- #1
jayqubee
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Homework Statement
The problem concerns the collision of a particle on a rigid, fixed disk of radius R. The coefficient of friction is zero, and the coefficient of restitution is 0 < ε < 1, such that vperpendicular, final = εvperpendicular, initial .
A) Show that tanαincident = εtanαfinal (completed)
Where α is the angle from the velocity vector to the normal vector
B) Write a program to numerically solve for the differential cross section (main problem)
Homework Equations
impact parameter : b
Scattering angle : θ
differential cross section : dσ/dΩ = (b/sinθ)|db/dθ|
The Attempt at a Solution
I honestly do not know where to start here. I solved this problem for hard-sphere scattering but now solving for the impact parameter, b, leads to a dependence on α, which vanished in the hard-sphere case. Any tips on getting this started would be appreciated.