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Consider the ring-shaped body of Fig. particle with mass is placed a distance from the center of the ring, along the line through the center of the ring and perpendicular to its plane. (a) Calculate the gravitational potential energy of this system. Take the potential energy to be zero when the two objects are far apart. (b) Show that your answer to part (a) reduces to the expected result when is much larger than the radius of the ring. ( c) Use to find the magnitude and direction of the force on the particle (see Section 7.4 (d) Show that your answer to part (c) reduces to the expected result when is much larger than (e) What are the values of and when Explain why these results make sense.