Final answer:
The physics problem requires additional information or correction to calculate the separation between two bowling balls based on the gravitational force, as the formula for gravitational attraction depends on both masses and the distance between them, which is not sufficiently provided.
Step-by-step explanation:
The question pertains to the gravitational force between two bowling balls and is a physics problem at the high school level.
The provided force of gravity acting on each bowling ball of 3.1 x 103 N suggests that the question might be missing information or posed incorrectly, as typically this force would be calculated using the masses of the two objects and the universal gravitational constant (G = 6.674 x 10-11 N·m²/kg²).
Normally, to find the gravitational force between two objects, the formula F = G(M1M2)/r2 is used, where F is the force of gravity, M1 and M2 are the masses of the objects, and r is the separation between the centers of the two masses.
However, without the correct distance (r) between the balls, we cannot determine the force and therefore cannot use the information given to calculate the separation.
If the force of gravity provided was correctly calculated based on a known separation, that separation could be used to answer the question, but with the details given, it is not possible.
Your correct question is: A 6.1 kilogram bowling ball and a 7.2 kilogram bowling ball rest on a rack. If the force of gravity pulling each of the bowling balls toward the center is 3.1x10N, what is the separation in meters between these two objects? Use g = 6.67x10-9 Nm/kg.