

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Abstract

The law of inertia is a problem in teaching due to the impossibility of showing the proposition experimentally. As we cannot do an experiment to verify the law, we cannot know if it is correct. On the other hand, we know that the science based upon it is successful. A study in the history of mechanics has shown that there are different foundations for the law but also that the law plays the same role in the science since Newton. To avoid a statement of which we cannot be sure, the present paper proposes to understand the law through its function in the theory. In this case, we do not have to say how a free body moves, but rather that the rectilinear and uniform motion is the motion of reference in Newtonian mechanics.

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References

  • d’Alembert J.: 1758, Traité de Dynamique 2nd edn, Paris. Johnson Reprint Corporation, New York, London, 1968 (rep.).

  • Alonso M., Finn E.J. (1992). Physics. Addison-Wesley, Wokingham

    Google Scholar 

  • Becker R.A. (1954). Introduction to Theoretical Mechanics. McGraw-Hill, New York, London, Toronto

    Google Scholar 

  • Benenson W., Harris J.W., Stocker H., Lutz H. (2001). Physics. Springer, New York (Trans. from German)

    Google Scholar 

  • Bergmann, L. & Schaefer, C.: 1990, Lehrbuch der Experimentalphysik, Vol. I, Mechanik, Akustik, Wärme 10th edn, de Gruyter, Berlin, New York.

  • Blatt F.J. (1989). Principles of Physics 3 edn. Allyn and Bacon, Boston, London

    Google Scholar 

  • Budó Á. (1974). Theoretische Mechanik 7 edn. VEB Deutscher Verlag der Wissenschaften, Berlin

    Google Scholar 

  • Carnot, L.: 1803, Principes fondamentaux de l’équilibre et du mouvement, Paris.

  • Coelho R.L. (2001). Zur Konzeption der Kraft der Mechanik. Waxmann, Münster, New York

    Google Scholar 

  • Coriolis, G.: 1844, Traité de la Mécanique des corps solides et du calcul de l’effet des machines, 2nd edn, Paris.

  • Cutnell J.D., Johnson K.W. (1997). Physics, Vol. 1 4th edn. J. Wiley & Sons, New York Chichester Weinheim

    Google Scholar 

  • Daniel H. (1997). Physik, Vol 1. Mechanik, Wellen, Wärme de Gruyter, Berlin, New York

    Google Scholar 

  • Demtröder W. (2003). Experimentalphysik, Vol. 1, Mechanik und Wärme 2nd edn. Springer, Berlin, Heidelberg New York

    Google Scholar 

  • Eddington A. (1943). The Nature of the Physical World, Macmillan. Cambridge Univ. Pr., New York, Cambridge

    Google Scholar 

  • Erikson H.A. (1936). Elements of Mechanics. McGraw-Hill, New York, London

    Google Scholar 

  • Euler, L.: 1736, Mechanica sive motus scientia analityce exposita, Saint-Pétersbourg.

  • Euler, L.: 1750 (1752), ‘Découverte d’un nouveau principe de Mecanique’, Mémoires de l’académie des sciences de Berlin 6, 185–217. Opera Omnia, serie II, Vol. 5, pp. 81–108.

  • French A.P. (1971). Newtonian Mechanics. W. W. Norton, New York, London

    Google Scholar 

  • Galili I., Tseitlin M. (2003). Newton’s First Law: Text, Translations, Interpretations and Physics Education. Science & Education 12:45–73

    Article  Google Scholar 

  • Gerthsen C. (2004). Physik, 22nd ed. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Halliday D., Resnick R., Walker J. (1997). Fundamentals of Physics 5th ed. John Wiley, New York

    Google Scholar 

  • Hänsel H., Neumann W. (1993). Physik: Mechanik und Wärmelehre. Spektrum Akademischer Verlag, Heidelberg, Berlin Oxford

    Google Scholar 

  • Hanson N.R. (1963). The Law of Inertia: A Philosopher’s Touchstone. Philosophy of Science 30:107–121

    Article  Google Scholar 

  • Hering E., Martin R., Stohrer M. (2002). Physik für Ingenieure, 8th ed. Springer, Berlin

    Google Scholar 

  • Hertz H. (1894). Die Prinzipien der Mechanik in neuem Zusammenhange dargestellt. J. A. Barth, Leipzig

    Google Scholar 

  • Jacobi, C.G.J.: 1847/48, in H. Pulte (ed.), Vorlesungen über analytische Mechanik Berlin 1847/48, Vieweg, Braunschweig, Wiesbaden, 1996.

