No, the value of g is not the same everywhere on the surface of the earth as the shape of the earth is not exactly spherical.The distance of a point on the surface of the earth from its centre varies somewhat from place to place. Due to its rotation, the earth bulges at the equator and is flatter at the poles. Its radius is largest at the equator and smaller at the poles. The value of g is thus the highest (9.832 m/s2) at the poles and decreases slowly with decreasing latitude. It is lowest (9.78 m/s2) at the equator.
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