Question 1182160
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(a)  If the new separation distance is  {{{1/3}}}  of the previous distance, new gravitation force is 9 times of that in previous case.



(b)  If the new separation distance is  3 times  the previous distance, new gravitation force is  {{{1/9}}}  of that in previous case.



These facts are the simple and direct consequences of the Newton's gravity law.
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Solved, &nbsp;answered and explained.



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On Newton's gravity law see and read from these sources


https://courses.lumenlearning.com/boundless-physics/chapter/newtons-law-of-universal-gravitation/


https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation



Happy learning &nbsp;(&nbsp;!&nbsp;)