It's not energy that does the damage.
This is a logically and scientifically bankrupt statement. Energy and momentum are
both real, actual, measurable, calculable, well-defined, well-characterized, totally accepted by the scientific community, physical properties of moving objects. Both relate, in one way or another to any damage done by a moving object because it is not possible for a real world moving object to have momentum without energy or energy without momentum.
Depending on the variables available in the particular situation, it may be easier to determine the amount of damage using momentum or using energy in the calculation, but the idea that it's possible to separate one from the other and say that one causes damage while the other doesn't is simply unsupportable from any logical or scientific standpoint.
Momentum and energy are two different sides of the same coin, it's just sometimes easier to approach a particular problem from one side vs. the other. If you try to discount or downplay or ignore one or overemphasize or exaggerate the other, it will not be possible to achieve an accurate understanding of the basics of the science of moving objects.
When talking about damage, it's often easier to look at the problem from the energy side since energy is more simply related to the potential of a moving object to cause damage than momentum. In this particular case, the key factor in understanding the scenario was the impact force which could be quite easily compared using energy and with the assumption that both slides were decelerated to zero over the same distance.
It could have been done with momentum but then one would have to know the amount of time it took to decelerate both slides to zero and that's trickier to determine.
Momentum is the quality of a moving object that causes it to keep moving when it meets resistance....
Momentum is the quality of a moving object that causes it to "try" to keep moving when it meets resistance. Whether it actually does keep moving or not depends on how much resistance it meets, it's not simply a matter of looking at the momentum.
(momentum) drives it forward and through...deforms the object that it hits.
This is not true. Whether there is deformation or not has to do not just with the properties of the moving object (mass, velocity, momentum and energy) but also involves the properties of the materials involved.
Assuming one knows everything about the impact, one could calculate the force applied by the impact using either momentum OR energy, because momentum and energy are calculated from the same two variables. With the force, one could look at the material properties involved and make a determination of what sort of deformation might be expected.
If you look at peening or deformation comparisons for metals, they typically use the force applied as the independent variable, they don't use momentum OR energy. Looking at this from an energy standpoint just made it simpler to get a quick feel for the different levels of force applied.
Momentum is what makes the bullet penetrate...not energy.
It's true that momentum is more closely related to penetration than energy is, but it doesn't "make the bullet penetrate" unless the integrity of the projectile is sufficient and the material properties of the target medium are overcome by the momentum. In other words, it's just one piece of the picture. The simplest part, truth be told.
Again, there is absolutely no way for a moving object to have momentum and not also have energy. The two things can not be separated, they're just two ways to look at the same problem. The fact that momentum can generally be more closely related to bullet penetration than energy does not exclude energy as a quantity that is related to the damage or the penetration caused by the projectile.
Both properties are useful in understanding the resulting damage. The reason I focused on energy was because it made the calculations/visualization easier in the problem that you set up for analysis.
The third one is that the faster lower mass slides don't carry the potential for damage that the slower, higher mass slides do.
Even by your own analysis, this doesn't follow. If they have the same momentum (as you claim) and momentum is what causes damage (as you claim) then clearly the "the faster lower mass slides
carry the same potential for damage that the slower, higher mass slides do". In other words, your statement directly contradicts your analysis from the first post of this thread.
I guess that's neither here nor there. Based on the rough calculations I did, for this particular comparison, the faster, lower mass slides DO carry more (not a lot more, only about 10% more)
POTENTIAL for damage than the slower, higher mass slides do. Whether or not that potential is realized and damage is actually increased has to primarily to do with the material properties of the steel used in the frames (particularly the endurance fatigue limit) and the efficacy of any measures the designer takes to reduce the increased force applied by the higher energy impact.