Two identical spherical hollows are made in a lead sphere of radius R. The hollows have a

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Two identical spherical hollows are made in a lead sphere of radius R. The hollows have a radius R/2. They touch the outside surface of the sphere and its center as in Figure. The mass of the lead sphere before hollowing was M.

(a) Find the force of attraction of a small sphere of mass m to the lead sphere at the position shown in the figure.

(b) What is the attractive force if m is located right at the surface of the lead sphere?

d

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