198 feet 10.66 inches
Because it is elastic, so little energy is lost in the impact . The kinetic energy it has immediately before impact is temporarily stored in the ball as potential energy, then released when the elastic material reforms into its previous shape.
Elastic rebound
Since no energy was lost, we can conclude that it was an elastic collision.
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Elastic rebound
Elastic rebound
The rebound height of a dropped bouncy ball is generally lower than the dropped height due to energy losses from deformation and air resistance. However, for ideal elastic collisions, the rebound height is approximately equal to the dropped height.
A ball dropped from a height transforms its stored elastic potential energy due to gravity into kinetic energy as it accelerates downward.
Factors that affect elastic potential energy include the stiffness of the material (determined by its spring constant), the amount of stretch or compression applied to the material, and the distance over which the force is applied. Additionally, the elastic potential energy is directly proportional to the square of the deformation distance.
Yes, a ping pong ball typically bounces when it is dropped due to its elastic properties and lightweight construction.
When a ball is dropped, its potential energy decreases due to the decrease in height, while its kinetic energy increases as it gains speed due to gravity pulling it downwards.
When it hits the floor it deforms. Because it is elastic, its deformation results in a force pushing upward. That force eventually brings it to a stop, but it is still deformed and so the force is still operating. That force then causes it to accelerate in the opposite direction. Similarly, the floor is also deforming, although usually much less. If both the ball and the floor are perfectly elastic, then the ball will accelerate to exactly the same speed as it was going when it hit the floor, and it will therefore bounce to the same height it was dropped from. However no substance is perfectly elastic and some energy will be lost as heat and sound. Example of a very elastic collision: a steel ball-bearing dropped onto concrete. Example of a very non-elastic collision: a lump of jelly dropped onto carpet.