Haye throws the hardest punches at the moment in the heavyweight division. Ask Barrett that tommorow morning.
I wouldn't use F=ma here, it is the wrong form of Newton's laws to be considering. The impulse-momentum theorem (integral of the change in momentum with respect time) is more important, or more specifically when following through the calculus it is basically just conservation of momentum (but in our case conservation of kinetic energy is more relevant, assuming an elastic impact). But blanket application of formulas to an immensely complicated situation like boxing will only yield erroneous results. If Haye and Valuev had their punch power recorded by punching a static target then Valuev may be able to transfer more kinetic energy to the target than Haye but he would do so in a manner that is considerably slower - and it is a well known fact that the punches that hurt are the ones you don't see - Haye's punches will be considerably harder to see and avoid than Valuev's so likelihood that the energy is transferred effectively to the target is much more likely for Haye. In addition to that, Haye may still be able to transfer more kinetic energy to the target than Valuev given that velocity is more important than mass. Also, how much actual mass is used in punching varies greatly depending on whether they are arm punches or if the momentum is transferred effectively through the legs using correct punching form. Haye uses his relatively small mass very effectively, compare how much more spring there is in his legs to Valuev and you can see how it is possible to transfer as much possible momentum to the point of impact.
Against Cruiserweights. I'd imagine both Klitschko brothers punch harder than Haye, aswell as a few others.
i think a properly thrown punch by valuev is just as hard as haye. or maybe a touch less. but haye makes up for his lack of size and weight by throwing much better punches, much faster, and of course the other important factor, haye ko's people by surprise too. some of the opponents he hurt simply never saw the punch coming. valuev is so damn slow everyone has time to brace against it and also avoid most of the damage by moving, blocking etc. if valuev throws a hard punch with some speed on it and most importantly it hits his opponents flush, then yeah he is quite dangerous. the only problem with valuev and why it seems he is featherfisted against top fighters is because he needs a perfect target. if the target moves etc. then he usually ends up with ineffectual punches that simply just bludgeon his opponent around rather than hurt them.
No logic can be measured like this in Boxing, smaller hands for instance add more pounds per sq inch.. Speed adds the velocity value.. accumelative punches add to many Ko's.. plus, Haye has been mixing in cruiserweight circles.. so KO% is not a factor going into this.. The only way you can find any logical answer is to ask a man who has felt the weight of both mens power in long fights.. Otherwise its all pure speculation........
p4p Haye hits harder, no question. But overall, i think it´s closer than it may seem at first sight. On a stationary target i would imagine their punching power is pretty even. It´s just that Valuev is too slow to connect against most of his opponents. And the argument that Haye has a 95% KO ratio tells us exactly nothing for determing who punches harder.Haye simply is able to connect more due to his superior speed.
How many of those KO's were against heavyweights? That said, i think it's OBVIOUS Haye hits harder than Valuev, plus the big Russian mainly throws arm punches. But to say Haye hits harder than for instance Wlad, i wouldn't be too sure of that.