A bullet is fired at a speed of \(30\text{ m/s}\). It embeds itself in a block with mass \(1\text{ kg}\) hanging from a string. Mass of the bullet is \(20\text{ g}\). Find the maximum height (in \(\text{m}\)) achieved by the block (with the bullet embedded).

Assume that \(g=10\text{ m/s}\) and the initial height of the block is \(0\text{ m} \).

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