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Energy Sharing in Elastic Collisions

  1. Oct 5, 2011 #1
    A stationary object with mass mb is struck head-on by an object with mass ma that is moving initially at speed v0.
    If the collision is elastic, what percentage of the original energy does each object have after the collision?

    I don't know how to find percentage.
  2. jcsd
  3. Oct 5, 2011 #2
    Is the collision assumed to be perfectly elastic? i.e. is the total kinetic energy assumed to be conserved?
  4. Oct 5, 2011 #3
    kinetic energy conserved
  5. Oct 5, 2011 #4
    There are two principles you can use. Do you know which principles?
  6. Oct 5, 2011 #5
    kinetic energy & momentum
    but how to calculate
  7. Oct 5, 2011 #6
    First I would simplify the notation.
    Why not call the stationary mass M and the other mass m.
    Let m have intial velocity u and let final velocities of m be v and that of M be w.
    Now apply those two principles.
  8. Oct 5, 2011 #7
    conservation of KE: (1/2)mu[itex]^{2}[/itex] = ...
    conservation of linear momentum: mu =...
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