Step 1:

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The mass of the block is $\"\"$ .

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The mass of the bullet is $\"\"$ .

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The initial speed of the bullet is $\"\"$ .

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The acceleration of gravity is $\"\"$ . The combined mass of the block with bullet is: $\"\"$ .

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$\"\"$ ,,, \ \ $\"\"$

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$\"\"$ . By conservation of momentum, you can find the speed of the combined mass just after impact of the bullet.

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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The kinetic energy of the combined mass just after impact is: $\"\"$ .

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$\"\"$

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$\"\"$ . The maximum height the combined mass will rise into the air is: $\"\"$ . $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The block rise into the air after the bullet becomes embedded is $\"\"$ .