(a) Compute the vector gravitational field at a point P on

Chapter 13, Problem 14

(choose chapter or problem)

(a) Compute the vector gravitational field at a point P on the perpendicular bisector of the line joining two objects of equal mass separated by a distance 2a as shown in Figure P13.14. (b) Explain physically why the field should approach zero as r S 0. (c) Prove mathematically that the answer to part (a) behaves in this way. (d) Explain physically why the magnitude of the field should approach 2GM/r 2 as r S `. (e) Prove mathematically that the answer to part (a) behaves correctly in this limit

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