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Unintended consequences of imprecise notation: An example from mechanics
1. Daniel W. Welch, “Using paradoxes,” Am. J. Phys. 48, 629–632 (1980).http://dx.doi.org/10.1119/1.12039
2. Stephen Thornton and Jerry B. Marion, Classical Dynamics of Particles and Systems, 5th ed. (Brooks/Cole, Independence, KY, 2004), Section 7.8, p. 258.
3. Herbert Goldstein, Charles P. Poole, and John L. Safko, Classical Mechanics, 3rd ed. (Addison Wesley, San Francisco, 2002).
4.It is worth noting that this discrepancy in the values for in the two formalisms is present even for the case with a nonzero potential ; it is simply more obvious when the potential is zero.
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