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F = mg

The basic formula is F = ma (F - force, m - mass, a - acclereation), but if the object is free falling we already know that his acceleration equals gravity, g.

In terms of the question that was asked, which is always a nice way to respond,

the ratio of force to mass for all freely falling objects is the acceleration of gravity.

That's always the same number, everybody wants to know why, and this question

is a super way to explain it.

The force on the falling object is its weight. F = m a

Divide each side of that equation by 'm', and you have a = F/m

Now look at that fraction. The 'F' on top is the Force of gravity, which we call 'weight'.

The more mass an object has, the heavier it is. That means that 'F' depends on 'm'.

So there's an 'm' involved in the top of the fraction, and also an 'm' on the bottom.

If 'm' changes, then the top and bottom of the fraction change together, and the

value of the whole fraction doesn't change at all. The value of the fraction stays

the same, it's the ratio of weight to mass, and that's always the same number . . .

the acceleration of gravity.

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12y ago

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