A ball from a height 'h' on a horizontal floor.If it loses 60% of its energy on hitting the floor then height upto which it will rise after first rebounce is?

Answer with explanation

To determine the height the ball will rise after the first rebound, we need to consider the conservation of mechanical energy. When the ball falls from a height 'h' and hits the floor, it loses 60% of its energy. This means that only 40% of the initial potential energy will be converted into kinetic energy, and the remaining 60% is lost as dissipated energy.

The important point to note here is that the ball must rise to the same height after the first rebound as it was dropped from initially (i.e., 'h'). This is because the ball will gain the same amount of potential energy during its ascent after the rebound as it lost during its descent before the rebound.

Therefore, the ball will rise to a height 'h' after the first rebound.