Special relativity spacecraft speed question

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Homework Help Overview

The discussion revolves around a problem in special relativity involving the relative speeds of a pursuit spacecraft and a cruiser, both traveling away from a planet. The original poster presents a scenario where the speeds are given as fractions of the speed of light, prompting a calculation of the pursuit ship's speed relative to the cruiser.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the correct formula for combining relativistic speeds and question the arithmetic involved. There is also a focus on ensuring that the original poster has made an attempt to solve the problem before seeking help.

Discussion Status

Some participants have provided feedback on the calculations presented, noting potential errors in the application of the formula. There is an ongoing examination of the correct approach to the problem, with no clear consensus reached yet.

Contextual Notes

Participants emphasize the importance of adhering to forum rules regarding attempts to solve problems and the expectations for sharing work to facilitate discussion.

alexmahone
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A pursuit spacecraft from the planet Tatooine is attempting to catch up with a Trade Federation cruiser. As measured by an observer on Tatooine, the cruiser is traveling away from the planet with a speed of 0.6c. The pursuit ship is traveling at a speed of 0.8c relative to Tatooine, in the same direction as the cruiser. What is the speed of the pursuit ship relative to the cruiser?
 
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Is the problem physics, that you do not know the formula for combining (relativistic) speeds or mathematics, that you cannot do the arithmetic? Or is the difficulty reading- that you were not able to read the forum rules that you said you had when you registered for this forum?

If you are asked to do a problem for a class, someone clearly expects that you know and can use a formula for this problem. And we have a right to expect that you have read the forum rules and know you must make an attempt to solve the problem yourself and post that attempt here. We cannot give hints if we do not know exactly where you had a problem.
 
HallsofIvy said:
Is the problem physics, that you do not know the formula for combining (relativistic) speeds or mathematics, that you cannot do the arithmetic? Or is the difficulty reading- that you were not able to read the forum rules that you said you had when you registered for this forum?

If you are asked to do a problem for a class, someone clearly expects that you know and can use a formula for this problem. And we have a right to expect that you have read the forum rules and know you must make an attempt to solve the problem yourself and post that attempt here. We cannot give hints if we do not know exactly where you had a problem.

I get the answer 0.135c whereas my textbook says 0.385c. I was just hoping that someone could confirm that my answer is right. I didn't post my solution because I didn't want others to be biased by it.
 
Let S be Tatooine and S' be the pursuit ship. Let P be the cruiser.

[tex]v=0.6c[/tex] [tex]u=0.8c[/tex]

[tex]v'=\frac{v-u}{1-uv/c^2}[/tex]

[tex]=\frac{0.6c-0.8c}{1-0.8c*0.6c/c^2}[/tex]

[tex]=-0.385c[/tex]

Is that correct?
 
Last edited:
alexmahone said:
[tex]=\frac{0.6c-0.8c}{1+0.8c*0.6c/c^2}[/tex]
You made a sign error in the denominator.
 
Doc Al said:
You made a sign error in the denominator.

Oops; thanks.
 

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