Restitution Coefficient in a Collision between Two Spheres

Abstract

On the basis of elastic theory the restitution coefficient e was derived as a function of the elastic constants, radii, masses and colliding velocities of two spheres by taking the visco-elastic property into consideration. For a coefficient close to one, the value of (1- e ) was found to be proportional to (velocity) 1/5 . This result was compared with a treatment based on the plastic property of solids.