Question
If acceleration due to gravity at the surface of the earth is g then what is its value at depth d?
Solution
Let the earth be a homogeneous sphere of radius R with density ρ.
The acceleration due to gravity at surface of the earth g is,
Let, at deptg 'd' the acceleration due to gravity be gd.
At a depth d, the gravity is only due to the mass of inner sphere of radius R-d.
Therefore,
=
The acceleration due to gravity at surface of the earth g is,
Let, at deptg 'd' the acceleration due to gravity be gd.
At a depth d, the gravity is only due to the mass of inner sphere of radius R-d.
Therefore,
=
