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Vigorous

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To check if this law works, we measure the left hand side and the right hand side and if they are equal then the law is working.

To measure acceleration, we rapidly measure three positional measurements. Without appealing to the notion of the pull of gravity on an object, we measure the mass as follows, take a chunk of some material and define it as 1 Kg then proceed to find masses of other objects using a spring. We take a spring hook one end of the spring to a wall and displace the other by some amount x from equilibrium. Measure its acceleration. Then take the unknown mass and displace it by the same amount x. Assuming that under the same conditions the spring will exert the same force as in the case of 1Kg mass. So mE=1. a(m=1)/a(mE). From this know we know how any object can be attributed a mass and that mass is a measure of the resistance to acceleration for a given force. But now, how can we measure F without circular reasoning and saying that F=ma or when making a premise we are assuming its true?