??? A solid ball C with mass m hitting another same mass ball A at velocity v; C stops and A goes off a velocity v (almost - very quick acceleration of A and retardation/deceleration of C and some loss of energy due to compression at hit). What has this to do with Myriads Proposed Design for Progressive Collapse Demonstration? C is supposed to one way crush down A! Not to stop!
Or two solid balls C1 and C2 contacting three balls A1, A2 and A3, the latter being in contact with each other; first C1 hits the three balls A123 and A3 is shot away, then C2 hits three balls C1A12 and A2 is shot away. Simple solid mechanics! Has nothing to do with structural damage analysis, e.g. WTC1!
WTC 1! Part C consists of say 13 floors, C1, C2 ... C13 (roof/hat truss) and part A consist of 97 floors, A97, A96, ... A1, with A1 connected to ground. A1 has very strong supports above it - A1 carries A2 ... A97 + C1 ... C13!
So first contact may be floor C1 hitting floor A97.
So what do you expect would happen? That ground below floor A1 flies away?
No, actually the energy that C1 applies to A97 at contact is first transformed into compression of all supports between ground and floor A97 for which you need a force F that C1 applies on A97.
A97 is clever and applies a force -F on C1 and its supports up to C13. What do you think -F does? Does it compress the C supports? Yes, it does! Does it decelerate C1? Yes it should.
As the supports between C1 and C2 are weaker than the supports between A97 and A96 (even with regard to fact that C1 now rests on A97) you can be sure that the C supports fail first if any supports fails (otherwise C bounces on A). What happens then?
Right! C2 drops on C1 that is resting on A97. What happens then?
Right! Supports between C2/C3 fails and C3 drops on C2 that is resting on C1. Etc, etc. Maybe local destruction stops when C5-C13 just bounce?
You see, you cannot one-way crush down a structure A by a small part C of same structure previously resting on A just using gravity energy.
The perpetrators of the WTC 1 9/11 destruction knew this so they planted disinfo to the contrary at once! A man in the street explained to FOX TV that towers just self destruct one-way crush downs global collapses due to local failures up top and a few days later a certain professor confirmed this strange phenomenon small C crushes big A (C rigid though, A very weak to suit!). The shocked public believed it. But they were simply fooled.
As is clear from this and similar JREF threads a one-way gravity crush down of a structure is not possible.