The value of the acceleration due to gravity (g) at the center of the Earth is zero. This occurs because at the Earth's center, the gravitational forces exerted by the surrounding mass in all directions cancel each other out, resulting in no net gravitational pull. Additionally, as one moves toward the center, the effective mass contributing to gravity decreases linearly with depth, and at the very center, this effective mass is zero, making the gravitational acceleration zero as well

. In summary:

• At the Earth's surface, g is approximately 9.8 m/s².
• Moving toward the center, g decreases linearly due to the decreasing effective mass.
• At the center of the Earth, g = 0 m/s² because gravitational forces balance out symmetrically in all directions