How do you find the coefficient of restitution of a bouncing ball?

How do you find the coefficient of restitution of a bouncing ball?

Coefficient of Restitution = speed up/speed down. Where v = velocity, g = 9.8m/s2, and h = average height measured. We took the average of the bounced height value (h) and put it in the formula along with the initial height (H) of 92 cm.

Why does a ball eventually stop bouncing?

If you drop the basketball, the force of gravity pulls it down, and as the ball falls, its potential energy is converted to kinetic energy. This is because the basketball had an inelastic collision with the ground. After a few bounces, it stops bouncing completely.

Does mass or size matter in bounce height?

The size of the ball can affect its bounce due to air resistance, surface volume and density. However, mass can also play a part in how a ball bounces. If two balls contain the same mass, but are of different sizes, the larger ball will bounce less due to greater air friction against its surface.

Why does a bigger ball bounce higher than a smaller ball?

So for bigger balls the ratio of gravitational to frictional force goes up, compared to small balls. That would tend to make the large balls bounce higher. If there’s a little difference between them, that can affect how much energy gets lost in internal friction as the ball flexes during the bounce itself.

Does a lighter ball bounce higher than a heavier ball?

A well-inflated ball bounces better because it has more air inside. When the lighter ball bounces on the heavy ball they exchange energy, and the lighter ball flies off with some of the energy of a heavier ball. It reaches way higher than from the height it was released.

How to calculate the height of a bouncing ball?

A ball of mass m is released from rest from a height h i above a horizontal surface. It hits the surface and bounces off vertically to reach a maximum height h f. The ball is in contact with the table for a time T. Calculate N a v e, the magnitude of the time average normal force exerted by the table on the ball.

Why does a bouncing ball lose its energy?

And in this problem what we like to do is figure out what the average force of the ground is on the ball. And that will be the normal force, the average normal force, on the ball during the collision. Now if we look at this ball dropping, it’s going to lose a little bit of energy, because it’s getting compressed at the collision.

When does a bouncing ball have a before state?

And our momentum principle, remember is impulse. The force integrated over some time during the collision is equal to the change in momentum. So what we’d like to do is identify the states that are relevant. So it will have a state before, so what we’ll do is we’ll call this the before state, and that’s right before the ball is hitting the ground.

What happens to the ball when it hits the ground?

Let’s consider a ball that is dropped from a certain height, h i, above the ground and this ball is falling. It hits the ground and it bounces up until it reaches some final height, h final. Now when the ball is colliding with the ground, there are collision forces.