The hand in Figure P15.80a holds a vertical blockspring system so that the spring is compressed. When the hand lets go, the block, of mass \(m\), descends a distance \(d\) in a time interval \(\Delta t\) before reversing direction (Figure P15.80b). Once the system comes to rest, the block is removed, a block of mass \(2 m\) is hung in its place, and the experiment is repeated. To what maximum distance does the block descend?

Data from Figure P15.80

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