How Fast Must You Travel to See Light Pulses Simultaneously?

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SUMMARY

The discussion centers on determining the velocity required for two light pulses, emitted 5 km apart and separated by 5 µs, to appear simultaneous from a moving inertial frame. The solution involves applying principles from special relativity, specifically the Lorentz transformation. Participants emphasize the importance of visualizing the problem through a space-time diagram to clarify the relationship between the pulses and the observer's frame of reference.

PREREQUISITES
  • Understanding of special relativity concepts
  • Familiarity with Lorentz transformations
  • Ability to interpret space-time diagrams
  • Basic knowledge of light propagation and speed
NEXT STEPS
  • Study the Lorentz transformation equations in detail
  • Learn how to construct and analyze space-time diagrams
  • Explore the implications of simultaneity in different inertial frames
  • Investigate real-world applications of special relativity in physics
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in the implications of relativistic effects on simultaneity and light propagation.

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Homework Statement


In a certain inertial frame two light pulses are emitted a distance 5 km apart and separated by 5 µs. As observed from another frame, which is traveling parallel to the line joining the points where the pulses are emitted at a velocity v with respect to this frame, the pulses are simultaneous. Find v.

Homework Equations

The Attempt at a Solution


i know this should be very simple, but i am so stuck!
 
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You need to make more of an effort before we can help. What have you tried? Try drawing a space-time diagram of the situation, showing the light pulses.
 

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