document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #735463 by ikleyn(52946)\"\" \"About 
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document.write( "Let \"m\" and \"M\" be the two masses, \"m\" is the smaller, and \"M\" is the greater.\r\n" );
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document.write( "The gravity force acting between them is  F = \"G%2A%28%28m%2AM%29%2FR%5E2%29\".\r\n" );
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document.write( "The acceleration of the mass \"m\" is  \"a%5Bm%5D\" = \"F%2Fm\" = \"G%2A%28M%2FR%5E2%29\".\r\n" );
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document.write( "The acceleration of the mass \"M\" is  \"a%5BM%5D\" = \"F%2FM\" = \"G%2A%28m%2FR%5E2%29\".\r\n" );
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document.write( "We are given that  \"a%5Bm%5D\" = \"9%2Aa%5BM%5D\".\r\n" );
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document.write( "It implies  M = 9m.\r\n" );
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document.write( "Answer.  M = 9m.\r\n" );
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