As the acceleration due to gravity varies with higher altitudes and varies with the depth and if the hole is digged in the earth with the length half the radius and a ball is projected from the earth with length equal to the radius of earth, will the acceleration due to gravity change??

Question

As the acceleration due to gravity varies with higher altitudes and varies with the depth and if the hole is digged in the earth with the length  half the radius and a ball is projected from the earth with   length equal to the radius of earth, will the acceleration due to gravity change??

anonymous · Answer

Where is the ball projected? If it is from the surface of the earth (length equal to the radius of earth) than I don't see how that hole would affect the acceleration.

anonymous · Answer

it is projected above the earth which is equal to the radius of earth

anonymous · Answer

|dw:1326733513177:dw| Like so? If yes, then the acceleration of the object will change with distance of the object to the center of earth: $$\ g= -\frac{GM}{r^2} r^\rightarrow$$Where G-gravitational constant; M-mass of the earth, r-distance from the object to the center  of earth; r with and arrow - unit vecor.

What I find confusing is that hole, I don't see the point of it in this question. Hope this helps.

anonymous · Answer

ah, and g - gravitational acceleration