On the way from a planet to a moon astronauts reach a point, Ask an Expert

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On the way from a planet to a moon, astronauts reach a point where that moon's gravitational pull transitions from being weaker than that of the planet to being stronger than that of the planet. The masses of the planet and the moon are, respectively, 5.76 × 10^24 kg and 7.36 × 10^22 kg. The distance from the center of the planet to the center of the moon is 3.69 × 10^8 m. Determine the distance of this point from the center of the planet. The value of the universal gravitational constant is 6.67259 ×10^?11 N·m2 /kg^2.

Answer in units of m

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