Explain the energy conversions that occur as a basketball falls, hits the ground, and bounces back up. Ignore frictional forces.

When a basketball falls, hits the ground, and bounces back up, several energy conversions take place. Let's break down the process to understand each step and the energy conversions involved:

1. Potential Energy to Kinetic Energy:
Initially, when the basketball is held up above the ground, it possesses potential energy due to its position in the Earth's gravitational field. As it is released, the potential energy is gradually converted into kinetic energy as it accelerates towards the ground. The potential energy decreases while the kinetic energy increases.

2. Kinetic Energy to Elastic Potential Energy:
When the basketball hits the ground, it comes to a stop momentarily. At this point, its kinetic energy is converted into elastic potential energy. The basketball deforms as it momentarily compresses upon impact with the ground. This compression stores potential energy within the ball.

3. Elastic Potential Energy to Kinetic Energy:
As the basketball rebounds or bounces back, the stored elastic potential energy is converted back into kinetic energy. The compressed ball starts to uncoil, releasing the stored energy, causing the ball to accelerate away from the ground.

4. Kinetic Energy to Potential Energy:
During the rebound, as the basketball rises back up, its kinetic energy gradually decreases, while potential energy increases. This happens because the ball slows down as it moves upward against the force of gravity.

5. Potential Energy to Kinetic Energy (again):
Once the basketball reaches its maximum height, its potential energy is at its highest, while the kinetic energy is momentarily zero. As the ball starts descending, the potential energy decreases while the kinetic energy increases again, following the same pattern as described in step 1.

These energy conversions demonstrate the Law of Conservation of Energy, which states that energy cannot be created or destroyed; it can only be converted from one form to another.