Discover Maximum Height of 2.40kg Object in Pulley System

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In a pulley system with a 6.00 kg mass and a 2.40 kg mass, both objects initially hang 0.500 m above the floor. When released, the heavier mass descends, causing the lighter mass to ascend. The discussion clarifies that the 2.40 kg mass will continue to rise after the 6 kg mass hits the ground due to its upward velocity. This means the maximum height reached by the 2.40 kg object exceeds the initial 0.5 m. The key point is that the upward motion continues beyond the initial height due to momentum.
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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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