Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Finding required energy

  1. Feb 24, 2008 #1
    So I'm introducing myself to formulas and such. I just am going over time dialation and the Lorentz factor.
    Basically now I want to calculate how much energy would be require to bring a mass of 1 (grams) to a velocity of 99.99999c. I'm assuming this is pretty straightforward . correct me if I'm wrong.
  2. jcsd
  3. Feb 24, 2008 #2
    The total energy at rest is [tex]E_0=mc^2[/tex]
    The total energy at [tex]v[/tex] is [tex]E_1=\gamma mc^2[/tex]
    The energy vraiation you are looking for is [tex]\Delta W = E_1-E_0= (\gamma-1)mc^2[/tex]

    where :

    [tex]\gamma=\frac {1}{\sqrt(1-(v/c)^2)}[/tex]

    and [tex]v=.9999999c[/tex]
    Last edited: Feb 24, 2008
  4. Feb 24, 2008 #3
    great thanks.
    so to take this further.
    How much energy does nuclear fission of Uranium yield?
  5. Feb 24, 2008 #4
    This question has no realtionship to the previous one. The answer has to do with the amount of mass change:

    [tex]\Delta E =\Delta m c^2[/tex]

    I bet you knew that already.
  6. Feb 24, 2008 #5
    ya. i'm trying to figure out exactly how much energy derived from nuclear fission of uranium is needed to achieve .99999c
  7. Feb 25, 2008 #6
    You have your answer at post #2
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook