Do heavier objects fall faster? This question has been asked multiple times here and all over the internet yet I can't find a conclusive answer:


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*Some claim that heavier objects do fall faster: Don't heavier objects actually fall faster because they exert their own gravity? 

*Others claim that all objects fall at the same speed regardless of their mass: Free falling of object with no air resistance
Which one is the right one?
 A: Suppose you pick two people at random. From one, you pluck a single hair from their head. Is it possible to tell who had the hair plucked by weighing the people?
Technically, plucking a hair makes a person very slightly lighter, so you get a tiny bit of information about who had the hair plucked by weighing the people. But the information is very slight because the effect is so small that for practical purposes it may be ignored.
Similarly, heavier objects are mathematically predicted to collide with Earth very slightly faster because of their gravitational effect on the Earth. But the effect is so preposterously small as to be meaningless, so it commonly ignored.
The answers you linked don't disagree with each other. One isn't right and the other wrong. They simply need to be interpreted in their own context. People don't try to account for every little possible influence, like whether a hair was plucked from someone's head or whether they've trimmed their fingernails recently when talking about a human's weight. Similarly, they don't always try to account for every tiny phenomenon and make every statement perfectly precise when they talk about physics.
A: In one sentence: 
More mass means stronger attraction and less buoyancy (they fall faster), but the effect is negligible in most cases.
