True/False relativity question.

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The discussion centers on the statement regarding the impossibility of a rocket reaching Alpha Centauri in less than 4.25 years, which is true when considering the Earth frame of reference. Length contraction in special relativity does not change the fact that light takes 4.25 years to travel from the star to Earth. Participants emphasize that unless a specific frame is mentioned, the default assumption should be the Earth frame. The initial conclusion that the statement is false due to relativistic effects is corrected, affirming that the answer is indeed true. Understanding the context of the problem is crucial for accurate interpretation.
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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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