[SampleMan]

That's true, but the "greater gravitational pull" is balanced by that fact that there's a greater mass to be accelerated.

Negative. All mass has the same reaction to gravitational forces, inertia and force are linear. 1000 lb takes more to get moving than 100 lb, but there IS more to get it moving.

[cripplecreek]

Gravity is probably the best know yet least understood force in nature.

We think of people on the space station as being weightless but that’s really just an effect of the free fall they’re in. I think I read that the gravitational pull at that distance from the earth’s surface is less than 1% less than it is at sea level.

[DuncanWaring]

To avoid any complications due to different compositions, instead of a feather use a small iron ball of the same mass, and the USS Missouri, also generally made of iron.

Suspend them each one mile above the surface of the moon.

Each is composed of a collection of iron atoms.

The gravitational attraction between each atom of iron and the moon is the same, thus each atom of iron (assuming all of the same isotope) will accelerate towards the moon at the same rate.

Therefore, since the featherweight piece of iron and the Missouri are both merely composed of many atoms of iron, though in different numbers, accelerating at the same rate, “in formation”, they will both hit the moon at the same time.

This holds for any distance from the moon.