Max Height of 2kg Object in Newton Law Problem

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In a physics problem involving two objects with masses of 5kg and 2kg hanging from a cord over a frictionless pulley, the goal is to determine the maximum height reached by the 2kg object. The initial height of both objects is 0.6m above the floor, and the heavier block's descent causes the lighter block to rise. The calculations suggest that the maximum height of the 2kg object should be around 1.2m, based on the assumption that it rises the same distance the heavier block falls. However, some calculations indicate a maximum height closer to 1.4m, leading to confusion about the correct answer. The discussion highlights potential discrepancies in the problem setup or answer key.
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1. "two objects with masses 5kg and 2kg hang .6 m above the floor from the ends of a cord 6m long passing over a frictionless pulley. Both objects start from rest. Find the maximum height reached by the 2kg object.


Homework Equations



Newton's laws.
Kinematic equations.

The Attempt at a Solution



The answer is around 1.4 but I keep thinking its 1.2m.
My thinking is that the heavier block will fall .6m causing the rope to pull on the lighter block raising it .6m and making the total height of that block .6m + .6m = 1.2m ... I don't know what else to try I tried solving for a and using kinematics but I just got 1.19 which is basically the same thing.
 
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As far as I can see the answer should be 1.2 m . Are you sure you have written down the question properly ?
 
yes I am sure maybe a typo in the answers?
 
Must be a typo .
 

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