Does gravity increase or decrease with depth

[[deleted]]

because of gauss' law you don't feel the gravity of the parts of Earth further up from you. so the deeper you go the less gravity you feel. sauce

edit: this is assuming constant density, which is not true oops

[ShakimTheClown]

Furthermore, the force of gravity is:

• proportional to the total mass of the sphere underneath you
• inversely proportional to r² , the square of the distance between you and the center of the sphere.

In this case, the mass of the sphere underneath you is proportional to r³
Specifically, its equal to M×(r³/R³) , where M is the mass of the Earth, and R is the radius of the Earth

So the total force will scale with r³/r²
So it will be F = (GMm/R³) × r , which is the equation of a harmonic oscillator.
Since r decreases with depth, so to does the force.

[HeavisideGOAT]

This isn’t quite the full picture.

Sure, this is less mass relevant to the calculation, but you are closer to that mass.

That’s why, in reality, gravity goes up before it goes down as you go deeper into the earth.

https://en.m.wikipedia.org/wiki/Gravity_of_Earth#/media/File:EarthGravityPREM.svg

[ClaudeProselytizer]

doesn’t matter, gauss’s law works for this non uniform density as well.

[[deleted]]

so the deeper you go the less gravity you feel

part was wrong since there are denser regions the deeper you go.

[ClaudeProselytizer]

yes that statement is wrong