Special Relativity and spaceships

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Homework Help Overview

The discussion revolves around a problem in special relativity involving two identical spaceships, each 200 m long in their rest frame, traveling in opposite directions at a relative velocity of 0.58c. The original poster seeks to determine the length of each spaceship in a reference frame where both are of equal length.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the concept of length contraction and the need to identify the appropriate reference frame where both spaceships have the same speed. Questions are raised about the implications of this frame on the lengths of the spaceships.

Discussion Status

Participants are actively engaging with the problem, with some suggesting that the original poster needs to explore the equations related to length contraction. There is a recognition of the need to transform to a frame where both ships are traveling at the same speed, indicating a productive direction in the discussion.

Contextual Notes

There is an emphasis on the original poster needing to attempt the problem independently before receiving further guidance, reflecting the forum's learning-first approach.

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Homework Statement


Two identical spaceships,each 200 m long in its rest frame pass one another traveling in opposite directions.According to a passenger in one of the spaceships,the relative velocity of the two spaceships is 0.58c.


Homework Equations





The Attempt at a Solution


What the length of each spaceship in a reference frame in which both are of equal length?
 
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you need to have a go at the problem yourself, before we can offer advice. think about what equations you need to use.
 
I don't know but it may be length contraction.
 
A "reference frame in which both are of equal length" is one in which the two space ships have the same speed. What would that be?
 
yes. The problem is about length contraction. And as HallsofIvy is saying, you need to work out what is the transform to a frame where both ships are traveling at same speed. Then you can use this to work out what is the length of the ship in this frame.
 
Thank you so much for your advices
 

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