What exactly is Elastic, Inelastic and Completely Inelastic Collision #6

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What exactly is the difference between elastic, inelastic and completely elastic collision?

In short -
In earlier lesson we learnt that the total liner momentum of a system of masses or a bunch of object, does not change if there is no net external force acting on the system. In more technical terms we say that the linear momentum is conserved.

But what happens to the KE of the system. Well if the total KE does not change before and after the collision, we say that the collision is elastic.

But the truth is that this rarely happens in real life. If 2 cars collide, the total KE does not remain constant before and after the collision. A lot is dissipated in heat and sound post the collision. Or say a bat hits a ball, we can hear the sound of the knock which essentially means that some KE has got converted to sound energy. Some might have got converted to heat as well. So such collisions where KE is not preserved are called inelastic.

Then there is also a term that is called completely inelastic collision which essentially involves 2 bodies sticking together and moving as one mass after the collision. In such cases the loss of KE is maximum

However there can be some collisions which come close to being elastic or KE is almost conserved. One example that come to mind is a billiards cue ball hitting another ball. Although there is some sound produced but careful calculations have found that the velocity of interacting balls changes in a way that the KE before and after the collision is quite close

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