The only sentence I found in the whole post which seemed of relevance to this thread, ie the law, was this one. (I'm ignoring helmets because that discussion belongs elsewhere.)
kris27 wrote:The only reasonable regulation seems to be the SPEED LIMIT - say 40 km/h, this is pretty fast for bicycle.
You may ask, why just speed limit? - Answer is very simple, no one has to argue about technical specs. of an electric motors, gears and what ever might be complicated technical peculiarities.
Kris, are you putting your position on the legislation, or is it just an exercise in physics math?
You say 40 km/h is pretty fast. Okay. Then what? Are you in favour of a higher one, lower one, against e-assistance?
I think you've done the reverse of what my teachers warned against. You've given us the detail of your working out but not supplied the answer.