Question

acceleration due to gravity may vary with altitude and depth a) arrive at an expression for acceleration due to gravity at a height h above the surface. b) At what height a the value of g will be half of that on the surface of the earth​

Answer 1

Answer:

a )

Formula used:

gh = g (1−2hR) , gd = g (1−dR) where g is called gravity, h is the height of an object above earth's surface, d is depth taken inside earth's surface and R is radius of earth.

b)

If we use 6,371 km as Earth's radius, the distance above the surface where gravitational acceleration is halved would be 2,639 km. Note: Gravitational acceleration is an object's free fall motion under space — with no friction.

Hope you understood!!