Part c) If friction, with coefficient f, is introduced, how would this affect the outgoing vector, o?
A particle collides with a surface, at velocity vector . The normal vector for the point at which is collides is vector . and are the unit vectors for v and a respectively.
1) Using the fact that angle of incident = angle of reflection, what is the new vector , which represents the outgoing velocity, assuming there is no loss of energy.
2) Given a coefficient of restitution, c, how would the vector differ?
It would apply an additional change in component parallel to the surface
proportional to where is the duration of
contact. The constant of proportionality would depend on factors we are not
told (or a definition of coefficient of friction of which I am unaware).
RonL