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Gravitational Force of a Sphere with a Cavity
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A uniform solid sphere of radius R and density ρ has a small spherical cavity of radius R/2 carved out, with the cavity’s center at distance R/2 from the sphere’s center. At what distance from the original sphere’s center would a test mass experience zero net gravitational force?

A

At distance R from the center of the original sphere

B

At the center of the cavity

C

At no point is the net force zero

D

At the center of the original sphere

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