Time Paradox: Calculating Time Dilation for Objects Moving at 90% Speed of Light

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Discussion Overview

The discussion revolves around calculating time dilation for an object moving at 90% the speed of light, specifically addressing how long it would take for the object to reach an observer. The scope includes theoretical considerations of special relativity, time dilation, and length contraction.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant calculates that an object traveling at 90% the speed of light, placed 1 hour away, would take 1 hour and 6 minutes to reach them, but questions this due to their own motion towards the object.
  • Another participant agrees with the initial calculation but notes that the observer moving with the object would measure a shorter distance due to length contraction, leading to differing travel time perceptions.
  • A third participant suggests that the confusion arises from not clearly specifying the problem, emphasizing the need to state the frame of reference for the distance measurement.

Areas of Agreement / Disagreement

Participants express differing views on the correct calculation of travel time due to the effects of time dilation and length contraction, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Limitations include the need for clearer problem specification regarding the frame of reference and the implications of relativity of simultaneity on time measurements.

Trojan666ru
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Suppose an object "O" is traveling towards me at 90% speed of light which is placed at 1hr c away, then how much time in "MY Clock" would it take to reach me?
I calculated it to be 1hr and 6 mts, am i right?
But on the other hand I'm the one who is moving towards the object "O" so by time dilation I'll reach there in 26.16mts, which one is the correct answer?
 
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Trojan666ru said:
Suppose an object "O" is traveling towards me at 90% speed of light which is placed at 1hr c away, then how much time in "MY Clock" would it take to reach me?
I calculated it to be 1hr and 6 mts, am i right?
Right. Assuming that the given distance the object had to travel is as measured by you.

Of course, as seen by an observer moving with the object, the distance you have to travel is shorter due to length contraction. Note also that that observer disagrees with how you measured the travel time, due to relativity of simultaneity.
 
Trojan666ru said:
Suppose an object "O" is traveling towards me at 90% speed of light which is placed at 1hr c away, then how much time in "MY Clock" would it take to reach me?
I calculated it to be 1hr and 6 mts, am i right?
But on the other hand I'm the one who is moving towards the object "O" so by time dilation I'll reach there in 26.16mts, which one is the correct answer?
The reason that there is any confusion is that you didn't clearly specify the problem. To fully specify the problem you should have said "Suppose an object 'O' is traveling towards me at 90% speed of light which is placed at 1hr c away in my frame, then how much time in 'MY Clock' would it take to reach me?"
 

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