Comment on your mom falls significantly faster than g

• barsoap@lemm.ee ⁨3⁩ ⁨weeks⁩ 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 lower 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 mass units 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.

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  • red@lemmy.zip ⁨3⁩ ⁨weeks⁩ 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 feather 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

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    • barsoap@lemm.ee ⁨3⁩ ⁨weeks⁩ 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.

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      • red@lemmy.zip ⁨3⁩ ⁨weeks⁩ 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

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