physics, rotational motion, gravitation, question is in description

Question

Consider an apple at the top of a tree that is pulled by Earth’s gravity with a force of 1 N. If the tree were twice as tall, would the force of gravity be only ¼ as strong? Defend your answer.

Answer 1

Absolutely not! F_g = Gm₁m_{2 / R}² ; where R represents the distance between the center of mass of two objects, in this case the center of the earth & tree, so if the height of the tree doubled that added distance would statistically be INSIGNIFICANT, so wouldn’t measurably alter the gravitational force.