How Does the Lorentz Transformation Affect Observed Velocity?

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SUMMARY

The Lorentz transformation is essential for understanding how velocities are perceived between different inertial frames in special relativity. In the discussed scenario, observer O' sees a body moving with a constant velocity Ux along the x' axis. To determine the velocity VxO of the body as observed by O, the relative velocity of observer O' with respect to O must be known. Without this critical piece of information, the problem remains unsolvable.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with Lorentz transformation equations
  • Knowledge of inertial reference frames
  • Basic concepts of velocity addition in relativistic contexts
NEXT STEPS
  • Study the Lorentz transformation equations in detail
  • Learn about relativistic velocity addition formulas
  • Explore examples of velocity observations in different inertial frames
  • Investigate the implications of time dilation and length contraction
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Students of physics, educators teaching special relativity, and anyone interested in the mathematical foundations of observed velocities in different inertial frames.

Camilla
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If an observer O' see a body that moves with constant velocity Ux along the axis x' in a positive direction. What is the velocity VxO of body observed by O?
That is all the information I have.
Can you help? :blushing:
 
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There's not enough information to solve that problem. You need to know the velocity of O' relative to O.
 

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