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Problem with equation / proving formula

  1. Apr 25, 2016 #1
    1. The problem statement, all variables and given/known data
    I have to prove some formula, I got stuck in the process.

    2. Relevant equations
    Formula to prove:
    [tex]v_{0} = \frac{M+m}{m}\sqrt{2gus}[/tex]
    Valid equation that should get me to this formula:
    [tex]\frac{m^2v_{0}^2}{2(M+m)} = gmus[/tex]

    3. The attempt at a solution
    [tex]v_{0}^2=\frac{2(M+m)}{m^2}gmus[/tex]
    [tex]v_{0}^2 = \frac{M+m}{m}2gus[/tex]
    [tex]v_{0} = \sqrt{\frac{M+m}{m}2gus}[/tex]

    I'm pretty sure my math has failed me here, that right handside of the equation seems fishy, or maybe book did a mistake?
     
    Last edited: Apr 25, 2016
  2. jcsd
  3. Apr 25, 2016 #2
    You seem to be correct may be there is a mistake in the book, what is u?
     
  4. Apr 25, 2016 #3
    Yeah I'm probably gonna assume that there's a mistake in the book, u is the coefficient of friction, this equation is the given equation of kinetic energy = work where the force is the force of friction.
     
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