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Math Help - Rearranging formula

  1. #1
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    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.

    Rearranging formula-formula.gif
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  2. #2
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    Quote Originally Posted by RobertDeniro View Post
    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.

    Click image for larger version. 

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    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}}
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