Does Allomancy actually work according to physics?

[M.D. Christainson]

I have a quick question here. Is the pushing power of steel pushing actually a direct correlation to weight? The reason for this is, the text in the books say, yes, but their actions say no. Weight is, according to physics, the force that gravity exerts on an object. I think it's equal to mass x height/ distance from the ground x 9.8, but I could be wrong. Either way, if the force of a push is exactly equal to the user's weight, an allomancer could never fly like they do. This is because, In order for them to fly the force of gravity would need to be negative on them but the force of the push (weight) - the force of gravity (weight) = 0, not a negative number. My only theory is that an unrestrained/uncontrolled push equals the terminal velocity of the user.

[Steel Speedster ♂]

Push force is proportional, but not equal, to weight. A heavier person exerts more force than a lighter one, but both can exert force much greater than the force of gravity.

[Duxredux he/him]

This is probably what you're looking for.

Your instincts that it doesn't seem to always follow Newtonian physics is correct, but this is much better explained in the above thread.