On the way from a planet to a moon, astro- nauts reach a point where that moon's grav- itational 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, 6.09 × 1024 kg and 7.36 x 1022 kg. The distance from the center of the planet to the center of the moon is 3.3 x 108 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/kg². Answer in units of m.
On the way from a planet to a moon, astro- nauts reach a point where that moon's grav- itational 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, 6.09 × 1024 kg and 7.36 x 1022 kg. The distance from the center of the planet to the center of the moon is 3.3 x 108 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/kg². Answer in units of m.
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