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## Main Question or Discussion Point

Hello, I understand that the gravitational force is given by F=G*M1*M2/d^2, and that if an object is more massive, it feels more gravitational force toward the Earth, but also accelerates less due to F=M*A, which cancels out. My question is not why bodies of different weights fall at the same acceleration.

My question is: When the object gets closer to the Earth's core, shouldn't the force change inversely proportional to the distance, causing the force to increase? If so, then why would the object still accelerate at the same rate toward the Earth's core (the force is increasing, but the object has the same amount of mass)? Thank you in advance.

My question is: When the object gets closer to the Earth's core, shouldn't the force change inversely proportional to the distance, causing the force to increase? If so, then why would the object still accelerate at the same rate toward the Earth's core (the force is increasing, but the object has the same amount of mass)? Thank you in advance.