The rightness of the Newtonian hypothesis concerning a constat value of the coefficient of restitution R has been confirmed in the paper with reference to collisions in which the loss of energy occurs in conseqence of material damping. For collisions of different nature, when R depends on the density of the energy flux Φ, the paper points to the possibility of extending this notion to the case of eccentric collision. The possibility of describing R as a random function of Φ has been shown as well. Key words: collision, coefficient of restitution 1.