Relative velocity of 2 particles

AI Thread Summary
To find the relative velocity of two particles emitted from a linear particle accelerator, one traveling at 0.5c and the other at 0.6c, relativistic velocity addition must be applied. The formula VPE = VPA + VAE can be used, but it requires adjustments for relativistic speeds. The discussion highlights a lack of depth in understanding relative velocity between two moving objects, as previous studies focused primarily on an object's speed relative to a stationary ground. Participants are encouraged to refer to resources like HyperPhysics for guidance on relativistic calculations. Understanding these principles is essential for accurately determining the relative speed of the two particles.
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Homework Statement



Two particles are emitted from opposite ends of a linear particle accelerator, one with a speed of 0.5 c and the other with a speed of 0.6 c, relative to the accelerator.

What is the relative speed of the two particles?


Homework Equations



VPE = VPA + VAE

The Attempt at a Solution


I understand that there is relative velocity between:
A particle to the accelerator (V [subscript] PA )
A particle to the other particle ( V [subscript] PP)

How would I continue?
We haven't gone in depth for Rel. vel. between two moving objects - only between an object and the ground, but that section was very brief.
 
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