## Coefficient of Restitution A parameter that helps define an inelastic collision is called the . The coefficient of restitution is the negative of the ratio of the before and after a collision.
A “perfectly-inelastic” collision (also called a "perfectly-plastic" collision) is a limiting case of inelastic collision in which the two bodies stick together after impact. The degree to which a collision is elastic or inelastic is quantified by the coefficient of restitution , a value that generally ranges between zero and one. The coefficient of restitution (COR), also denoted by (e), is the ratio of the final to initial relative velocity between two objects after they collide.It normally ranges from 0 to 1 where 1 would be a perfectly elastic collision. A perfectly inelastic collision has a coefficient of 0, but a 0 value does not have to be perfectly inelastic. e = 0 for the totally inelastic collision. The coefficient of restitution is the ratio of the relative velocity of the objects after the collision to their relative velocity before the collision. e = (v 2f - v 1f )/(v 10 - v 20 ) (Equation 2)
collision could be envisioned like the collision of two billiard balls. This rebound effect is modeled with a coefficient of restitution, which equals zero (0.0) for an inelastic collision and one (1.0) for a purely elastic collision. In practice, collisions tend to have a coefficient of Inelastic is a relatively easy case, but for other cases we can use these general formulas: new v a = elast × m b (v b − v a) + m a v a + m b v b m a + m b. new v b = elast × m a (v a − v b) + m a v a + m b v b m a + m b. Where: elast = "Coefficient of Restitution", 0=inelastic, 1=elastic (or any value in between) v a and m a are the velocity and mass of object a The coefficient of restitution (COR), also denoted by (e), is the ratio of the final to initial relative velocity between two objects after they collide.It normally ranges from 0 to 1 where 1 would be a perfectly elastic collision. A perfectly inelastic collision has a coefficient of 0, but a 0 value does not have to be perfectly inelastic.
Elastic collision --One in which the total kinetic energy of the system (K) is the same before and after the collision. Super elastic collision –One in which K after the collision is bigger than that before. Inelastic collision --One in which K after the collision is less than that before. Completely inelastic collision – one where change in momentum.In a perfectly elastic collision, such as a ball rebounding at its impact speed, the impulse would be twice the impact momentum. Upward and downward speeds would be equal meaning a coefficient of restitution (e) of one.The e for a ball bounce is the ratio of the rebound speed to the impact speed. tact. Most people working on inelastic collapse consider a e-mail: [email protected]
that this phenomenon is qualitatively akin to the behavior of one inelastic ball bouncing repeatedly o the ground. Indeed, if during each bounce, the collision is assumed instantaneous and inelastic with constant restitution co-