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Homework Help: Elastic Collision in 2D between 2 Hard Spheres

  1. Nov 12, 2008 #1
    1. The problem statement, all variables and given/known data

    By resolving the momentum equations parallel and perpendicular to the incident beam direction, show that α is related to the speed v2 of the recoiling particle by:

    cos α = m2*v2/(2μ*u1) where μ=m1m2/(m1+m2)

    2. Relevant equations

    See attachment for diagram.


    m1v1cosθ +m2v2 cosψ = m1u1 ( parallel equation )

    m1v1sinθ + m2v2 sinΨ =0 ( perpendicular equation )

    3. The attempt at a solution

    expressing v1 from the perpendicular equation, then v1 was substituted into the parallel equation, and rearranging for v2 i got
    cos α = m2v2/m1u1 , which is not the right thing. What am I doing wrong?
     

    Attached Files:

  2. jcsd
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