A (2.0 times 10^{9}-mathrm{kg}) sphere is at the origin, and a second (5.0 times 10^{9}-mathrm{kg}) sphere is
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A \(2.0 \times 10^{9}-\mathrm{kg}\) sphere is at the origin, and a second \(5.0 \times 10^{9}-\mathrm{kg}\) sphere is on the \(x\)-axis at \(x=8.0 \mathrm{~km}\). Find the magnitude and direction of the net gravitational attraction force that the two spheres would exert on a third sphere of mass \(9.1 \times 10^{3} \mathrm{~kg}\) placed at \(x=2.0 \mathrm{~km}\).
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