  • Lange L. (1885a). Ueber die Wissenschaftliche Fassung des Galilei’schen Beharrungsgesetzes. Philosophische Studien 2:266–297

    Google Scholar 

  • Lange L. (1885b). Ueber das Beharrungsgesetz. Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig 37:333–351

    Google Scholar 

  • Lange L. (1885c). Nochmals über das Beharrungsgesetz. Philosophische Studien 2:539–545

    Google Scholar 

  • Lange L. (1902). Das Inertialsystem vor dem Forum der Naturforschung. Philosophische Studien 20:1–71

    Google Scholar 

  • Laplace, P. S.: 1799, Traité de Mécanique Céleste, Vol. I, Paris. Culture et Civilisation, Brussell, 1967 (rep.).

  • Leisi H.J. (1996). Klassische Physik, Vol 1, Mechanik, Birkhäuser. Basel, Boston, Berlin

    Google Scholar 

  • Mach, E.: 1872, Die Geschichte und die Wurzel des Satzes von der Erhaltung der Arbeit, Barth, Leipzig, 1909 (second rep.).

  • Mach E. (1933). Die Mechanik in ihrer Entwicklung, 9th edn. Brockhaus, Leipzig

    Google Scholar 

  • Neumann C. (1870). Ueber die Principien der Galilei-Newtonschen Theorie, Teubner, Leipzig

    Google Scholar 

  • Neumann C. (1910a). Über den Körper Alpha. Berichte Über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig 62:69–86

    Google Scholar 

  • Neumann C. (1910b). Nachtrag zu dem Aufsatz über den Körper Alpha. Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaft zu Leipzig 62:383–385

    Google Scholar 

  • Newton, I.: 1726, in A. Koyré & I. B. Cohen (eds.) Isaac Newton’s Philosophiae Naturalis Principia Mathematica, 3rd edn, Harvard Univ. Press, 1972

  • Newton I. (1999). The Principia: Mathematical Principles of Natural Philosophy. University of California Press, Berkeley (new trans. by I. B. Cohen & A. Whitman)

    Google Scholar 

  • Kirchhoff G. (1897). Vorlesungen über Mathematische Physik, Vol I, 4th edn. Teubner, Leipzig

    Google Scholar 

  • Nielsen J. (1935). Vorlesungen über elementare Mechanik. Springer, Berlin (trans. by W. Fenchel)

    Google Scholar 

  • Nolting W. (2005). Grundkurs: Theoretische Physik, Vol. 1, Klassische Mechanik, 7th edn. Vieweg, Braunschweig, Wiesbaden

    Google Scholar 

  • Planck M. (1916). Einführung in die Allgemeine Mechanik. S. Hirzel, Leipzig

    Google Scholar 

  • Poincaré H. (1897). Les Idées de Hertz sur la Mécanique. Revue Générale des Sciences 8:734–743

    Google Scholar 

  • Poisson S.D. (1833). Traité de Mécanique. Bachelier, Paris

    Google Scholar 

  • Reech F. (1852). Cours de Mécanique d’après la nature généralement flexible et élastique des corps. Carilian-Goeury et Vor Dalmont, Paris

    Google Scholar 

  • Riemann, B.: 1876, in H. Weber (ed.) Bernhard Riemann’s Gesammelte mathematische Werke und wissenschaftlicher Nachlass, Teubner, Leipzig.

  • Schaefer C. (1962). Einführung in die Theoretische Physik, Vol 1, 6th edn. de Gruyter, Berlin

    Google Scholar 

  • Scobel W., Lindström G., Langkau R. (2002). Mechanik, Fluiddynamik und Wärmelehre, 2nd edn. Springer, Berlin Heidelberg

    Google Scholar 

  • Sears and Zemansky 2004 (see Young).

  • Serway R.A. (1997). Physics: for Scientists and Engineers with Modern Physics. Saunders College, Philadelphia

    Google Scholar 

  • Sommerfeld A. (1947). Vorlesungen über theoretische Physik, Vol I, Mechanik, 3rd edn. Akad. Verl. Geest & Portig, Leipzig

    Google Scholar 

  • Streintz H. (1883). Die physikalischen Grundlagen der Mechanik. Teubner, Leipzig

    Google Scholar 

  • Thomson W., Tait P.G. (1890). Treatise on Natural Philosophy, Part I. Cambridge University Press, Cambridge

    Google Scholar 

  • Voigt W. (1901). Elementare Mechanik, Veit & Comp., Leipzig

    Google Scholar 

  • Wilson J., Buffo A. (1997). College Physics, 3rd edn. Prentice Hall, NJ

    Google Scholar 

  • Young H.D., Freedman R.A., Sears F. (2004). Sears and Zemansky’s University Physics, 11th edn. P. Addison-Wesley, San Francisco

    Google Scholar 

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  1. Faculty of Science, University of Lisbon, Campo Grande c5, P-1749-016, Lisbon, Portugal

    Ricardo Lopes Coelho

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  1. Ricardo Lopes Coelho
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Coelho, R.L. The Law of Inertia: How Understanding its History can Improve Physics Teaching. Sci & Educ 16, 955–974 (2007). https://doi.org/10.1007/s11191-006-9042-x

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