# 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