Ok. What are the momentum changes in each case? And what is the other way of specifying impulse? (Working out speeds and times is easy, from the facts you have.)melofc said:change in momentum
When the ball is initially dropped, it gains potential energy due to its position at a higher height. As it falls and reaches the ground, this potential energy is converted into kinetic energy, causing the ball to bounce back up. However, some of the energy is lost due to friction and air resistance, resulting in a lower bounce height. When the ball is dropped for the second time, it already has some kinetic energy from the first drop, allowing it to bounce higher as there is less energy lost to friction and air resistance.
No, the ball will not bounce the same height after each drop. As mentioned before, some energy is lost with each bounce due to factors such as friction and air resistance. This means that the ball's bounce height will decrease with each subsequent drop, but it may still reach a relatively consistent height after a few drops.
The surface that the ball bounces on can greatly affect its bounce height. A harder surface, such as concrete, will cause the ball to bounce higher compared to a softer surface, like a carpet. This is because harder surfaces can exert a greater force on the ball, resulting in a higher bounce. Additionally, a smoother surface will also result in a higher bounce compared to a rougher surface due to less energy being lost to friction.
As mentioned before, energy is lost with each bounce due to factors such as friction and air resistance. This means that with each subsequent bounce, the ball has less energy to bounce back up with. Eventually, the ball will stop bouncing altogether as it loses all of its energy to these forces.
Yes, gravity plays a significant role in the ball's bounce height. The acceleration due to gravity affects the ball's downward movement, and it will also affect the ball's upward movement as it bounces back up. A stronger gravitational force will result in a faster downward movement and a higher bounce height, while a weaker gravitational force will result in a slower downward movement and a lower bounce height.