How does relativity affect simultaneity in a frame of reference?

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SUMMARY

This discussion centers on the concept of simultaneity in the context of Einstein's theory of relativity. The key equations involved are L=sqrt(1-(v/c)^2)*l and t=T/sqrt(1-(v/c)^2), which describe length contraction and time dilation, respectively. The participant clarified that events occurring simultaneously in one frame, such as explosions at equal distances from an observer, can appear non-simultaneous when considering light travel time from different distances. This illustrates the relativity of simultaneity, a fundamental aspect of special relativity.

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  • Understanding of Einstein's theory of relativity
  • Familiarity with the concepts of length contraction and time dilation
  • Knowledge of the speed of light (c) and its implications in physics
  • Basic algebra for manipulating equations
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Homework Statement


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Homework Equations


L=sqrt(1-(v/c)^2))*l
t=T/sqrt(1-(v/c)^2)

The Attempt at a Solution


I'm having a hard time approaching this question. could someone tell me how to approach this question.

NOT ASKING FOR ANSWER.

never mid guys i got it. i forgot to read it happens in the same frame so t=0 correct?
 
Last edited:
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Yup, because the explosions happen simultaneously in Mark's frame and because they occur at equal distances from him.

If the explosions were simultaneous in his frame but he was closer to one planet than to the other, the light from one would reach him earlier than the light from the other planet just because it had less travel time to reach him.
 

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