Five small spheres each with a mass of 48 kg are attached to the vertices of a pentagon. A set of coordinate axes are chosen such that the pentagon lies in the x,y plane with the origin at the center of the pentagon, and one of the spheres is located along the x axis 8 meters from the origin. See figure below. Find the z component of the gravitational field due to these five point masses at a point P on the z axis a distance 6 meters from the origin. Use G = 6.673E-11 N m2/kg2.

Five small spheres each with a mass of 48 kg are attached to the vertices of a pentagon. A set of coordinate axes are chosen such that the pentagon lies in the x,y plane with the origin at the center of the pentagon, and one of the spheres is located along the x axis 8 meters from the origin. See figure below. Find the z component of the gravitational field due to these five point masses at a point P on the z axis a distance 6 meters from the origin. Use G = 6.673E-11 N m2/kg2.

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