Walker, Halliday & Resnick — Gravitation: Problem 6

6 Two concentric spherical shells with uniformly distributed masses \(M_1 = 5.00 \times 10^3 \text{ kg}\) and \(M_2 = 9.00 \times 10^3 \text{ kg}\) are situated as shown in Fig. 13-22. Find the magnitude of the net gravitational force on a particle of mass \(m = 2.00 \text{ kg}\) due to the shells, when the particle is located at radial distance (a) \(a = 11.0 \text{ m}\), (b) \(b = 6.00 \text{ m}\), and (c) \(c = 2.00 \text{ m}\).