
William W. answered 09/15/19
Experienced Tutor and Retired Engineer
To understand this problem, you must know and use Newton's law of universal gravitation:
Fgravity = Gm1m2/d2 where Fgravity = the forces of gravity, G = the universal gravitation constant which is 6.673 x 10-11 N m2/kg2, m1 is mass 1, m2 is mass 2, and d is the distance between the masses m1 and m2.
Notice that the d is in the denominator so when d increases, the Fgravity, goes down. Since d is squared, then as d increases, Fgravity goes down by the square of the d. Since d is increasing by 3 times, Fgravity will go down by 32 times or 9 times. So 99/9 = 11 N.