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Block slides along an elevated track

  1. Nov 24, 2009 #1
    1. The problem statement, all variables and given/known data
    A block slides along an elevated track. The flat part has a length L = 0.2m and the object is released from rest from height h = 0.1m. The curved portion of the track is frictionless, but the flat part is rough with a friction coefficient μk = 0.15. Where does the object finally come
    to rest? *Hint: use pseudowork to account for friction.
    http://img694.imageshack.us/img694/9565/dsfm.jpg [Broken]


    2. Relevant equations
    U = mgh =m9.8*0.1


    3. The attempt at a solution
    i know that the object starts with U = mgh =m9.8*0.1=m0.98 but i have no idea what to do next.. and whats pseudowork?
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Nov 24, 2009 #2
    I had to google it myself, but apparently pseudowork is given by

    [tex]
    \Delta K_{trans}=\frac{1}{2}mv_{cm}^2=\int \mathbf{F}\cdot d\mathbf{r}
    [/tex]

    where the cm=center of mass. True work is given by

    [tex]
    W=\int\mathbf{F}\cdot d\mathbf{r}
    [/tex]

    My guess is you'll be using the frictional force for [itex]\mathbf{F}=\mu_k\mathbf{F}_{normal}[/itex] and solving for [itex]\mathbf{r}[/itex] since you will know everything else.
     
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