Einstein's Electrodynamics of moving Bodies

In summary: Perhaps you can also look into the mathematical properties of waves and their interaction with matter.##\ ##I don’t have notes or anything except Einstein’s 1905 paper “On the Electrodynamics of Moving Bodies” which is currently breaking my brain…. From what I’ve read about length contraction, the equation L = Lo √1- v^2/c^2 may apply but I’m having difficulty identifying LoThat's a great paper, but it's not a good source for you to learn SR from. As is evidenced by your helplessness in the face of a length contraction problem.Try this. The first chapter is free
  • #1
jselms99
4
1
Homework Statement
Okay guys I’m lost:

I have a train measured as being 100 meters in length standing in the station. Once its pulled out and it reaches a constant speed, the length measured by observers who are alongside the tracks is 50 meters. How fast is it traveling?

I have to calculate this for different distances; for example, 10 meters, 50 meters, 100 meters and represent the answer as a fraction of c.
Relevant Equations
The problem is, I don’t know what equation I should be using!
Okay I’m assuming I have to use √1- v^2/c^2 multiplied by some coefficient of length but I don’t understand any of this and could really use help understanding the process and/or reference material that might point me in the right direction
 
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  • #2
Hello @jselms99 ,
:welcome: ##\qquad## !​

Here at PF we have some rules and guidelines, which please read. In particular: we need some attempt from you before we can help.

jselms99 said:
The problem is, I don’t know what equation I should be using!

Okay I’m assuming I have to use √1- v^2/c^2 multiplied by some coefficient of length but I don’t understand any of this and could really use help understanding the process and/or reference material that might point me in the right direction
Do you have a textbook, lecture notes, anything relevant for this exercise ?
If not, why are you doing this ?

Perhaps you can read up on 'length contraction' ?

##\ ##
 
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  • #3
BvU said:
Hello @jselms99 ,
:welcome: ##\qquad## !​

Here at PF we have some rules and guidelines, which please read. In particular: we need some attempt from you before we can help.Do you have a textbook, lecture notes, anything relevant for this exercise ?
If not, why are you doing this ?

Perhaps you can read up on 'length contraction' ?

##\ ##
I don’t have notes or anything except Einstein’s 1905 paper “On the Electrodynamics of Moving Bodies” which is currently breaking my brain…. From what I’ve read about length contraction, the equation L = Lo √1- v^2/c^2 may apply but I’m having difficulty identifying Lo
 
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  • #4
##L_0## is length in rest frame (i.e. when measured in frame where train stands still, for example standing at the station).
 
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  • #5
BvU said:
##L_0## is length in rest frame (i.e. when measured in frame where train stands still, for example standing at the station).
How would I account for varying distances traveled though? I was thinking of using the equation x=vt and t=x’/(c-v) but I don’t know if that’s helpful
 
  • #6
Could you transcribe the entire problem : as is, the "different distances... for instance...." makes no sense to me without quite a bit of context.
 
Last edited:
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jselms99 said:
I don’t have notes or anything except Einstein’s 1905 paper “On the Electrodynamics of Moving Bodies” which is currently breaking my brain…. From what I’ve read about length contraction, the equation L = Lo √1- v^2/c^2 may apply but I’m having difficulty identifying Lo
That's a great paper, but it's not a good source for you to learn SR from. As is evidenced by your helplessness in the face of a length contraction problem.

Try this. The first chapter is free.

https://scholar.harvard.edu/david-morin/special-relativity
 
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