will the value of g be affected by the radius of the earth? consider the real shape of the earth. compare the acceleration due to gravity for the freely falling object in the poles of the earth and other regions.

Yes, the value of g affected by the radius.

Explanation:

The formula for the force of gravity of 2 objects is

, where m1 and m2 are the masses of the 2 objects, r is the radius, and G is the gravitational constant, which is approximately .

Therefore, as the radius if bigger, the force of gravity is going to be smaller exponentially.