A golf ball rolls off the top of a flight of concrete steps of total vertical height 4.00 m. The ball hits four times on the way down, each time striking the horizontal part of a different step 1.00 m lower. If all collisions are perfectly elastic, what is the bounce height on the fourth bounce when the ball reaches the bottom of the stairs?
We have to find the height to which the golf ball will rise after fourth bounce with concrete steps.
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Perfectly elastic collision: In a perfect elastic collision, the momentum of the system and as well as the total energy of the system remains conserved.
Law of conservation of linear momentum: According to law of conservation of linear momentum, the total momentum of the system before collision is equal to the total momentum of the system after the collision.
Law of conservation of energy: According to law of conservation of energy, the total energy of the system before collision is equal to the total energy of the system after collision.