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Homework Help: Velocity of snapium given constant and weight

  1. Oct 30, 2012 #1
    1. The problem statement, all variables and given/known data

    A snapnium-loaded toy launcher shoots a 22 g plastic ball. What is the launch speed if the snaptastic constant is 4.6×104 N/m3, with the units you found in part A, and the piece of snapnium is compressed 14 cm ? Assume the barrel is frictionless.

    OTHER INFO:

    A materials scientist comes up with a new elastic she calls "snapnium" that obeys the force law Fx=-q(x-xe)3, where xe is the equilibrium position of the end of the particular sample and q is the "snaptastic" constant. For simplicity, we'll let xe=0m . Then Fx=-qx3.

    2. Relevant equations

    U(x)= (qx4)/4

    part A was finding units of q, which were N/m3

    3. The attempt at a solution

    The answer is 20 m/s, but I have no idea how to do it. Can someone explain to me what the process is to get to this answer?
     
  2. jcsd
  3. Oct 31, 2012 #2
    Use conservation of total energy.
     
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