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Newton's Law of Universal Gravitation

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Imagine a line drawn from the center of the earth to the center of the moon. At some point on this line the magnitude of the gravitational attraction of the moon on a space vehicle would be equal to the magnitude of the earth's gravitational attraction on the vehicle. If the distance from the earth to the moon is about 4.0 x 10^5 km and the mass of the moon is about 1/80 that of the earth, at what distance from the earth's center will the resultant force acting on the space vehicle be zero?

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The expert examines Newton's law of Universal Gravitation.