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The way I understand it, this is a very basic law, from which OTHER physical laws are derived - not one which is derived from more basic laws.The way you can confirm it is by making experiments, and observing the results. You will see that more force will indeed result in more acceleration, and more mass will reduce the acceleration. If you measure carefully (and eliminate friction forces and other undesirable forces to a great extent), you'll see that force is proportional to mass, and proportional to acceleration. In other words:

force = constant x mass x acceleration

The rule that "force = mass x acceleration" simply means that the constant is 1. In the SI, the units have been chosen intentionally in such a way that this is the case.

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9y ago

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