Gravitational field strength of 0

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SUMMARY

The discussion focuses on calculating the point along the line joining a planet and its moon where the net gravitational field strength is zero. Given a planet with a mass of 1.88x1021 kg and a moon with a mass of 4.56x1019 kg, and a distance of 3.94x108 m between their centers, the gravitational field strengths can be expressed using the formula Fg = GMm/r2. The solution involves setting the gravitational forces equal to each other and solving for the distance (x) from the planet where the net field strength is zero.

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Homework Statement


A planet of mass 1.88x10^21 kg has a moon of mass 4.56^10^19 kg. The distance between their centers is 3.94x10^8 m. How far from the center of the planet (along the line joining the planet and the moon) is the net gravitational field strength, due to the two bodies, equal to 0?

Homework Equations


Fg = GMm/r^2


The Attempt at a Solution



GMm/r^2 - GMm/r^2 = 0.

Somewhere in there I'm thinking I can put in the point (x) but I have no idea where or how to approach this.
 
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If d is the distance between the planet and the moon, and the x is the distance at which the field is zero from the planet, then the distance from the moon to that point is (d - x).
 

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