Consider a hollow sphere of radii h and 3h, interior and exterior respectively. The mass density in the sphere is ρ = k / r, Kg / m³, where k is a constant, and r is the distance from the center of...

Consider a hollow sphere of radii

h

and

3h
, interior and exterior respectively. The mass density in the sphere is

ρ = k / r, Kg / m³
, where

k

is a constant, and r is the distance from the center of the sphere to an arbitrary point within it. If

k

= 3 m, find the gravitational field of the distribution at a point (
P
), on the x-axis, located at a distance of

4h
, measured with respect to the center of the sphere. Ans: 5.655e-10