Discover Maximum Height of 2.40kg Object in Pulley System

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The discussion focuses on the dynamics of a pulley system involving two masses: 6.00 kg and 2.40 kg. The initial height of both masses is 0.500 m above the floor. Upon release, the 6.00 kg mass descends, causing the 2.40 kg mass to ascend. The maximum height reached by the 2.40 kg mass exceeds the initial height due to the upward velocity gained when the heavier mass hits the ground, confirming that the maximum height is greater than 0.500 m.

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Two objects with masses 6.00 kg and 2.40 kg hang 0.500 m above the floor from the ends of a cord 5.30m mlong passing over a frictionless pulley. Both objects start from rest.

Find the maximum height reached by the 2.40kg object.
 
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this question doesn't make sense. since both weights are at the same height above the floor. when its released, the objects will move in the direction of the force provided by the 6kg weight. so the 6 kg mass will hit the ground and the 2.4kg mass will be pulled up. since the height is 0.5m initially, isn't the maximum height 0.5m?

need help!
 
No. The 2.4 kg mass has some upward velocity when the heavier mass hits the ground. It will rise further like a stone thrown up.

ehild
 

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