A one-map two-clock approach to teaching relativity in introductory physics

Details A one-map two-clock approach to teaching relativity in introductory physics A one-map two-clock approach to teaching relativity in introductory physics

1996-11-13

arxiv.org/abs/physics/9611011v3

Physics

Physics Education

10 pages (1 fig, 3 tables) RevTeX; classroom-focus improved; also http://www.umsl.edu/~fraundor/a1toc.html

Scientific paper

This paper presents some ideas which might assist teachers incorporating special relativity into an introductory physics curriculum. One can define the proper-time/velocity pair, as well as the coordinate-time/velocity pair, of a traveler using only distances measured with respect to a single ``map'' frame. When this is done, the relativistic equations for momentum, energy, constant acceleration, and force take on forms strikingly similar to their Newtonian counterparts. Thus high-school and college students not ready for Lorentz transforms may solve relativistic versions of any single-frame Newtonian problems they have mastered. We further show that multi-frame calculations (like the velocity-addition rule) acquire simplicity and/or utility not found using coordinate-velocity alone.

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