Why the value of g is different in different places?
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G is the Universal Constant for Gravity. As that name implies, G is in fact the same anywhere in the Universe. On the other hand, g (“acceleration due to Gravity”) varies from place to place. ... This is because the earth's radius is greater at the equator compared to the poles.
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The variation in apparent gravitational acceleration (g) at different locations on Earth is caused by two things (as you implied). First, the Earth is not a perfect sphere—it's slightly flattened at the poles and bulges out near the equator, so points near the equator are farther from the center of mass
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