How does relativity affect simultaneity in a frame of reference?

In summary, the equations for length and time in different frames are L=sqrt(1-(v/c)^2))*l and t=T/sqrt(1-(v/c)^2). The approach to the problem is to consider the explosions happening simultaneously in Mark's frame and the effect of distance on the arrival time of light from each planet.
  • #1
seto6
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0

Homework Statement


2l91ana.jpg

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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  • #2
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.
 

1. What is the concept of relativity simultaneity?

Relativity simultaneity is the idea that the concept of time is relative and can vary between different observers depending on their relative motion. This means that events that appear to happen simultaneously to one observer may not appear that way to another observer viewing the same events from a different perspective.

2. How does the theory of relativity explain simultaneity?

The theory of relativity explains simultaneity through the concept of space-time. According to this theory, space and time are not separate entities but are interconnected, and the passage of time can be affected by an object's speed and gravitational forces. This means that an event that appears simultaneous to one observer may occur at different times for another observer due to their relative motion and position in space-time.

3. Can two events be considered simultaneous in all frames of reference?

No, according to the theory of relativity, two events cannot be considered simultaneous in all frames of reference. The perception of simultaneity is relative and can vary between observers depending on their relative motion and position in space-time. Therefore, what may appear simultaneous to one observer may not appear that way to another observer in a different frame of reference.

4. How does the concept of relativity simultaneity affect our understanding of time?

The concept of relativity simultaneity challenges the traditional understanding of time as an absolute and universal concept. It suggests that time is relative and can differ between observers, depending on their relative motion and position in space-time. This idea has significant implications for our understanding of the fundamental nature of time and the universe.

5. Is relativity simultaneity a proven concept?

Yes, the concept of relativity simultaneity is based on the theory of relativity, which has been extensively tested and verified through numerous experiments and observations. The theory of relativity has been a crucial part of modern physics and has been confirmed by numerous experiments, making the concept of relativity simultaneity a widely accepted and proven concept in the scientific community.

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