Cool...I wish I had your physics teacher! If we tried that experiment in NJ, somebody woulda gotten locked up!
When I asked my physics teacher about this (I asked, if my .270 Win carries 2850 ft-lbs of energy, then if you had a car that weighed 2850# and parked it on a perfectly smooth frozen lake, and shot it with the gun barrel perfectly level, then the bullet should push it a foot...right?) she said that a large portion of the energy would be converted directly into heat -- or indirectly into heat via sound -- rather than moving the car, and some of it would be carried away in the bullet fragments that vectored outward from the impact site, and some of it would be expended punching holes through the steel, etc...
TBH, I'm still mystified by the difference between MV and MV² (now you know why I dropped out of engr school LOL) ... maybe if I manipulate the units algebraically, some units will cancel out somewhere and it will become clear.
Let's see... M is mass is mass...V is distance/time...so does V² equal distance²/time² or distance²/time or distance/time²? This is starting to frustrate the crap outta me...where's Mad Professor?
ETA: Got talking about this with a friend who's a millwright, machinist and former engr student like me, and he got me thinking about it right, I think. As he said, for some tasks, like driving a big heavy pin out of a hole, you're better off with a BFH going slower than a small hammer going fast, and I've noticed that, too. For example, if you're peening something over like a rivet, a small/fast hammer is good for upsetting/expanding the rivet, but if you're driving a big pin out of a hole, a bigger/slower hammer is better because it doesn't mushroom the head of the pin so much. This seems to be related to the hammer speed, where if you're trying to accelerate the struck object too much, it tends to splay out the force sideways more, causing mushrooming/upsetting of the metal. So by that logic, I guess a big heavy axe is gonna be better for driving wedges than using a small axe and swinging for the fences... I may not
always be wrong but when I am, I go down kicking and screaming.
Sorry for the thread derail, OP!