Is the rate with which an object gains speed when it is dropped dependent or independent of the object's weight? (gravitational force)
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It is usually independent of the object's weight.
Weight is given by $W = mg$, while Newton's second law says $F = ma$. Equating the two, the mass cancels out, and $a = g$. So the acceleration is usually independent of the object's weight.
Of course, there are possible subtle effects (like air resistance) that can change this conclusion.
Allure
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