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?
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).