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Thread: Kinetic energy at v = c

  1. #1 Kinetic energy at v = c 
    Forum Junior whizkid's Avatar
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    Hi,
    can anyone tell me what energy we must give a proton to reach 0.999 999 991 c?
    It ought to be 3.5 or 7 TeV, can you show me how you do that?

    Thanks a lot in advance!


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    Quote Originally Posted by whizkid View Post
    Hi,
    can anyone tell me what energy we must give a proton to reach 0.999 999 991 c?
    It ought to be 3.5 or 7 TeV, can you show me how you do that?

    Thanks a lot in advance!
    where is the rest mass of the proton and .


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  4. #3  
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    [QUOTE=xyzt;474899]
    Quote Originally Posted by whizkid View Post
    where is the rest mass of the proton and .
    Thanks,xyzt,
    938 000 000 eV*9*10^20/ 0.00134164 = 6,29 *10^33 eV.
    If I skip c^2, I get 7*10^11 which is almost right, not quite so,
    Where do I go wrong?
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    [QUOTE=whizkid;474905]
    Quote Originally Posted by xyzt View Post
    Quote Originally Posted by whizkid View Post
    where is the rest mass of the proton and .
    Thanks,xyzt,
    938 000 000 eV*9*10^20/ 0.00134164 = 6,29 *10^33 eV. If I skip c^2 I get 7*10^11 which is almost right, not quite so, Where do I go wrong?

    so, there is no justification for your in your calculations
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  6. #5  
    Brassica oleracea Strange's Avatar
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    Without wishing to overstate my case, everything in the observable universe definitely has its origins in Northamptonshire -- Alan Moore
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  7. #6  
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    [QUOTE=xyzt;474907]
    Quote Originally Posted by whizkid View Post
    so, there is no justification for your in your calculations
    Thanks, and I dropped one 0 : 938 000 000: 0.000134 164= 7 TeV
    Do you know why E is divided by c^2?
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    [QUOTE=whizkid;474911]
    Quote Originally Posted by xyzt View Post
    Quote Originally Posted by whizkid View Post
    so, there is no justification for your in your calculations
    Thanks, and I dropped one 0 : 938 000 000: 0.000134 164= 7 TeV
    Do you know why E is divided by c^2?
    in order to express mass, .
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  9. #8  
    Moderator Moderator Janus's Avatar
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    Quote Originally Posted by xyzt View Post
    Quote Originally Posted by whizkid View Post
    Hi,
    can anyone tell me what energy we must give a proton to reach 0.999 999 991 c?
    It ought to be 3.5 or 7 TeV, can you show me how you do that?

    Thanks a lot in advance!
    where is the rest mass of the proton and .

    Technically, if you are just looking for the kinetic energy.

    Granted, at 0.999999991c, the two answers won't vary by much.
    "Men are apt to mistake the strength of their feelings for the strength of their argument.
    The heated mind resents the chill touch & relentless scrutiny of logic"-W.E. Gladstone


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  10. #9  
    Forum Junior whizkid's Avatar
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    If I want to find 0.099...1, I can use the formula where M ( 7000 GeV/0.938 GeV = 7641 ) is mass increase (KE/m0*c^2)



    Is there another way? I found this formula but can't use it



    does it make sense to you?
    Last edited by whizkid; October 22nd, 2013 at 02:47 AM.
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    Quote Originally Posted by whizkid View Post
    If I want to find 0.099...1, I can use the formula where M ( 7000 GeV/0.938 GeV = 7641 ) is mass increase (KE/m0*c^2)



    Is there another way? I found this formula but can't use it



    does it make sense to you?
    I have no idea what you are asking.
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  12. #11  
    Brassica oleracea Strange's Avatar
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    Quote Originally Posted by whizkid View Post
    I found this formula but can't use it

    For massless particles (i.e. photons) , therefore

    From which . In other words the velocity of a photon is, not surprisingly, .
    Last edited by Strange; October 22nd, 2013 at 06:20 PM.
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    Quote Originally Posted by Strange View Post
    Quote Originally Posted by whizkid View Post
    I found this formula but can't use it

    For massless particles (i.e. photons) , therefore
    The other way around,
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  14. #13  
    Brassica oleracea Strange's Avatar
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    Quote Originally Posted by xyzt View Post
    Quote Originally Posted by Strange View Post
    Quote Originally Posted by whizkid View Post
    I found this formula but can't use it

    For massless particles (i.e. photons) , therefore
    The other way around,
    Doh. I meant (of course )
    Without wishing to overstate my case, everything in the observable universe definitely has its origins in Northamptonshire -- Alan Moore
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  15. #14  
    Forum Junior whizkid's Avatar
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    Thanks, everybody, for your help, so this:

    is the only way to find v^2/c^2
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