Abdullahi, Musa Daji
June 14, 2015
Acceleration, mass, rectilinear and circular motion, special relativity, speed
The result of Rogers’ experiment with electrons made to revolve in circular orbits at definite speeds, can be explained as due to accelerating force, exerted by an electric field on an electron, perpendicular to the direction of motion, decreasing with speed and reducing to zero at the speed of light c. Consider an electron of charge –e and mass m revolving in a circle of radius r with speed v in a radial electric field of magnitude E. In classical electrodynamics, the electrostatic force or impressed force, –eE, is equal to the centripetal force, –mv^2/r, which makes r = mv^2/eE. As observed in cyclic accelerators, the radius r tending to become infinitely large at the speed of light (v = c) means that either m increases with speed to become infinitely large at the speed of light, in accordance with relativistic electrodynamics or E decreases with speed to become zero at the speed of light, in accordance with an alternative electrodynamics. The alternative explanations leads to the speed light c being the ultimate limit with mass of a moving particle remaining constant.