A uniform sphere has mass M and radius r . A spherical cavity (no mass) of radius r / 2 is then carved within this sphere as shown in Fig. 32 (the cavity's surface passes through the sphere's center and just touches the sphere's outer surface). The centers of the original sphere and the cavity lie on a straight line, which defines the x axis. With what gravitational force will the hollowed-out sphere attract a point mass m which lies on the x axis a distance d from the sphere's center? [Hint: Su
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