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The bowling ball isn’t falling to the earth faster. The higher perceived acceleration is due to the earth falling toward the bowling ball.

  • red
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    18 days ago

    the fact that you got upvoted, you clearly said force on both objects is gM and the feather or ball will move with g BUT earth will move with gM/m1 which is more in case of ball, and no its not acceleration between mases, its the force experiencec by both mases so, fg=m1.a

    • barsoap@lemm.ee
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      18 days ago

      BUT earth will move with gM/m1

      No. Multiplication is associative, you can switch the masses around as you please, nowhere in the formula does it say “the greater mass” or “the smaller mass” you could just as well re-arrange the formula and come up with “earth moves with gm1/M”. Last but not least there’s only one force acting on both objects… and gM/m1 is neither a speed nor a force. G * 100kg / 20kg is 5G. Measured in Nm²/kg² which is the same we started with because the two kg cancel each other out.

      They both fall towards their shared centre of gravity. It’s this “the earth revolves around the sun” thing again, no it doesn’t, they both revolve around their shared centre of gravity (which, yes, is within the sun but still makes it wobble). That centre is very far away from the ball and very close to the earth and both are moving at the same speed towards it (because acceleration doesn’t depend on mass), blip to the next frame of the simulation now the centre of gravity moved towards the ball, next frame still closer to the ball, that is the reason both reach it at the same time, not because one is faster than the other.

      …or so it would be, if the shared centre of gravity of ball and earth wouldn’t lie within the earth so they don’t actually both reach it, the earth is in the way, the rest of the acceleration is turned into static friction: Because they both are still falling even when in contact. But really that complication only exists because they have volumes which is why I factored it out from the rest of the reasoning.

      • red
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        18 days ago

        all that is only brain-rot statements with no technical meaning. lemme make this completly clear

        mf= mass of feather mb= mass of ball me= mass of earth ae=accelaration of earth fg=force experienced by both

        now in case of feather

        force on earth is what? yes thats fg =G.mf.me/r^2

        now thats the net force on earth, now what is newtons law? me.ae=G.mf.me/r^2

        we get ae=G.mf/r^2

        similarly in case of ball ae=G.mb/r^2

        and accelaration of earth is clearly more in case of ball, and yes this is accelaration in non inertial frame study newtons laws of motion again if you didnt know, so your second paragraph is utter nonsense

        instead of nonsense brainrot statements like 'Multiplication is associative, you can switch the masses around as you please, nowhere in the formula does it say “the greater mass” or “the smaller mass” you could just as well re-arrange the formula and come up with “earth moves with gm1/M” tell me where in equations you think i am wrong

        • barsoap@lemm.ee
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          18 days ago

          It’s not nonsense when it makes people understand, buddy. And don’t get all “oh be technical” on me when you say things like “earth will move with <something with the same units as G>”. Something that’s definitely something, but not m/s.

          inertial frame

          I was talking about time-steps when I said frame. Hence “simulation”, and “one frame, then another, then another”, referencing successive moments in time.

          • red
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            18 days ago

            yet another brain rot reply, man i am done,

            ““earth will move with <something with the same units as G>”. Something that’s definitely something, but not m/s” you idiot i was talking about accelwration, if you need units just put in dementions of all the variables, thats trivial stuff you dont understand nlm at all.

            second para is another non technical nonesense

            • barsoap@lemm.ee
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              18 days ago

              you idiot i was talking about accelwration,

              Then why did you say “move” instead of “accelerate”. And the units don’t match acceleration, either. Best I can tell it’s some fraction of a term. If you want it to be an acceleration then you’re missing a squared distance, and if you want it to be acceleration, why are both mass terms in there.

              For someone who throws around things like “that’s non-technical brainrot” damn is your prose fuzzy.

              • red
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                18 days ago

                tell me how Gm/r^2 dosent match acceleration, the fact that i wasted my time on low iq person like you

                • barsoap@lemm.ee
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                  18 days ago

                  That’s not what you wrote, or at least not what I complained about. You wrote:

                  BUT earth will move with gM/m1

                  where it was previously established that m1 and M are masses, and I interpreted g to be G (Newton’s gravitational constant) instead of g as in “gravitational acceleration caused by earth” because… well, I’m not actually sure. The whole thing is already a mess of capitalisation but more importantly then it’d be acceleration, not movement, worse, the specific properties of the earth are included twice (once in g, then in one of the mass terms).

                  the fact that i wasted my time on low iq person like you

                  Maybe you should spend less time on insulting people and more on communicating your thoughts clearly.

                  • red
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                    18 days ago

                    deleted by creator

                  • red
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                    18 days ago

                    deleted by creator

                  • red
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                    18 days ago

                    tell me how gM/m1 is not acceleration, what even is your point omg