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Old 06-09-2009   #1 (permalink)
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Repulsive versus Attractive force, one always wins?

Consider the following,

Any two objects that each consist of a set of two hypothetical poles, or to say, point source of forces, where these points have EQUAL positive and negative, or to say, attractive and repulsive forces, when placed together should ALWAYS find that the attractive force will win.

IE, if I have two magnets, each with a north and south pole, and I place them in space close together, arranged in a manner that they repel eachother, theoretically the attractive force and/or action will always have its way, such that, the magnets will bond together.

Here is the reasoning for this assumption. Due to the fact that a north and south pole (negative positive) are separated by a given distance, when a force "pulls" the object towards another object it will act like an arrow, "flying attractive tip at the head" and thus the attractive end is closer to the source of attraction than the repulsive end. When a force pushes an object, it will behave like an arrow flying backwards, and will tend to want to turn around to fly tip first due to leverage advantages, which then again aligns the attractive force closer to the source than the repulsive.

So one could say that, in this kind of particular case, where two opposite forces are competing for acceleration, the attractive force will have the advantage.

An expression of this could likely resemble the following equation (assuming the forces remain active at all times):
F_{net} = F_{orce}A - F_{orce}B

\downarrow


F_{orce attraction} =  K_{constant} \left ( \frac {f_{a1} f_{a2}}{r^2}  -  \frac {f_{b1}f_{b2}}{r^2} \right )

f_{a1, a2} being source of force, be it mass or charge etc, where "a" represents the closer attractive end
f_{b1, b2} being source of force, be it mass or charge etc, where "b" represents the further repulsive end
Ksome given constant if needed
r^2 is the distance between the two point sources




The equations being a bit beside the point however.

In this kind of hypothetical scenario where two forces are competing for dominance in direction of acceleration, is it not true that given the bodies have a given length between there two poles that attractive force will always win in the end? Furthermore, in the process of the attraction force winning while competing with a repulsive foce, the Net Force will be significantly reduced to appear weak, as seen in perspective of "from action at a distance"


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