Inelastic vs Elastic Collisions?

I know that elastic collisions conserve KE and p, and that inelastic collisions only conserve p. My question is that why do objects attach to one another when they collide? isn't KE still being conserved in a way cause the object is moving? Aslo say that we have a car and a bus colliding and we assume... show more I know that elastic collisions conserve KE and p, and that inelastic collisions only conserve p.

My question is that why do objects attach to one another when they collide? isn't KE still being conserved in a way cause the object is moving?

Aslo say that we have a car and a bus colliding and we assume that energy and momentum is conserved but the car attaches itself to the bus...is that even possible? kind of confused here.
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