Lorentz factor for particle moving at angle

AI Thread Summary
The discussion centers on the Lorentz factor in the context of relativistic velocities, specifically regarding the transformation of angles for a particle moving at an angle. A user questions why the Lorentz factor (γ) is applied to the denominator of u'y but not to u'x in the formula tanθ' = u'y / u'x. The response indicates that the application of γ follows from previously derived formulas. Understanding the derivation of these formulas is crucial for grasping the reasoning behind the application of the Lorentz factor. The conversation emphasizes the importance of foundational knowledge in relativity to comprehend these transformations.
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It's not a homework question, but I noticed on this webpage;

http://www.relativitycalculator.com/addition_relativistic_velocities.shtml

near the very bottom there is a section entitled, "What, therefore, would r & θ appear to be to an observor in relatively moving S'?"

Example 1

the formula then states:

tanθ' = u'y / u'x I understand why they're doing this. Though after this, can anyone explain the next part of the progression? Why have they applied a γ to the denominator of u'y but not to u'x ?

Thank you
 
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They're just applying the formulas derived in the previous section. Do you understand the derivation?
 
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