Question

Derive the relation for acceleration for the gravity (a) Height (b) Depth ​

Answer 1

Answer:

Important Conclusions on Acceleration due to Gravity :

For an object placed at a height h, the acceleration due to gravity is less as compared to that placed on the surface. As depth increases, the value of acceleration due to gravity (g) falls. The value of g is more at poles and less at the equator.

Answer 2

Answer:

a) Formula of Acceleration due to Gravity

G = universal gravitational constant (6.67×10-11 Nm2/kg2) m = mass of the object, M = mass of the earth, ... h = height at which the body is from the surface of the earth.

Values of g in SI: 9.806 ms-2

Formula: g = GM/r2

SI Unit: ms-2

Values of g in CGS: 980 cm s-2

b) If we go deeper, g decreases. ... During the derivation of the formula for the variation of g with depth we found that g' = g(1- d/R), where, d is the depth of the object from the surface, R is the radius of the earth and g is the acceleration due to gravity at the surface

Explanation:

hope it helps you!!