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

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(52939) (Show Source): You can put this solution on YOUR website!
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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.

Solved.

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