Finding required energy

1. Feb 24, 2008

maxwilli06

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. Feb 24, 2008

1effect

The total energy at rest is $$E_0=mc^2$$
The total energy at $$v$$ is $$E_1=\gamma mc^2$$
The energy vraiation you are looking for is $$\Delta W = E_1-E_0= (\gamma-1)mc^2$$

where :

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

and $$v=.9999999c$$

Last edited: Feb 24, 2008
3. Feb 24, 2008

maxwilli06

great thanks.
so to take this further.
How much energy does nuclear fission of Uranium yield?

4. Feb 24, 2008

1effect

This question has no realtionship to the previous one. The answer has to do with the amount of mass change:

$$\Delta E =\Delta m c^2$$

I bet you knew that already.

5. Feb 24, 2008

maxwilli06

ya. i'm trying to figure out exactly how much energy derived from nuclear fission of uranium is needed to achieve .99999c

6. Feb 25, 2008