I have stated the case...
What does your poor example of "your" definition of cop have anything to do with this topic. There is a thread already started with the exact title and problem you like to site that you authored. Yet here it comes again in a thread that was going along great where you have to put the same example yet again.
I would say the cop of the ball is 1. What gets realized as it drops gets converted very efficiently by the balls material. It Stores that energy in a deformation of the balls structure at some point it can not store anymore and rebounds with what it could store in it's structure based on the composition of that material. You input was to only get it to a desired distance above the ground. Sorry but that was purely donated because as you said it means nothing to the ball. The potential at that point is merely a calculative method that we could predict the outcome if it was to be dropped. Your input has been wasted. What happens to the ball after the point that it disconnects is purely the balls advantage. Since you are not riding in it or on it is pointless.
You are not attached to the ball so no matter how many times that ball bounces it means nothing to what it took to get it to the starting position or even relates to how it transforms the energy it does realize through inertia when it hits the surface into a resulting bounce back up. Did you even test the ball to see how much 1 joule of energy does to deform it and how much it converts that deformation back into it's inertia going the opposite direction?
A better test of your example would be to deform the ball from the ground level and record you results. That way you actually give the energy or impart a potential to the ball itself through the deformation of it's structure and then record your results. Just dropping it into another environment does nothing for your input you suggest you are imparting. Take for instance space outside of our planet. The reason things will go forever in the perfect space is that there are no outside resistances. There is no outside opposition to your input. Pushing the ball with 1 joule of force will net a never ending journey of the ball. Does that mean you have an infinete cop. Well from your point of view yes and that is wrong. When that ball does meet opposition that joule will be less and less as it travels but that does not mean that the inertia you provided gets any bigger in fact it will get smaller. You gave it or imparted it with your joule of energy into inertia of it's mass by pushing it.
Raising the ball working against gravity is not imparting an inertia to the ball or anything else for that matter from your own words because it comes to a rest. Anything that happens to the ball afterwards is only the reaction of the environment when the conditions are met, meaning it has to enter that environment. At that point you have separated from the ball you can not impart any more "input" nor can you take away anything and that is because of that separation.
As for the cop and regauging you mention. When the ball hits the surface and gets the deformation, <-storage of energy in it's material, the ball stops. Meaning it comes to rest in an instance of time after the deformation. This is where you are supposed to reguarge meaning it's potential minus all the resistances(materials, shape, etc.) on the way is the new potential value. Just like it enters the environment the first time this is where it starts again. How can you include the balls successive bounces if it stops in between each bounce?
This is why this example is a poor choice for any cop measurements if cop was related to this at all. For all we know movement of any body in space doesn't cost a thing. The establishment of it's inertia cost everything and you were not responsible for it's acceleration nor it realization of it's potential. The environment is responsible and is the receiver if any gain are to be established which I highly doubt there would be gains because the ball stops eventually.
Aaron as for the comment of holy then though attitudes you might want to look in the mirror. You are not open to new ideas nor are you open to someone suggesting you are in error. If someone points something out to me that I might be in error about I take it with all the intention that the other person suggested it in, in good faith. You on the other hand like to start crap in an unrelated thread which a thread made by you was started already. You want to aregue that then take it to your thread. I did not start this and for some reason you think it is sooo important to bring this bad example up.
Hmmm... just read back a lot of pages and I was the one who brought it up Aaron. I am sorry about that. But my arguement is still in play...
Originally posted by Aaron
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I would say the cop of the ball is 1. What gets realized as it drops gets converted very efficiently by the balls material. It Stores that energy in a deformation of the balls structure at some point it can not store anymore and rebounds with what it could store in it's structure based on the composition of that material. You input was to only get it to a desired distance above the ground. Sorry but that was purely donated because as you said it means nothing to the ball. The potential at that point is merely a calculative method that we could predict the outcome if it was to be dropped. Your input has been wasted. What happens to the ball after the point that it disconnects is purely the balls advantage. Since you are not riding in it or on it is pointless.
You are not attached to the ball so no matter how many times that ball bounces it means nothing to what it took to get it to the starting position or even relates to how it transforms the energy it does realize through inertia when it hits the surface into a resulting bounce back up. Did you even test the ball to see how much 1 joule of energy does to deform it and how much it converts that deformation back into it's inertia going the opposite direction?
A better test of your example would be to deform the ball from the ground level and record you results. That way you actually give the energy or impart a potential to the ball itself through the deformation of it's structure and then record your results. Just dropping it into another environment does nothing for your input you suggest you are imparting. Take for instance space outside of our planet. The reason things will go forever in the perfect space is that there are no outside resistances. There is no outside opposition to your input. Pushing the ball with 1 joule of force will net a never ending journey of the ball. Does that mean you have an infinete cop. Well from your point of view yes and that is wrong. When that ball does meet opposition that joule will be less and less as it travels but that does not mean that the inertia you provided gets any bigger in fact it will get smaller. You gave it or imparted it with your joule of energy into inertia of it's mass by pushing it.
Raising the ball working against gravity is not imparting an inertia to the ball or anything else for that matter from your own words because it comes to a rest. Anything that happens to the ball afterwards is only the reaction of the environment when the conditions are met, meaning it has to enter that environment. At that point you have separated from the ball you can not impart any more "input" nor can you take away anything and that is because of that separation.
As for the cop and regauging you mention. When the ball hits the surface and gets the deformation, <-storage of energy in it's material, the ball stops. Meaning it comes to rest in an instance of time after the deformation. This is where you are supposed to reguarge meaning it's potential minus all the resistances(materials, shape, etc.) on the way is the new potential value. Just like it enters the environment the first time this is where it starts again. How can you include the balls successive bounces if it stops in between each bounce?
This is why this example is a poor choice for any cop measurements if cop was related to this at all. For all we know movement of any body in space doesn't cost a thing. The establishment of it's inertia cost everything and you were not responsible for it's acceleration nor it realization of it's potential. The environment is responsible and is the receiver if any gain are to be established which I highly doubt there would be gains because the ball stops eventually.
Aaron as for the comment of holy then though attitudes you might want to look in the mirror. You are not open to new ideas nor are you open to someone suggesting you are in error. If someone points something out to me that I might be in error about I take it with all the intention that the other person suggested it in, in good faith. You on the other hand like to start crap in an unrelated thread which a thread made by you was started already. You want to aregue that then take it to your thread. I did not start this and for some reason you think it is sooo important to bring this bad example up.
Hmmm... just read back a lot of pages and I was the one who brought it up Aaron. I am sorry about that. But my arguement is still in play...
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