You didn’t read it, it is literally telling you you are wrong.
By experimenting with the acceleration of different materials, Galileo Galilei determined that gravitation is independent of the amount of mass being accelerated
“… in a uniform gravitational field all objects, regardless of their composition, fall with precisely the same acceleration.”
What is now called the “Einstein equivalence principle” states that the weak equivalence principle [above] holds
Tests of the weak equivalence principle are those that verify the equivalence of gravitational mass and inertial mass. An obvious test is dropping different objects and verifying that they land at the same time. Historically this was the first approach – though probably not by Galileo’s Leaning Tower of Pisa experiment[19]: 19–21 but instead earlier by Simon Stevin,[20] who dropped lead balls of different masses off the Delft churchtower and listened for the sound of them hitting a wooden plank.
Between 1589 and 1592,[1] the Italian scientist Galileo Galilei (then professor of mathematics at the University of Pisa) is said to have dropped “unequal weights of the same material” from the Leaning Tower of Pisa to demonstrate that their time of descent was independent of their mass
Newton measured the period of pendulums made with different materials as an alternative test giving the first precision measurements.[3] Loránd Eötvös’s approach in 1908 used a very sensitive torsion balance to give precision approaching 1 in a billion. Modern experiments have improved this by another factor of a million.
Experiments are still being performed at the University of Washington which have placed limits on the differential acceleration of objects towards the Earth, the Sun and towards dark matter in the Galactic Center.[45] Future satellite experiments[46] – Satellite Test of the Equivalence Principle[47] and Galileo Galilei – will test the weak equivalence principle in space, to much higher accuracy.[48]
With the first successful production of antimatter, in particular anti-hydrogen, a new approach to test the weak equivalence principle has been proposed. Experiments to compare the gravitational behavior of matter and antimatter are currently being developed.
Ah, I’m not saying there’s a different force being applied to feather vs. hammer. The meme above doesn’t mean that they “fall faster” in the sense that the hammer falls at a higher velocity. It’s rather colloquial usage of “faster” to mean “finishes sooner”. Because what does happen, is that the hammer collides sooner with Earth, since the hammer pulls the Earth towards itself ever-so-slightly stronger than the feather does.
I guess, for this to work, you cannot drop hammer and feather at the same time in the same place, since they would both pull Earth towards themselves with a combined force. You need to drop them one after another for the stronger pull of the hammer to have an effect.
But setting mass_1 as Earth’s mass and mass_2 as either the feather’s or hammer’s mass. A higher mass_2 ultimately leads to a higher force of attraction F.
Wut? This does not turn off gravitational pull for objects other than Earth.
Or I’m misunderstanding what you’re trying to say, but yeah, no clue.
You didn’t read it, it is literally telling you you are wrong.
Ah, I’m not saying there’s a different force being applied to feather vs. hammer. The meme above doesn’t mean that they “fall faster” in the sense that the hammer falls at a higher velocity. It’s rather colloquial usage of “faster” to mean “finishes sooner”. Because what does happen, is that the hammer collides sooner with Earth, since the hammer pulls the Earth towards itself ever-so-slightly stronger than the feather does.
I guess, for this to work, you cannot drop hammer and feather at the same time in the same place, since they would both pull Earth towards themselves with a combined force. You need to drop them one after another for the stronger pull of the hammer to have an effect.
So, this is also going off of this formula:
F = G * mass_1 * mass_2 / distance²But setting
mass_1as Earth’s mass andmass_2as either the feather’s or hammer’s mass. A highermass_2ultimately leads to a higher force of attractionF.So in that equation, let’s say mass 1 is earth. G and distance will be equal in both instances of dropping.
Rewrite equation:
Distance^2/ G*mass 1 = mass 2 /force
And
Distance^2/ G*mass 1 = mass 3 /force
Therefore,
Mass 2 /force = mass 3 /force
F = m*a
Mass 2 / mass 2*a = mass 3 / mass 3 * a
This cancels out to show that a = a, their acceleration is the same.