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Homework Help: Force attracting a particle and time required

  1. Sep 20, 2009 #1
    1. The problem statement, all variables and given/known data
    A particle of mass m is released from rest a distance b from a fixed origin of force that attracts the particle according to the inverse square law:
    F(x) = -kx-2

    Show that the time required for the particle to reach the origin is
    Pi times (mb3/8k)1/2

    2. Relevant equations
    I have no idea what you need

    3. The attempt at a solution
    I am sad to say I have no clue how to even star this one. Any help would be nice, just don't give me the answer just yet.
  2. jcsd
  3. Sep 20, 2009 #2


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    Science Advisor
    Homework Helper
    Gold Member

    Use energy mechanical energy conservation and solve for dx/dt. After you do that you might see what comes next.
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