Variation in the Acceleration Due to Gravity with Altitude, Depth, Latitude and Shape

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At which place on the Earth’s surface is the gravitational acceleration minimum? Why?

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At what distance below the surface of the Earth, the acceleration due to gravity decreases by 10% of its value at the surface, given the radius of Earth is 6400 km.

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What is the variation in acceleration due to gravity with altitude?

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Show that acceleration due to gravity at height h above the Earth’s surface is `"g"_"h" = "g"("R"/"R + h")^2`

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Derive an expression for variation in gravitational acceleration of the Earth at with latitude.

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At which place on the Earth’s surface is the gravitational acceleration maximum? Why?

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Draw a graph showing the variation of gravitational acceleration due to the depth and altitude from the Earth’s surface.

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Obtain the formula for the acceleration due to gravity at the depth ‘d’ below the Earth’s surface.