True/False relativity question.

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Homework Help Overview

The discussion revolves around a statement regarding the distance to the star Alpha Centauri and the implications of relativity on travel time. The original poster questions whether it is possible for a rocket from Earth to reach the star in less than 4.25 light years, considering the effects of special relativity.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to analyze the statement's validity by considering length contraction and the reference frame in which the problem is posed. Other participants discuss the implications of the frame of reference and whether the question specifies a frame.

Discussion Status

Participants are exploring the interpretation of the problem statement and the assumptions regarding the frame of reference. Some guidance has been offered regarding the assumption of the Earth frame, but there is no explicit consensus on the correctness of the original poster's answer.

Contextual Notes

There is a focus on identifying the frame of reference for the problem, with participants noting that the information provided appears to be in the Earth frame. The lack of specification in the question about the frame is a point of discussion.

bayan
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Homework Statement



The star alpha centauri is 4.25 light years from us, so it takes its light 4.25 years to reach earth. It is impossible, in principle, for any rocket from Earth ever to reach this star in less than 4.25 light years.


Homework Equations




The Attempt at a Solution



My first answer was that the statement was false as length contraction would make the journey distance shorter for rockets F.O.R and the accepted answer is true, which leads me to the conclusion that they must mean 4.25years in Earth's F.O.R

I would like to know how I could identify in which frame they requested the answer in the problem above.
 
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hi bayan! :smile:
bayan said:
The star alpha centauri is 4.25 light years from us, so it takes its light 4.25 years to reach earth. It is impossible, in principle, for any rocket from Earth ever to reach this star in less than 4.25 light years.

I would like to know how I could identify in which frame they requested the answer in the problem above.

the facts given in the question are clearly written in the Earth frame, so you should assume that the question itself is also :wink:
 
tiny-tim said:
hi bayan! :smile:

the facts given in the question are clearly written in the Earth frame, so you should assume that the question itself is also :wink:

Thanks for your reply, so unless there is a specified frame I should just use the one with respect to which data is given? Also is my answer of saying that statement is "false" wrong?
 
yes! … don't make the questions more difficult than they already are! :biggrin:

(and you "false" was wrong)
 

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