The figure shows a spherical hollow inside a lead sphere of radius R = 4.8 m; 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 = 255 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 10 kg that lies at a distance d = 13 m from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.