SOLUTION: Two objects released from rest in a region of space where there is no net external gravitational force, accelerate toward each other. If one object (object one) accelerates 9 times
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Question 1119837: Two objects released from rest in a region of space where there is no net external gravitational force, accelerate toward each other. If one object (object one) accelerates 9 times as much as the other (object two), then specifically how do their masses differ? Answer by ikleyn(52933) (Show Source):
Let "m" and "M" be the two masses, "m" is the smaller, and "M" is the greater.
The gravity force acting between them is F = .
The acceleration of the mass "m" is = = .
The acceleration of the mass "M" is = = .
We are given that = .
It implies M = 9m.
Answer. M = 9m.
