This is the typical ratios between infinities. You could ask the same question between zeros, a negligible force to hit an object with negligible static attrition.
The answer is in the order of infinities or zeros and it is the reason we expand complex equations using Taylor to understand the behaviour in these extreme cases.
So if the force to to infinity as X^2 and the static force is only order X, the object will move. If the opposite is true, the object will not move. If they are the same order, you look at the ratio of the number in front of the X and if it >1 it will move, otherwise it will not.
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