To answer these questions, let's break it down step by step:
1. Net force before release: When the ball is held at a height of 1m, the net force acting on it is equal to its weight. The weight can be calculated using the formula: weight = mass * gravity. Considering the mass of the ball is 0.125 kg and gravity is approximately 9.8 m/s^2, the net force before release is given by: net force = weight = 0.125 kg * 9.8 m/s^2.
2. Net force after bounce: After bouncing back at a height of 0.9m, the net force will again be equal to the weight of the ball, as there is no vertical movement at the top of the bounce. Therefore, the net force is the same as before release.
3. Work done by net force during fall: The work done by the net force while the ball is falling is equal to the change in potential energy. The potential energy formula is: potential energy = mass * gravity * height. The change in potential energy can be calculated as the difference between the potential energy at the starting height and the potential energy just before hitting the floor.
4. Change in potential energy during the fall: The change in potential energy can be found using the above formula for potential energy by subtracting the final potential energy from the initial potential energy.
5. Kinetic energy just before hitting: The kinetic energy of the ball just before it hits the floor is equal to the potential energy it had just before release. This is due to the conservation of mechanical energy, as there is no work done by forces other than gravity.
6. Potential energy at the top of its bounce: The potential energy at the top of its bounce is equal to the kinetic energy it had just before hitting the floor. This once again follows the principles of conservation of mechanical energy.
7. Mechanical energy lost during the bounce: The mechanical energy lost during the bounce can be calculated by finding the difference between the potential energy at the top of the bounce and the potential energy just before release.
8. Momentum just before hitting the floor: The momentum just before hitting the floor can be calculated using the formula: momentum = mass * velocity. The velocity can be found using the equation for conservation of mechanical energy by substituting the value of potential energy just before hitting the floor into the formula for potential energy.
9. Momentum just after leaving the floor on the return bounce: The momentum just after leaving the floor on the return bounce can be found using the same formula as above. However, instead of using the potential energy just before hitting the floor, we use the potential energy at the top of the bounce.
10. Impulse delivered to the floor: Impulse is defined as the change in momentum. The impulse delivered to the floor is equal to the change in momentum of the ball just before hitting the floor.
11. Impulse delivered to the ball: Similarly, the impulse delivered to the ball by the floor is equal to the change in momentum of the ball just after leaving the floor on the return bounce.
By following these steps and performing the necessary calculations, all the quantities you asked for can be determined.