# Rearranging formula

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• December 18th 2008, 06:43 AM
RobertDeniro
Rearranging formula
Ok well this one has well and trluy stumped me so i'm here to ask for help

p=(m*v)/SQRT(1-(v^2/c^2))

And i need to make v the subject of the equation, everytime i end up with v/v on one side, so if anyone can help i'd be forever in you debt.

Thank you in advance.

Attachment 9315
• December 18th 2008, 07:10 AM
Isomorphism
Quote:

Originally Posted by RobertDeniro
Ok well this one has well and trluy stumped me so i'm here to ask for help

p=(m*v)/SQRT(1-(v^2/c^2))

And i need to make v the subject of the equation, everytime i end up with v/v on one side, so if anyone can help i'd be forever in you debt.

Thank you in advance.

Attachment 9315

$P^2\left(1 - \frac{v^2}{c^2}\right) = m^2 v^2$

$\Rightarrow P^2 = m^2 v^2 + \frac{P^2v^2}{c^2}$

$\Rightarrow v^2 = \dfrac{P^2}{m^2 + \frac{P^2}{c^2}}$