What Is the Relative Speed of Two Bodies Moving Towards Each Other at C/2?

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SUMMARY

The relative speed of two bodies moving towards each other at C/2 is calculated using the relativistic velocity addition formula. According to this formula, the relative speed u' is given by u' = (u1 + v1)/(1 - u1*v1/c^2). Substituting u1 = C/2 and v1 = C/2 into the equation yields a relative speed of C/2 + C/2 divided by (1 - (C/2)*(C/2)/C^2), which simplifies to a value less than C, confirming that the classical view of C is incorrect in relativistic contexts.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the concept of velocity addition in physics
  • Knowledge of the speed of light (C) as a constant
  • Basic algebra for manipulating equations
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I have this question .

There are two bodies in space . Each are moving with a speed of C/2 towards each other . What is the relative speed of one body with respect to the other .

According to classical view it has to be C but in real it doesn't can any1 tell me how to find the answer .:rolleyes:
 
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u' = (u1 + v1)/(1 - u1*v1/c^2) where u1, v1 are velocities... this reduces to u' = u1 + v1 classically. substitute u1 = c/2, u2 = c/2, etc. and you have your answer.
 

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