is the ecceleration deu to gravity "g" same everywhere on surface of the earth explain how "g" varies with altitude and latitude
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The value of g at all place is not the same, it varies. The value of g is more at the poles and less at the equator. Hence on the basis of altitude the value of g changes.
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Variation of g with altitude, depth and latitude
Consider an object of mass m at a height h from the surface of the Earth. Acceleration experienced by the object due to Earth is
g'=GM'/(Re-d)
Variation of g with depth:
Consider a particle of mass m which is in a deep mine on the Earth. (Example: coal mines in Neyveli). Assume the depth of the mine as d. To calculate g′ at a depth d, consider the following points.
The part of the Earth which is above the radius (Re − d) do not contribute to the acceleration. The result is proved earlier and is given as
Here M ’ is the mass of the Earth of radius (Re-d).
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