What Determines the Speed of a Spacecraft in Special Relativity?

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Homework Help Overview

The discussion revolves around understanding the concept of speed in the context of special relativity, specifically regarding a spacecraft traveling at a speed of 0.6c. Participants explore how this speed is perceived by different observers and the implications of relativistic effects such as length contraction and time dilation.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss how a spacecraft determines its speed relative to its surroundings and question whether the speed indicated by the spacecraft's instruments aligns with what an external observer would perceive. There is also mention of the Lorentz Velocity Transform and its implications for different frames of reference.

Discussion Status

The discussion appears to be ongoing with participants acknowledging points made by others. Some express understanding while others hint at the complexity of the topic, suggesting that further exploration of the concepts may be needed.

Contextual Notes

Participants are navigating the nuances of special relativity, including the effects of length contraction and time dilation, which are critical to understanding the problem. There is an acknowledgment of potential anomalies in interpretation.

Delzac
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Homework Statement



Usually in physics problem on special relativity, the state that this particular spaceship is traveling at, say, 0.6c.

Question is, where does this 0.6c come from? If the speedometer in the cockpit reads 0.6c, does it mean that the observer will look and think that it is traveling at 0.6 c?

I suppose spacecraft determines its speed with reference to its surrounding, that's how we all determine your own speed isn't it? From a 1meter mark to another, how long did it take. Craft determines its speed via this method, the environment outside would length contract wouldn't it? So is the velocity from the 2 different frame the same?

Lorentz Velocity Transform tells me that it would, cause,

u'_x = 0

Any ideas? Any help will be appreciated.
 
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If we say a craft is moving at .6c, that will be relative to the observer.
If the occupant wished to know what his speed was relative to his surroundings, he would have to take into account that his surroundings will be compressed in the direction of his travel. He's also have to take into account time dilation.
 
Okay thanks, got it.
 
Delzac said:
Okay thanks, got it.

Really? No argument?

I think PF is going to explode.
 
Anomalies sometimes do surface.

Or why not take it that you have done a wonderful work explaining the concept to me.^^
 

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