Tweaking Newton's Law of Universal Gravitation

I answered a question on Quora about the consequences of Newton's law of Universal Gravitation being in inverse law and not an inverse square law for 60 seconds. The outcome is not so good, what with all matter acting as a black hole and all.

What would happen if the law of gravity becomes ~1/r instead of ~1/r² for 60 seconds?

Colin Turner's answer: All matter in the Universe would act as a black hole for 60 seconds. Which could be bad? You may recall that work done against a Force is given by WD = F.s I.e. Force times distance. In any varying force you would have to use the big daddy of multiplication : integratio...

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