Halliday, Resnick & Walker — Gravitation: Problem Problem_13

Figure 13.18 shows a spherical hollow inside a lead sphere of radius \(R = 4.00 \text{ cm}\); the surface of the hollow passes through the center of the sphere and "touches" the right side of the sphere. The mass of the sphere before hollowing was \(M = 2.95 \text{ kg}\). With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass \(m = 0.431 \text{ kg}\) that lies at a distance \(d = 9.00 \text{ cm}\) from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?