The center of a moon of mass m is a distance D from the center of a planet of mass M. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.   (a)  Derive an expression for x.    (b)  If the net force is zero a distance 2/3 D from the planet, what is the ratio R of the mass of the planet to the mass of the moon, M/m?

Question

 The center of a moon of mass m is a distance D from the center of a planet of mass M. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.

 

(a)  Derive an expression for x

 

(b)  If the net force is zero a distance 2/3 D from the planet, what is the ratio R of the mass of the planet to the mass of the moon, M/m

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