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A block of wood with the dimensions 0.12 by 0.34 by 0.43 cubic meters floats along...

A block of wood with the dimensions 0.12 by 0.34 by 0.43 cubic meters floats along a river with the broadest face facing down. The wood is submerged to a height of 0.053 meters. What is the mass of the piece of wood? (10pts)
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Answer #1

Ans: The area of the block facing down is 0.34 x 0.43 = 0.1462 m2

Given that the block is submerged by a heigh 0.053 m

So, the volume of the block submerged is 0.1462 x 0.053 = 0.0077486 m3

Therefore, the mass of the water displaced is 0.0077486 x 1000 = 7.7486 kg

From Bouyancy law, the mass of the piece of wood is 7.7486 kg.

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