ruthless,
heres a question ive always wondered about. does a boxer hit harder with, or without a boxing glove on? does the added weight of the glove add more effect? or does the cushoin of the glove take power away?
We'll ignore vectors here because it makes the answer a bit complicated. Suffice it to say that the angle at which the blow is delivered obviously makes a big difference. Here we'll assume that the blow is directly head-on. Pow!
The momentum of the bare hand at impact is given by:
P = mv^2
The total momentum of the gloved hand will be greater than the bare hand at impact by:
P = (m(0) + delta m(g)) ( v(0) + delta v(g) )^2
where
m(0) is the bare handed mass
delta m(g) is the change of mass when the glove (and wraps) are added
v(0) is the velocity of the bare fist and
delta v(g) is the change in velocity when the glove is added.
The bare hand will likely have more velocity so its possible that it can have equal or greater momentum than a gloved hand. But if we treat the two scenarios as having equal velocities then we have:
Energy transferred to the body of the other boxer is very different between a gloved hand and a bare hand.
First, the gloved hand transmits the energy over a much larger surface. The greater damage is caused by a focused impact that delivers the energy through the smallest surface area possible, e.g. a boxer strikes the other boxer on the forehead with a 50 fps blow from a gloved hand weighing ~30 oz versus the same boxer being struck in the forehead by a 1 oz steel pellet traveling at 50 fps. Which situation is most likely to result in serious brain trauma or death?
Second, the glove is very pliable as compared to the bare fist. Not only is the energy delivered over a larger area it is delivered over a longer period of time. As the glove compresses it is transferring energy to the other boxer. The bare hand is a semi rigid surface. It delivers the energy very quickly by comparison. You might recall Rainman and me discussing elastic vs. inelastic collissions a few months ago. This is a similar situation.
The bare hand has less mass but it is more efficient at delivering energy over a smaller surface and over a shorter period of time. Bare hand wins.