Unformatted text preview: velocity v to the velocity c / n , we must use the addition of velocities formula above, which gives the light velocity relative to the ground to be: ( v + c / n )/(1 + v / nc ) Now, v is much smaller than c or c / n , so 1/(1 + v / nc ) can be written as (1  v / nc ), giving: ( v + c / n )(1  v / nc ) Multiplying this out gives v + c / n v / n 2v / n × v / c , and the last term is smaller than v by a factor v / c , so is clearly negligible. Therefore, the 1850 experiment looking for “aether drag” in fact confirms the relativistic addition of velocities formula! Of course, there are many other confirmations. For example, any velocity added to c still gives c . Also, it indicates that the speed of light is a speed limit for all objects, a topic we shall examine more carefully in the next lecture...
View
Full Document
 Fall '10
 DavidJudd
 Physics, Special Relativity, Light, Speed of light, Fizeau, C/n, velocities formula

Click to edit the document details