Is the Proof of E=mc² Valid for Accelerating Objects in Special Relativity?

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The discussion centers on the validity of the proof for E=mc² in the context of accelerating objects within Special Relativity. The proof utilizes the concept of relativistic mass, defined as m = m₀ / √(1 - v²/c²), and derives work done on an object through the integral of force. Participants debate the applicability of Special Relativity to non-inertial frames, with one contributor asserting that the proof remains valid as it operates within an inertial reference frame despite the object's acceleration. The conversation also critiques the term "relativistic mass," advocating for the exclusive use of rest mass in modern physics.

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  • #31
pc2-brazil said:
OK, I was forgetting about centripetal acceleration.

Vector calculus is a very powerful tool in obtaining the most general solutions. This is why I mentioned that the solution I provided is much more general than the one you found. Where did you find iit? What book?
 
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  • #32
starthaus said:
Vector calculus is a very powerful tool in obtaining the most general solutions. This is why I mentioned that the solution I provided is much more general than the one you found. Where did you find iit? What book?
Actually, I found it in an online video: http://www.youtube.com/user/matmania1#p/c/7E2FA65CB78B54B0/14/4cS5qvNJJmA". This video is in Portuguese.
My knowledge is somewhat fragmented, since I'm not following a course (just so you have an idea, I've learned the substitution method in integration for the first time today in order to understand a particular step in your derivation). I'm learning from what the Internet has to offer. This forum is a very helpful resource.
 
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  • #33
pc2-brazil said:
Actually, I found it in an online video: http://www.youtube.com/user/matmania1#p/c/7E2FA65CB78B54B0/14/4cS5qvNJJmA". This video is in Portuguese.
My knowledge is somewhat fragmented, since I'm not following a course. I'm learning from what the Internet has to offer. This forum is a very helpful resource.

If I may suggest an internet source, find C.Moller's book on relativity (The Theory of Relativity). It is very good, a model of rigor and it is...free. I think that it is one of the best, most complete books written on the subject. It covers both SR and GR.
 
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  • #34
starthaus said:
If I may suggest an internet source, find C.Moller's book on relativity (The Theory of Relativity). It is very good, a model of rigor and it is...free. I think that it is one of the best, most complete books written on the subject. It covers both SR and GR.

Thank you for the suggestion, I will have a look.
By the way: you've answered to my reply so fast that you may haven't noticed the edition I made.
 
  • #35
Also this reference:

http://www.fourmilab.ch/etexts/einstein/E_mc2/www/"
 
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  • #36
Dickfore said:
Also this reference:

http://www.fourmilab.ch/etexts/einstein/E_mc2/www/"

Thank you too.
 
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