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

Discuss the variation of acceleration due to gravity with altitude.

Define escape speed. Derive an expression for the escape speed of an object from the surface of the each.

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

A body weight $5.6$ kgwt on the surface of the earth, How much will be its the weight on a planet whose mass is $1/7$th mass of the earth and radius twice that of the earth's radius

At what distance below the surface of the earth, the acceleration due to gravity decreases by $10\%$ of it's value at the surface, given radius of earth is 6400 km.