Finding velocity using relativistic energy equations

[borie88]

Hello all, I was wondering how you take the relativistic kinetic energy equation:

Total Energy=(gamma)mc^2

and solve it for a certain velocity.
In our homework we have to take a high amount of energy that is put on an object with mass initially at rest, and find out what velocity it will have because of the energy.

Thanks

 

[tiny-tim]

Welcome to PF!

Hello borie88! Welcome to PF!

(try using the X² tag just above the Reply box )

E = mc²/√(1 - v²/c²),

so just square both sides, fiddle around a bit, and you get v = … ?

 

[JANm]

Hello all, I was wondering how you take the relativistic kinetic energy equation:

Total Energy=(gamma)mc^2

and solve it for a certain velocity.
Thanks

Hello borie88
Are you sure this is the relativistic kinetic energy relation? Is it not so that kinetic energy = (gamma)mc^2-m_0c^2?
greetings Janm