As a moon follows its orbit around a planet, the maximumgravitational force exer

Question

As a moon follows its orbit around a planet, the maximumgravitational force exerted on the moon by the planet exceeds theminimum gravitational force by 11%. Find theratio rmax/rmin,where rmax is the moon's maximumdistance from the center of the planetand rmin is the minimumdistance.

I'm not surehow to approach this problem. This problem falls under thegravitational force section of our textbook, but I'm not sure how Ican determine rmax or rmin with just the 11% info. How do Irelate rmax or rmin to F=G (m1m2)/r**2? Any help would bemuch appreciated. I'm not surehow to approach this problem. This problem falls under thegravitational force section of our textbook, but I'm not sure how Ican determine rmax or rmin with just the 11% info. How do Irelate rmax or rmin to F=G (m1m2)/r**2? Any help would bemuch appreciated.

Explanation / Answer

We know that                F 1 / r2 Therefore                 rmax / rmin = (Fmin /Fmax) = (1 / 0.11) = 9.09 =3.01

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