On the way from a planet to a moon, astronauts reach a point where that moon\'s

Question

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, 5.6 x 10^24 kg and 7.36 x 10^22 kg. The distance from the center of the planet to the center of the moon is 3.64 x 10^8 m. Determine the distane of this point from the center of the planet. The value of the universal gravitational constan is 6.67259 x 10^-11 Nm^2/kg^2. Answer in units of m.

Explanation / Answer

gravitational pull depends on mass and distance when the gravitational pull is same the distance from planet is given by 5.6*100/r*r=7.36/(3.64*10^8-r)^2 r=3.26*10^8 meters

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