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Collison Equations

  1. Feb 5, 2004 #1
    Can anyone help show me the process of solving the equations
    (m1*v1)+(M2*V2)=(m1*v1')+(M2*V2')
    (.5m1*v1^2)+(.5M2*V2^2)=(.5m1*v1')+(.5M2*V2')

    to get the equations

    ------(m1+M2) (2M2v)
    v1'= --------- v1 + ----- V2
    ------(m1+M2) (m1+M2)


    -------(2m1) (M2-m1)
    V2'= --------- v1 + ----- V2
    ------(m1+M2) (m1+M2)


    i need the algebra used or at least how i should start i know you solve one and plug it into the other, but im not sure if i should start by factoring, expanding or what any help would be greatly appreciated
     
    Last edited: Feb 7, 2004
  2. jcsd
  3. Feb 6, 2004 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    Your equations are full of typographical errors, so it is to understand what you are trying to get.

    One hint: conservation of momentum is a VECTOR equation, so it is actually three equations in the three components of velocity. On the other hand, the energy equation is scalar, where the velocity magnitude squared appears.
     
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