Question

Deduce the relativistic velocity addition theorem. Show that it is consistent with Einstein’s second
postulate of special theory of relativity.

Answer 1

Deduce the relativistic velocity addition theorem. Show that it is consistent with Einstein’s second postulate of special theory of relativity.

• The unusual and unexpected effects of special relativity include the fact that time and space are not independent, mass cannot be accelerated to the speed of light, and object length varies when measured in moving reference frames.
• There is no preferred frame of reference because the laws of physics are the same in all inertial frames. Second postulate: Regardless of the speed of the source or observers, light moves through space at a constant speed, or c. The assumption that the speed of light, or c, is a constant regardless of the source's relative motion is known as the second postulate of special relativity.
• The Michelson-Morley experiment proved that the Earth's rotation around the Sun had no effect on the speed of light in a vacuum.
• The special theory of relativity is based on two fundamental tenets: that the speed of light should be constant in all inertial frames of reference and that the rules of physics should be independent of the uniform motion of such a frame.
• According to the second postulate of special relativity, no matter how quickly the source is moving or how quickly the observer is moving, the speed of light in empty space will always remain constant. When travelling at normal speeds, time dilation is barely noticeable; however, when nearing the speed of light, it becomes quite noticeable.

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