How does relativity affect simultaneity in a frame of reference?

AI Thread Summary
Relativity significantly impacts the concept of simultaneity within a frame of reference, as demonstrated by the scenario of simultaneous explosions occurring at equal distances from an observer. When events happen simultaneously in one frame, they may not appear simultaneous in another due to differences in distance and light travel time. For instance, if an observer is closer to one explosion, the light from that event will reach them first, despite both explosions occurring at the same time in their frame. This highlights the relativity of simultaneity, emphasizing that time and space are interconnected in ways that can alter perceptions of simultaneous events. Understanding these principles is crucial for grasping the implications of Einstein's theory of relativity.
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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?
 
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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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