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 = 8 m, find the gravitational field of the distribution at a point (P), on the x-axis, located at a distance of 2h, measured with respect to the center of the sphere.

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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 = 8 m, find the gravitational field of the distribution at a point (P), on the x-axis, located at a distance of 2h, measured with respect to the center of the sphere.
 
 
 
 
 
 
 
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