Can't argue with the textbooks, can we?
What you are doing illustrates a fundamental problem with how physics is taught and learned at the novice level. You are citing a forumula with no understand of when and how it can be applied. In specific, that is to do with average forces applied in a linear manner.
Your first point also implies that speed decreases as mass increases, this is also not true because in the human body you will apply more force under a heavier load. This is obviously false to anyone who uses hand tools dynamically. Any carpenter for example knows he can swing a 16 oz framing hammer just as fast as a light finish hammer. So the relationship you implied is trivially negated.
And as noted you should not be talking about mass at all when dealing with acceleration but the inertial moments because the motion of the knife is primarily rotational.
Are you saying impact mechanics, specifically force, don't apply to chopping tasks?
Not in the way you are applying it. As I noted, this was discussed in detail with the real math/physics in threads started by possum where he both makes, uses and modifies knives according to those principles. In those threads the relevant math is noted and discussed as well as specific knives which were constructed according to those principles, with the relevant references and specific user test data by the maker.
Forgot to ask this earlier, are you also saying a "chopper" doesn't need to be sharp and possess some measure of wear resistance?
All mine initially shave and the included edge angles are <20 degrees outside of the microbevels. A high carbide volume by the way also DECREASES push cutting sharpness, again this is a published fact.
Yes, they don't need significant wear resistance because the major source of dulling will be deformation/fracture. There are also heavy downsides to high wear steels in that they are very brittle and prone to fracture in the sudden and violent contacts that you can get when actually using blades outside, vegetation hides rocks etc. . Now all that wear resistance did was cause more damage to be induces and make it take much longer to repair.
And yes, high carbide content reduces corrosion resistance so long as it's not associated with Chrome. That's why they call them stainless steels, most of which possess high carbide content.
A high carbide content itself will not enhance corrosion resistance because that is only dependent on the free chromium in the steels. Carbide will actually deplete chromium in the area around the carbides thus reducing the corrosion resistance, and yes, even vanadium carbides have chromium in them. In particular the steel being used in the above knife is actually a high chroimum carbide steel.
If you want a high corrision resistance in a stainless steel you go with something like 12C27M which has no primary carbides and MUCH higher corrosion resistance than 440C and its variants. It is also much tougher at the same hardness, easier to grind and cheaper. It is ideal for such a knife given that it is optomized for the exact critical properties. It is essentially a stainless version of the carbon/low-alloy steels the ABS guys use.
Now the obvious question would be if you need high carbide in a stainless for a chopper, why are all the ABS guys not using high carbide in the non-stainless. Would anyone argue because they are using low-wear steels that the performance of a 1084 steel from Cashen is a low performance chopper. Of course not, that would be absurd. But that is exactly the claim made when it is said that high carbide steels offer superior performance.
They of course don't which is why no traditional working blades of that type are ever made from high carbide steels. It is also why no one complaints of problems with edge retention from knives from Kirk and company in spite of the fact that they use steels which have very low wear resistance, in both their choppers as well as their utility knives. As Landes has noted in detail, the edge retention of high carbide steels is actually INFERIOR in regards to retaining a high sharpness. Again, measured fact, not vague opinion. High carbide steels just allow a knife to stay dull for a longer period of time.
-Cliff