The discussion centers on calculating relative velocities in Special Relativity, specifically addressing the scenario with three objects: O, A, and B. The participants clarify that the formula for relative velocity in Special Relativity differs from the Newtonian approach. The correct formula for the relative velocity of A with respect to B is given by vAB = (vOB - vOA) / (1 - (vOB * vOA) / c2), where c represents the speed of light. The discussion emphasizes the necessity of using Special Relativity principles rather than Galilean ones when calculating these velocities.
PREREQUISITESStudents of physics, educators teaching Special Relativity, and anyone interested in understanding the complexities of relativistic motion and velocity calculations.
What results did you get? Why do they seem absurd?Quarlep said:In Special Relativity we have relative velocities formula I want to formule it but result seems absurd
You'll need to define your terms. (What is C, for example?)Quarlep said:VCB=VOB-VOC
You'll certainly need to add the velocities using special relativity, not Galilean relativity.Quarlep said:I thought like this But this is not true in special relativity.In special Relativity it like the relative formule for special relativity isn't it ?
But you said there were only 3 objects O, A and B, so there is no object C? I'm going to assume by "C" you mean "A", so, in Newtonian theory it would be<br /> v_{AB} = v_{OB} - v_{OA}.<br />Then in special relativity it is<br /> v_{AB} = \frac{ v_{OB} - v_{OA} } { 1 - \frac{ v_{OB} v_{OA} } {c^2} },<br />(provided all velocities are parallel).Quarlep said:VCB=VOB-VOC