Question about the Lorentz factor

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    Lorentz Lorentz factor
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Discussion Overview

The discussion revolves around a hypothetical scenario involving the calculation of average speed for a twin brother who travels to the moon and back while a song plays. The focus includes aspects of time dilation and the implications of relativistic speeds in the context of the problem.

Discussion Character

  • Exploratory
  • Mathematical reasoning

Main Points Raised

  • One participant expresses difficulty in understanding the problem and seeks help with the calculations related to average speed.
  • Another participant calculates the average speed as approximately 2765 km/sec based on the round trip distance and time, suggesting this speed is not sufficient to experience relativistic time dilation.
  • There is a mention of the need to consider how the trip is made, indicating that different speeds during the journey could affect the average speed calculation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the implications of the average speed in relation to relativistic effects, and there are multiple viewpoints regarding the conditions of the trip.

Contextual Notes

The discussion does not resolve the assumptions regarding the nature of the travel (constant speed vs. variable speed) and how these might affect the average speed and time dilation considerations.

EqualsMC2
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TL;DR
A rookie physics fan
Brief intro: I'm awful at maths and really interested in physics.

My friend asked me to solve a question but I can't seem to wrap my head around it...

The question: If I'm listening to a song that lasts 5 minutes and 30 seconds and my twin brother travels to the moon and back while the song played aged 4 minutes and 38 seconds in that time what was my brothers average speed?
 
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It's about a 768800 km round trip, accomplished in 278 seconds, so simple division says he moves at an average of about 2765 km/sec, nowhere near enough speed to experience any relativistic time dilation, at least not in a problem done in 3-4 digits of precision. The most pressing question is how far away the moon was the day he did this.

Apparently the round trip took place in less time than it took for the song to play.
 
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Halc said:
It's about a 768800 km round trip, accomplished in 278 seconds, so simple division says he moves at an average of about 2765 km/sec, nowhere near enough speed to experience any relativistic time dilation, at least not in a problem done in 3-4 digits of precision. The most pressing question is how far away the moon was the day he did this.

Apparently the round trip took place in less time than it took for the song to play.
Wow thank you!
 
Your brother could travel to the Moon and back many times. His average speed would depend on the way he does so. A constant speed will lead to a different average than "zero for 4:37 and then nearly the speed of light for the rest of the time".
 

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