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Gravitational Force Inside a Spherical Shell

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A particle of mass m is located at a distance r from the center of a uniform spherical shell with mass M, inner radius R₁, and outer radius R₂. For the case where R₁ < r < R₂, the gravitational force exerted on the particle is proportional to:

A

The mass enclosed between radii R₁ and r

B

M/r²

C

(M/R₂³)(r - R₁³/r²)

D

Mr/R₂³

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