Jose wrote:
It was obvious that heavier
things fall faster (feather, stone, duh)
Actually, they don't.

Correct. But it was obvious that they do.

Boy, I hate to be pedantic about this, but in a vacuum the heavier object
_will_ reach the surface of the earth faster than a lighter one if both
are released the same height above the ground. First, the forces are
equal on a mass Mo and the earth Me a distance h apart from their
gravitational centers; the equation being:

F = G*Mo*Me/(h*h)

The acceleration of the earth (Ae) and object (Ao) relative to a fixed
frame of reference are derived from F = m*a and the above gravitational
equation:

Ae = G*Mo/(h*h)
Ao = G*Me/(h*h)

The net closing acceleration in a fixed frame is:

A = Ae + Ao

Therefo

A = G*(Me + Mo)/(h*h)

But since Me Mo (Me ~= 5.98*10^24 kg), then to a very good
approximation we can ignore adding Mo up to values of ~10^18 kg and say
the closing acceleration is just:

A ~= G*Me/(h*h)

But the bottom line is under "ideal" conditions a heavy stone "falls" a
teeny tiny miniscule bit faster to the earth than a light feather would.

End of pedantry. ;-)

(G ~= 6.67*10^-11 N*m^2/kg^2 and h ~= 6.37*10^6 m)