Yes Ofcourse as per the question it clearly seems it will.What is your force balance on each of the masses at some arbitrary time?
This answer doesn't seem to relate to my question at all. Please write down for us the force balance equations you derived to solve this problem.Yes Ofcourse as per the question it clearly seems it will.
But please don't say it will be the maximum elongation when force balances cause it will not.
Have you considered changing to a frame of reference where the center of mass is at rest?Idont know how to find the answer then as both masses won't stop consecutively