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Gravitational Work Inside a Spherical Shell

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A particle of mass m is displaced from the center of a uniform spherical shell of mass M and radius R to a point just inside the shell’s inner surface. What is the work done by the shell’s gravitational force on the particle during this displacement?

A

Zero work is done

B

Work depends on the path taken

C

Positive work equal to GMm/R

D

Negative work equal to -GMm/R

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