Solving the Superball Physics Problem: Bouncing in a Parabolic Path

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In summary, the conversation discusses the concept of throwing a super ball in a way that it bounces in a parabolic path between two points indefinitely. It is mentioned that in order for this to happen, the ball must start at a specific angle and land at the same angle, while encountering a barrier at one of the points. The rotational motion of the ball and its high contact surface friction are also mentioned as factors that affect its behavior. It is concluded that it is not possible to throw a super ball in a way that it bounces indefinitely, unless it is a magic ball or the laws of Thermodynamics are violated.
  • #1
AKemp
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Hi everyone,

Any help on this problem would be appreciated. Say you have a super ball, point mass. How could you throw it so it bounces in a parabolic path between two points indefinitely? I had no idea where to start on this one.

Thanks.
 
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  • #2
How could you get anything to bounce between two points in a parabolic arch even twice?

If these are points on a plane, then in order that the ball bounce from one point to another, it must start from one point at a specific angle. It then lands at the other point (neglecting air resistance) at the same angle and will continue in the same direction, bouncing at the same angle. In order to get the ball to bounce back to the starting point, you will have to have some sort of barrier there. If you have a vertical wall at both points, then you need only calculate an initial velocity (there will be more than one solution) so that the ball will move from the first point to the second. The rest of the motion will automatically follow from the "elastic collision" (and the ball can be treated as a point mass so you don't need I).
 
  • #3
I know from experience that the rotational motion of a super bounce ball strongly affects its dynamics. The two most amusing examples are when you spin one as you drop it to the ground it will bounce left, then right, then left, then right, etc. The other is if you throw it down and forward at, say, 45 degree angle and it bounces up to hit the bottom of a barrier (say, the underside of a table), it will come back to you!

I have no idea how to model this behavior, though...
 
  • #4
Ah! You are going to use "backspin" on the ball to make it bounce back? Then that will depend upon the friction between the ball and surface won't it?
 
  • #5
An aspect of the superball(depending on manufacturer) is it's extremely high contact surface friction. This attribute provides for many of the seemingly bizarre behaviors of a superball.
With the original Whammo superball, one can roll the ball along a flat surface with little ease.
However, if one pressed on the ball and attempted forward movement, the balls' motion is impeded due to very high contact surface friction.
Throwing a similar superball at a surface is roughly the same as pressing and rolling it. Resitance. This resitance is reflected.
 
  • #6
How could you throw it so it bounces in a parabolic path between two points indefinitely?
You couldn't.
Unless it's a magic super ball or your either a wizard with special powers or a scientist who's figured out a way to violate the laws of Thermodynamics.
 

1. How does the shape of a superball affect its bounce?

The shape of a superball affects its bounce by influencing the distribution of its mass and the direction of the force it exerts on the ground. A superball's round shape allows for a more even distribution of mass, resulting in a more predictable and consistent bounce compared to other irregularly shaped objects.

2. What factors determine the height of a superball's bounce?

The height of a superball's bounce is determined by several factors, including its initial velocity, the surface it bounces on, and its elasticity. A higher initial velocity will result in a higher bounce, while a softer surface or higher elasticity will also contribute to a higher bounce.

3. How does air resistance affect the bounce of a superball?

Air resistance can have a significant impact on the bounce of a superball, especially at higher velocities. As the superball moves through the air, it experiences drag, which can decrease its speed and ultimately reduce the height of its bounce. The shape and smoothness of the superball can also affect the amount of air resistance it experiences.

4. Can a superball ever bounce higher than its initial drop height?

In most cases, a superball will not bounce higher than its initial drop height due to the conservation of energy. When the superball is dropped, it has a certain amount of potential energy, which is converted into kinetic energy as it bounces. However, some energy is lost as heat and sound during each bounce, resulting in a decrease in the superball's overall energy and bounce height over time.

5. How do different surfaces affect the bounce of a superball?

The surface a superball bounces on can greatly affect its bounce. A harder and smoother surface, such as concrete, will result in a higher bounce compared to a softer and rougher surface, such as carpet. This is because harder surfaces are better at transferring the superball's energy back to it, resulting in a more energetic bounce.

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