Provide an example of an elastic collision and an inelastic collision.

Sure, I can provide examples of both elastic and inelastic collisions:

Example of an Elastic Collision:
Let's consider two pool balls colliding on a billiard table. When the cue ball strikes the object ball directly, the collision between them is generally considered to be nearly elastic. In an elastic collision, both the momentum and the kinetic energy of the system are conserved. Therefore, after the collision, the cue ball will rebound off the object ball, moving in a different direction, and both balls will retain their original shapes and speeds (neglecting any friction or spin effects).

Example of an Inelastic Collision:
An example of an inelastic collision can be a car colliding into a wall. When the car hits the wall, it transfers a significant amount of kinetic energy to the wall, causing deformation and damage. In an inelastic collision, kinetic energy is not conserved, meaning that some or all of the original kinetic energy is transformed into other forms, such as heat, sound, or damage to the objects involved. In this case, the car comes to a stop and may experience significant damage due to the collision.

To identify whether a collision is elastic or inelastic, you need to analyze the conservation of momentum and kinetic energy before and after the collision. In elastic collisions, both momentum and kinetic energy are conserved, whereas in inelastic collisions, only momentum is conserved, while the kinetic energy is not.