What "jargon" - give an example and show us how you would instead phrase it.Furcurequs wrote:MrVibrating,
After having spent a fair amount of time trudging through your thick and heavily made up jargon,
You mean please don't bother correcting your stupid errors?I actually was able to finally figure out what you were trying to do. So, please don't bother repeating yourself.
Dude, your grasp of what i'm doing is revealed below, and you've no idea what you're even doing..Since I do understand what you are trying to do, that is why I'm now trying to show you what you've done wrong with your math.
Energy is conserved, so obviously the system will have 96 J less work done upon it. What is that work, then, if the net momentum is not increased? Where'd that energy go, and why doesn't it have a momentum rise proportionate to its KE?So, let's first consider what the conditions would have been like if you hadn't added your 96 Joules of energy to the falling system of mass...
This should be a laugh..
Yes, it would be 865, but close enoughWe would have had two 1kg masses each with an initial velocity of 19.62 m/s downward that accelerate downward for 1 second in the earth's gravitational field.
We can calculate the distance they both fall:
S = Vi x t + 1/2 x g x t^2
= 19.62 m/s x 1 s + 1/2 x 9.8 m/s^2 x (1 s)^2
= 19.62 m + 4.9 m
= 24.52 m
We can calculate the total work done on them due to the force of gravity:
F x d = m x g x h = Fg x S (from above)
= 2 kg x 9.8 m/s^2 x 24.52 m
= 19.6 x 24.52 J
= 481 Joules
We can calculate their total energy after the 1 s fall:
KEinitial + F x d (from above) = 1/2 mass x Vi^2 + 482 Joules
= 0.5 x 2 kg x (19.62 m/s)^2 + 482 Joules
= 385 Joules + 482 Joules
= 867 Joules
Yes.We can calculate their final downward velocity from this:
Vf = (KEf x 2 / mass)^0.5
= (867 Joules x 2 / 2 kg )^0.5
= 29.4 m/s
...and we can, of course, calculate the downward momentum of both masses:
P = mass x velocity
= 2 kg x 29.4 m/s
= 58.8 kg x m/s
OK...
Yes! So where did that extra 96 J go then? What has it been spent on, and why are you just ignoring this? Not very thorough are you?MrVibrating, does that number look familiar to you?!
It should!! ...lol
...because it is the same total momentum that you have in your example even with your added 96 Joules of energy! You have bought nothing!
Are you really this stupid?So, do you need me to explain this to you?!!!
Well, let me do that anyway...
Since you added energy internally to the falling 2 mass system, the upward and downward forces sum to zero and so don't change the total system momentum in the vertical direction at all! ...lol
Dwayne, in your above example, all of the momentum came specifically from dropping the two masses.
It all came from GPE.
When we re-lift the masses, what will happen to all that momentum?
That's right - the KE it is part of will be converted back to GPE, leaving a remaining momentum of zero
Yes Dwayne! Yes it is.It's a zero sum game. ...as I've already tried to point out.
The momentum you think you bought was only borrowed from the upper mass and so whether you know what you are doing or not, it's going to get paid back in reality.
Your best bet is to just try to hang on to the energy you are inputing.
...sorry...
Because when we do this, the net system momentum now has two sources - GPE, plus the 96 J impulse!
So when we re-lift the GPE, returning the 9.81 P momentum of its associated KE, we still have the other 9.81 P momentum input via the 96 J.
And it is of one sign only.
So the GPE game is a zero sum deal, for both energy and momentum.
But the work done by our 96 J impulse is conserved.
And specifically, it is a unidirectional rise in momentum that was raised exclusively by the internal expenditure of work, at no cost to the GPE.
So it doesn't self-cancel.
We can equalise this between the two masses and repeat that cycle, in principle indefinitely.
No matter how fast our ambient velocity rises, each 96 J impulse buys another 9.81 P increase in net momentum.
And as you dementedly insist i repeat ad nauseam, after 5 such cycles we open a white hole and flesh-eating ogres start to pour out at an exponentially accelerating rate. I just can't understand what's so complicated, you're just adamantly refusing to follow process, so if you're not just trolling, please address this point directly in your reply, as this is the gain, a bankable net rise in momentum after a zero-sum GPE interaction...
Not a greater net magnitude of momentum!
So no, we don't gain more momentum than if we'd simply dropped the masses passively! You're absolutely correct, but this has absolutely nothing whatsoever to do with the gain principle!?
My god, the effort..
You don't wanna be Prometheus, much less Atlas, it's waay too much responsibility. I get it.
You want Bessler's wheel to be safe, clean OU. Totally understand your mental block.
Or maybe you and Marchello are busy co-writing a patent application of the current art, whatever.
We're not gaining more momentum than we could generate from GPE... we're simply gaining momentum.
And accumulating it.
At a fixed cost, unaffected by rising speed.
Five purchases of 9.81 P at 96 J a pop is 125% over-unity.
You've built a straw man and completely avoided addressing or even acknowledging this central issue. Whether this is intellectual dishonesty or just basic human density, i could've trained a friggin' parrot this in less time.