Relativity of Simultaneity (and Lorentz transformation)

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SUMMARY

The discussion focuses on the relativity of simultaneity and the application of Lorentz transformations in special relativity. Participants seek clarity on calculating the time light from event R reaches a rocket in its frame, emphasizing the importance of length contraction. Additionally, the discussion highlights the need to express events L and R in the form (x,t) within Mr. Bean's frame before applying the Lorentz transformations to determine their coordinates in the rocket frame.

PREREQUISITES
  • Understanding of special relativity concepts, including simultaneity and length contraction.
  • Familiarity with Lorentz transformations and their mathematical formulation.
  • Basic knowledge of event coordinates in spacetime (x,t) representation.
  • Ability to interpret and manipulate equations related to physics problems.
NEXT STEPS
  • Study the derivation and application of Lorentz transformations in detail.
  • Explore examples of length contraction in various frames of reference.
  • Practice problems involving the relativity of simultaneity with worked solutions.
  • Investigate the implications of simultaneity in different inertial frames in special relativity.
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in understanding the implications of simultaneity and Lorentz transformations in relativistic contexts.

Oshada
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Homework Statement



24peyrt.jpg


Homework Equations



http://upload.wikimedia.org/math/7/8/1/78195e8f63116bf11b2bbef574fbcc25.png

The Attempt at a Solution



I'm not entirely sure how to use the equations; a worked example would be very helpful!
 
Physics news on Phys.org
(i) Can you find the time in which light from event R reaches the rocket in the rocket frame? (Remember length contraction)

(ii) How can you express the events L & R (in Mr.Bean's frame) in the form (x,t) using the information given? If you can do this, you simply need to substitute these coordinates into the Lorentz transforms to get the coordinates in the rocket frame.
 

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