A golf bounces down a flight of steel stairs, striking several steps on the way down, but never hitting the edge of a step. The ball starts at the top step with a vertical velocity component of zero. If all the collisions with the stairs are elastic, and if the vertical height of the staircase is 3.00 m, determine the bounce height when the ballreaches the bottom of the stairs. Neglect air resistance.
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The change of gravitational potental energy, mgh, goes into KE due to vertical motion. With no losses on bouncing (there will be in reality), the top of each bounce will be at the original height.
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