About elastic and inelastic collision

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Inelastic collisions occur when kinetic energy is not conserved, while elastic collisions do conserve kinetic energy. The sticking together of two colliding objects is a sufficient condition for a completely inelastic collision but not a necessary one, as collisions can still be inelastic without objects sticking together. If objects do not stick, the collision could be either elastic or inelastic, depending on kinetic energy conservation. The discussion clarifies the definitions and conditions surrounding elastic and inelastic collisions. Understanding these concepts is crucial for accurately analyzing collision scenarios in physics.
KFC
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I am studying the collision from the text, in which they said inelastic collision is the case when two collide objects stick together after collision. But in the class, the instructor said two objects stuck together is not the sufficient condition for inelastic collision, we should figure out if the kinetic energy conserved or not. So which one is right and why?
 
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KFC said:
I am studying the collision from the text, in which they said inelastic collision is the case when two collide objects stick together after collision. But in the class, the instructor said two objects stuck together is not the sufficient condition for inelastic collision, we should figure out if the kinetic energy conserved or not. So which one is right and why?

Neither, if you've quoted your instructor correctly (but I'd bet a fair amount that he didn't say "sufficient", he said "necessary", in which case he's right).

An elastic collision conserves kinetic energy; an inelastic collision does not.

If the colliding objects stick together, that's a sufficient but not a necessary condition for the collision to be inelastic.
 
In other words, if the objects don't stick together, the collision may be either elastic or inelastic, depending on whether KE is conserved or not.

We sometimes call the case where the objects stick together "completely inelastic", and the cases where they don't stick together but KE is not conserved "partially elastic" or "partially inelastic".
 
Thanks guys for your explanation.
 
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