Two concentric spherical shells with uniformly distributed masses M1 = 697 kg and M2 = 669 kg are situated as shown in Fig. 13-40. Find the magnitude of the net gravitational force on a particle of mass m = 28 kg, due to the shells, when the particle is located at radial distance (a) a = 33 m, (b) b = 20 m, and (c) c = 6.6 m.
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This question cannot be answered without the figure, but it may help you to note that the concentric spherical shells can simply be treated as point masses (ignore the fact that they are spheres) as long as mass m is not located inside either sphere.