DoomslugTD

I like this, It does seem that m might effect only the range, though I still like to argue that M as a place in the equation as well. Maybe it is of the form F=OM*e^-d {d<=Rm} or F=OM*e^-(d/m).

Another note, R can be infinit if that suits the equation.

Alright this is going to be a long one, but I got a few questions. First one is what equation do you think best describes the generall physics of steel pushing, or is there a better one I havn't thought of. This thinks of all objects as point masses. F is force O is allomatnic output (This puts together all the purity of metal/ strength of allomancer stuff) M is mass of allomancer m is mass of metal R is range d is distance between allomancer and object. f() is some undertimined function of the variables inside. 1. F = OMm {d<=R} 2. F = Om {d<=R} 3. F = O(M+m) {d<=R} 4. F = O*f(M, m) {d<=R} 5. F = O*f(m) {d<=R} 6. F = OMm(R-d) {d<=R} 7. F = Om(R-d) {d<=R} 8. F = O(m+M)(R-d) {d<=R} 9. F = O*f(M, m)*(R-d) {d<=R} 10. F = O*f(m)*(R-d) {d<=R} 11. F = OMm/d^2 {d<=R} 12. F = Om/d^2 {d<=R} 13. F = O(m+M)/d^2 {d<=R} 14. F = O*f(M, m)/d^2 {d<=R} 15. F = O*f(m)/d^2 {d<=R} For the ones bellow range is determined using O and R is considered an arbitrary scaling constant if used. 16. F = OMm {d<=RO} 17. F = Om {d<=RO} 18. F = O(M+m) {d<=RO} 19. F = O*f(M, m) {d<=RO} 20. F = O*f(m) {d<=RO} 21. F = Mm(O-d) {R<= 1, d<=RO} 22. F = m(O-d) {R<= 1, d<=RO} 23. F = (m+M)(O-d) {R<= 1, d<=RO} 24. F = f(M, m)*(O-d) {R<= 1, d<=RO} 25. F = f(m)*(O-d) {R<= 1, d<=RO} 26. F = OMm/d^2 {d<=RO} 27. F = Om/d^2 {d<=RO} 28. F = O(m+M)/d^2 {d<=RO} 29. F = O*f(M, m)/d^2 {d<=RO} 30. F = O*f(m)/d^2 {d<=RO} The second question is somewhat encompassed within the previous one, but does the weight of the allomancer affect push strength. I have seen confliclicting results, both seeming to have merit but im wondering if there is WOB. In my head the book best lines up with the idea that it is dependent on weight because if it wasnt we would see kelsier (who weighed twice as much as vin) accelerate twice as slowly in any given scenerio as vin, irregarding any difference in allomantic strength, which is arguably not what happens throughout the books. Additionally when wax does his strongest pushes he always weighs way more, for example when he crushes the building he makes himself way probably somewhere close to several tons. People try to argue that it just let him stay in place which let him keep the same distance from the building causing the strong push but if he really weighed that much I doubt any steel push would have actually overcome the pull of gravity on him and he would have just fell albeit at a slower rate, and would have definitly not caused the amount of damage it did. My final question is about how many things you can push on at once. If you push on two objects do you push with half the force on each, or full force on both. If its full force is there a limit to how many things you can push on? if there isnt couldn't you just put a bunch of coins underneath you and push on all of them causing a massive amount of force as you do hundredes of simultanious pushes. There is also another possibility for the functions that the mass of the metal you push on only effects the range of the steelpush and not the power, as from the book we can be pretty confident its not a 1:1 ratio for mass to power.

So effectivly by pushing on multiple items you can get more bang for your buck (more force per steel used) then pushing on individual objects, though im guessing this is balanced by it taking more skill to push on multiple objects at once

Thank you, that makes a lot of sense.

Thank you! That clears up a lot of things, would you have any idea if pushing on multiple items once splits the force of you push between them all or just applies the force equally to all (if the second one is the case, does that mean you could get more net force out of pushing multiple objects at a time)

I was wondering something, I have always found the mecahnics of steel pushing somewhat vauge when I read, so I wanted to ask a couple questions. First, when you are burning steel you can see the blue lines, when you push on these lines does it take more steel? if not, can you just push on a ton of different objects to create a higher total net force out of a small amount of steel? Second, I have heard contradicting things on this, does the weight of the allomancer effect the strength of the push at all? if so does it just make the push stronger for the same amount of steel, or does it allow you to use more steel to push harder? Third, in the books it mentions that larger objects have larger lines pointing to them, and are easier to detect from further away, does this mean you can push harder on these large objects. At a longer range? and if so does this require a greater amount of steel, or does it just become more effeciant? Thank you!

So for the point about air resistance, I am fully aware that there is a speed that is fast enough that it will hurt him, but mistborns are shown to not be hurt by things like duralimen pushes, so what im saying here is that he could experiment to get the exact right conditions to go as fast as safely possible. As for my thought experiment, I was more so thinking that wax would push off something anchored to the ground (such as a pole which is firmly planted) as long as he figured out the right weight for the right objects he wouldnt shatter them. If he does that, then when he pushes off the object while weighing a lot he would move away from it a lot slower then if he were a normal weight, meaning he spends more time closer to the object, therefore gaining greater amounts of energy, he could then reduce his weight to the point where he flies very fast, but not fast enough to kill him, thus simulating something around a duralimen push, or even a little bit stronger.

For the first part, im not saying that the forces of drag would not bring you back to equilibream after a little bit, but the change in weight would be a functionally instantanious change in speed that would let you go much faster for the short amount of time, meaning if you built up enough energy I think you should be able to still launch yourself quiet far. As for the second part, I know that your push does not scale entirly off the weight, though I remember reading somewhere that it does have an effect (for example when wax is super heavy it lets him push a little harder) but not only does the weight do that, it also means that when you steel push you move slower away from the object, meaning you have more time to build up energy from the push.

Thank you very much, that makes a lot of sense! as a follow up, would that mean that if wax for example, intentionally saved up a ridiculous amount of weight, he could push off an anchor while weighing an enormous amount, gaining an incredible amount of energy both because he is pushing stronger (cause of his increased weight) and his distance from the anchor is increasing slower (again cause of his weight) then rapidly make himself as light as possible to simulate a super powered duralimen push?

So, I havn't found anything on this, so if there is already an answer out there please tell me. I was wondering about storing weight and the whole conservation of momentum thing. For example according to science, if you let yourself fall while being 200kg you would be falling with an incredible amount of energy (at terminal velocity (66m/s) it would be about 435600 joules), if you then suddenly stored your weight untill for example you were 10kg you would suddenly accelerate to 20 times your previous velocity (about 1320m/s) untill air resistance slowed you back down, but it does not really seem like the books emphasize this that much and I was wondering if anyone has an explenation? also as a fun thought, if that is how it works, an iron compounder+lashings could effectivly become a rocket, all they would have to do is make themselves like 10000kg then triple lash themselves in a direction and let themselves get to terminal velocity, they could then store weight until they weighed 1kg and go 10000 times faster (around 198000 m/s), and they can just heal from the damage casused by this with stormlight.