Five small sphere each with a mass of 23 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 and the center of the pentagon, and one of the spheres is located along the x-axis 11 m away from the origin. See figure below. P y

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Five small sphere each with a mass of 23 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 and the center of
the pentagon, and one of the spheres is located along the x-axis 11 m away from the origin. See figure below.
X
9z
Z
P
y
Find the z component of the gravitational field due to these five point masses at a point P on the z axis a distance of 6 m away from the origin.
Use G = 6.673E-11 kg*m^2/s^2.
Transcribed Image Text:Five small sphere each with a mass of 23 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 and the center of the pentagon, and one of the spheres is located along the x-axis 11 m away from the origin. See figure below. X 9z Z P y Find the z component of the gravitational field due to these five point masses at a point P on the z axis a distance of 6 m away from the origin. Use G = 6.673E-11 kg*m^2/s^2.
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