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- W2607868344 abstract "In this paper, the vertical motion of a particle is reinvestigated taking into account the mass variation in the Special Theory of Relativity. The relativistic form of Newton second law of motion and Newtonian gravitational force are used to analyze the motion of the particle. Some famous phenomena such as the escape velocity, decaying of muons, and the propagation of light from the Earth to the Moon and from the Earth to the Sun are successfully interpreted using our results. It is showed that the relativistic escape velocity from the Earth’s surface is numerically identical to that in classical mechanics. However, it is also indicated that the classical formula is no longer valid to predict the escape velocity from the surface of bodies with very large radii or those with very large masses. For super massive black holes with masses ranging from 10 6 to 10 10 times the mass of the Sun, the range of the escape velocity is found from 0.9929c to approximately the speed of light c. Moreover, our results reveal that a beam of a light may take 1.25 seconds and 8.27 minutes, respectively, to travel from the Earth’s surface to the Moon’s surface and the Sun’s surface, vise versa, i.e., regardless the direction of propagation. The present study is of a scholarly nature and intended for undergraduate physics teachers and for graduate students." @default.
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- W2607868344 date "2012-01-01" @default.
- W2607868344 modified "2023-09-27" @default.
- W2607868344 title "Notes on the Vertical Motion of a Particle in the Special Theory of Relativity" @default.
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