For anyone wondering it’s because the bowling ball slightly pulls the earth faster toward itself. This amount is too small to possibly measure. But imagine if the bowling ball were the size of another Earth and it’s easier to see why it happens.
Thanks for the non-jargon version
When you drop them at the same time, it doesn’t matter though.
This is fascinating! Both of them accelerate toward the earth at the same rate, but because of the bowling ball’s greater mass, the EARTH accelerates faster toward the bowling ball than it does toward the feather, so it’s imperceptibly faster XD
But they are being dropped at the same time for dramatic effect, so the earth will also be accelerating towards the feather at bowling ball speeds because the feather is next to the bowling ball, therefore they still land at the same time.
That’s only be true if the feather was in the same position as the ball. Otherwise, the earth is moving ever so slightly more towards the ball.
You are forgetting the sun. The earth turns in the direction of sun ever so slightly so if you align the feather next to the ball in the side of the sun, then probably the feather falls faster
Can someone explain how the Earth accelerates towards an object? Is this just because objects with mass attract things?
You got it.
Yes. And that force is proportional to acceleration so it accelerates earth
Thank you.
There’s a video of astronauts doing the heavy thing vs feather in vacuum experiment. I think it was a hammer rather than a bowling ball tho.
they did it on the moon
Yeah
Does the bowling ball ever so slightly increase the gravitational constant because of it’s greater mass? Is that what the right guy is getting at?
The gravitational constant G, no, the mutual gravitational force between the earth and the ball approximated as g, yes.
Edit: Since this is a little pedantic, G is used to calculate g.
But how would that make the bowling ball fall faster? F = G × m₁ × m₂ / r² and F = m₁ × a ⇒ a = F / m = G × m₂ / r², where m₁ is the mass of the ball and m₂ the mass of the planet. So the gravitational acceleration of a bowling ball is independent of its mass (assuming the planet has way more mass than a bowling ball).
I guess the bowling ball attracts the Earth towards it, shortening the distance so it hits the ground faster
because of its* greater mass
This only true when you drop it like it’s hot.
More like failing
I haven’t seen anyone mention this yet, so here’s how I understand it. The feather falls slower in non-vacuum conditions because it reaches its terminal velocity much more quickly than the bowling ball.
Edit: terminal velocity: https://en.m.wikipedia.org/wiki/Terminal_velocity