psikeyhackr wrote:That g is gravitational acceleration.
But the mass m can only accelerate through the distance h if that distance is EMPTY SPACE.
Incorrect.
The mass cannot accelerate through mass strong enough to support it.
Correct. But it can move through it while its velocity decreases, if it had sufficient initial momentum. If a support is compressed enough, it will fail. Then it can no longer support even the static load. Then it DOES accelerate.
You still think the supports afford the full capacity all the way through descent, despite showing you load-displacement curves for steel column numerous times which depict a peak capacity followed by rapid capacity decline after failure. Paper loops don't act like steel columns in that respect.
The critical aspect you (intentionally) overlook is FAILURE.
So the only energy is the kinetic energy of the falling top portion which has to lose kinetic energy to destroy the supports below so it slows down.
Losing some energy is not the same as losing all. You think becauses it loses some energy with each collision, it must eventually lose it all and come to a stop.
Yeah, if it were horizontal! Or upside down. Or if the supports are paper loops, apparently.
But since mass drops further with each failed level, it also loses PE incrementally, even in your model. If it dissipates more KE than PE lost at each level, it will arrest. If not, it won't. It's as simple as that. Yours arrests. Says nothing about the tower.
The washers must be pushed down from above and the paper loop supports must be crushed in the process causing the falling mass to lose velocity and kinetic energy.
Falling mass also loses PE. Empty space has nothing to do with it. Do a few pushups. Do you do work against gravity when pushing upward? Of course. When you go back down, gravity does work on you. Going up, your body gains PE, then loses it going down. Did your arms disappear? Of course not. Your body loses the same PE whether you lower yourself down slowly or someone chops your arms off and you drop.
The difference is the resistive force, which has nothing to do with PE gain or loss.
UNTIL IT STOPS leaving most of the structure intact.
In your model.
Make a physical model do what your mathematics says.
http://www.youtube.com/watch?v=prwvj-npt5s&feature=related
It's not a house of cards, and it most certainly isn't paper loops and washers. It's a ******* building.
Let me guess. It was more than 15% at the top (or is it 10% now?). It wasn't at least 33 stories (the 'special' number you chose for your model). Where will the goal posts go next? Are you going to disqualify it because I didn't build it? Or maybe because it wasn't made of paper loops and washers?
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