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

yes the acceleration due to gravity changes as the ball comes down it decreases...

anonymous · Answer

Yes it changes because the force of gravity varies with distance. Recall 
$$F=GMm/r2$$From Newton's law we know that the force equals to mass time acceleration. If we divide both sides with m we get the graviational acceleration 
$$F/m=GM/r2$$Therefore as the ball descends it falls more rapidly.