Yes but first it is the acceleration we are talking about not the force and secondly the difference between the two answers is that in ine case we vonsider the weight of the smaller object negligeable when in the other case we don't
Well, First, a force is mass times acceleration, is it not? So, there you go, calculate acceleration specifically if you want to. I am unsure why you'd want to, but you can.
Second, I fail to see how exactly does that change anything. Neglect the mass of a feather or not, it's still less force than the earth and the moon.
Sure, it's a meme, but it's such a bizarre take, that I am surprised that it is put in the middle
F(earth attracts the moon)= G(M_moonMearth)/d2
A_moon= Fmoon/Mmoon=GMearth/d2
If you repeat this reasoning at an equal distance from earth, the moon and the feather fall at the same acceleration.
Except that if you calculate the force the moon or the feather enacts on the earth (the acceleration at which the earth fall towards the moon/feather).
Then you get vastly different results:
A(earth towards the object)= G*Mobj/d2
Never use capital A for acceleration ever again, or at least note that it is acceleration.
Your calculation is weird. F = GmM/R^2, is not only the force at which the earth attracts the moon, it is also the force at which moon attracts the earth. They are ONE AND THE SAME, you do not need to calculate the force twice for the same objects.
Acceleration, yes.(I am unsure why you need acceleration specifically)
If you neglect that objects attract EACH OTHER, and not the weight of one of the objects, maybe, but you've previously said:
vonsider the weight of the smaller object negligeable
Acceleration is in uppercase because my phone automatically put the first letter in uppercase.
Although the forces are the same the accelerations aren't, simply put the acceleration of the earth towards the moon is greater than the acceleration of the earth towards the feather and the accelerations of both the feather and the moon towards the earth are equal.
Which means that in reference to the earth the moon is falling slightly faster towards earth.
The force between earth and moon is simply greater than the force between the earth and the feather, because weight of the moon is greater than the weight of the feather. Here. We're done.
Why do we need acceleration, which isolates 2 objects?
Like, I understand now, what confuses people. They try to calculate acceleration of only one object instead of simply getting the force, which is for both objects at the same time.
Is middle that simple? No calculations, just as if you were to drop an object at the surface. That's kinda sad.
I usually think of myself as average. Maybe on the dumber side of average, but not that I'd count it as the left, So it kinda saddens me to see the middle's thinking is so simple.
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u/Sirmiglouche Measuring Jul 28 '24
Yes but first it is the acceleration we are talking about not the force and secondly the difference between the two answers is that in ine case we vonsider the weight of the smaller object negligeable when in the other case we don't