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Resumen de Comparing Relativistic and Newtonian Motion Under a Constant Force Using Dimensional Analysis and Calculus

Marc Frodyma

  • Students have difficulty bridging the conceptual gap between Newtonian and relativistic physics, and, consequently, the teaching of special relativity has been discussed extensively in the literature. A comprehensive list of such references is too large to include, but a brief list is given. In this paper, the author presents several exercises, comparing Newtonian and relativistic solutions to one-dimensional motion of a mass M acted upon by a constant force F. Calculations include the speed, time, and distance of travel for which the Newtonian and relativistic predictions differ by a given percentage. Relativistic motion under a constant force has been discussed previously, but the present treatment has important differences, which will be described below.


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