What is the required energy for reaching 99.99999c velocity?

[maxwilli06]

So I'm introducing myself to formulas and such. I just am going over time dilation 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.

 

[1effect]

So I'm introducing myself to formulas and such. I just am going over time dilation 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.

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

 

[maxwilli06]

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

 

[1effect]

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

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.

 

[maxwilli06]

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

 

[1effect]

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

You have your answer at post #2