You are not a point mass. The amount of your and her flesh that’s this close is a miniscule fraction of the total weight, no matter how close you cuddle, and this fraction gets squared because there are 2 bodies. (It’s an integral over two volumes – in layman’s terms, an atom in your hand feels strong (for an atom) attraction to an atom on her hand, but not her head even if your heads also touch.)
Spherical objects can be simplified to point masses when calculating gravity. But the center of mass can be outside your body when you bend over and two people can therefore reduce the distance of their centers of masses to 0. However, this will not result in infinite attractive force (that could get Cirque de Soleil performers stuck bent over each other), similarly: pouring a liquid without adhesion or surface tension on a giant donut-shaped object in space would not result in it accumulating in a sphere in the center, the donut would get covered in it.
You read nothing of this, did you? The fraction of the human body that’s 1 mm below the surface is small, and the fraction of the other body that’s 1 mm away from any single point is even smaller, and the two get multiplied for an insignificant fraction of the total mass. Come back when you understand what ∰ means, or at least read my other comment about people bent over to share a center of mass.
An r of 1.3mm or less will make it so you are more attractive than the moon!
You are not a point mass. The amount of your and her flesh that’s this close is a miniscule fraction of the total weight, no matter how close you cuddle, and this fraction gets squared because there are 2 bodies. (It’s an integral over two volumes – in layman’s terms, an atom in your hand feels strong (for an atom) attraction to an atom on her hand, but not her head even if your heads also touch.)
I learned three things in physics:
B) Cows can be assumed to be spherical
III) Everything exists as a point mass. The Earth is a point mass, electrons are point masses, the aforementioned spherical cows are point masses…
Spherical objects can be simplified to point masses when calculating gravity. But the center of mass can be outside your body when you bend over and two people can therefore reduce the distance of their centers of masses to 0. However, this will not result in infinite attractive force (that could get Cirque de Soleil performers stuck bent over each other), similarly: pouring a liquid without adhesion or surface tension on a giant donut-shaped object in space would not result in it accumulating in a sphere in the center, the donut would get covered in it.
In other words, if you’re really deep inside her, her attraction to you will be stronger than to the moon.
Giggity 😏
You read nothing of this, did you? The fraction of the human body that’s 1 mm below the surface is small, and the fraction of the other body that’s 1 mm away from any single point is even smaller, and the two get multiplied for an insignificant fraction of the total mass. Come back when you understand what ∰ means, or at least read my other comment about people bent over to share a center of mass.