As a theoretical matter, this equation predicts that objects of different mass will fall at different rates. As a practical matter, the vast differences in m1 and m2 means that it probably isn't measurable. Our intuition is correct, but our magnitude of estimation is far off.
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The acceleration an object experiences from gravitation is independent of it's own mass, but not the mass of the object it is attracted too. This doesn't depend on the values of M1 and M2. M1*a1 = F1 M1*a1 = (G*M1*M2)/(r^2) ---> a1 = (G*M2)/(r^2) http://www.astronomy.ohio-state.edu/~pogge/Ast161/Unit4/gravity.html …
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Btw, the constant G - the gravitational constant - is one of the natural constants determined with least accuracy: https://en.wikipedia.org/wiki/Gravitational_constant …
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Well that is providing you exclude the fine structure constant Alpha that is very approximately 1/137
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Why does force between two objects decline exponentially? What physical reality would be violated if force declined linearly? (R instead of R^2). Genuine curious ques.
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I'm not sure if this is correct, but i always imagine it analogous to light: if light spreads out, the area that the light covers grows proportional to r^2, so the intensity of every single point shrinks proportional to r^-2
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G. William Bonaire (1842-1918) explained his idea in simpler terms: “The theory of EarthSuck is the most elegant of all theories to comprehend. ES=sn/st EarthSuck is the ratio of suckness to suckitude.” He also was developing a physical theory to explain transubstantiation.
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finally an equation that I know of.
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I’ll get right in that one seems like I should know that ha ha
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