Where is your evidence?
A 95gm viscaria will be faster than a 80 gm one due to the difference in mass. Obviously a soft paddle will be different from a hard one. That is taken in account by the COR.
Again where is your evidence? How does the mass affect the COR? If I keep increasing the mass how does it increase the COR? There is a limit to how high the COR will go. I would like to see your explanation.
The Teiffenbacher tests show COR does vary as a function of impact speed.
http://www.ittf.com/ittf_science/SSCenter/docs/199408014 - Tiefenbacher - Impact.pdf
I think most of the drop in the COR as a function of impact speed is caused by the different amounts of deformation of the TT ball.
I missed that, my evidence is experimentation of course, COR is an experimental value, not something you can "caluculate", just like the young module or friction coeficient, there is correlation between wood density and it's COR. I used to have up to 10 YEO, I made a static measure for various impact speeds ( ball thown at 1m, then 2m, you can evalute the impact speed with 1/2gt² to find t and then calculate gt to have the approximative speed ), the denser the wood (since all blades had same composition, same tickness and shape), the higher the COR.
But I know, 10 is not enough and is not a statistical valulable sample, but its better than nothing.
To be done correctly (the evidence you are asking for), yeah it requires far more sample, enough to approximate COR as a random variable :
- take about 1000 of YEO of given weight (for example 84-85gr), do expérimentations, then we have to use the law of large numbers and normal distribution to evaluate the standard deviation of the COR and the average COR, we call the average COR, CORa.
- Then we have to do it again for an other given weight, for example we take again 1000 YEO of 92-93gr), redo the experimentations, evaluate the average COR and standard deviation again, we call the average COR, CORb.
- and only then, and if there is more than 3% differences between average CORa and CORb, we can consider that wood density as impact on the COR, and only for only one given blade : the YEO.
Do you understand why asking for "evidence" here makes no sense ? Because here is the path to provide the evidence, and I won't do that for anyone and certainly not for someone assuming the COR remains unchaged with wood density.
But, anyways, assuming that the COR is unchanged while the wood density changes, your entire point............makes no sense at all, and if you have made some scientifics studies, you should know it. But if COR remains unchanged, man, you deserve Nobel of physics.