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# Archimedes' principle applied to a floating block in turpentine gives density of liquid.

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Archimedes' principle applied to a floating block in turpentine gives density of liquid. The same block, held stationary submerged by a metal block.

A block whose mass is Mb= 5.22 kg and density Db= 870 kg/m^3 floats in turpentine whose density is Dt with .004 m^3 of the block submerged.

PART a. find the density of the turpentine.
PART b. Find the minimum mass of an aluminum block which will, when tied to the unknown block, hold both blocks submerged and statiionary.

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The solution provides a step by step explanation of the problem complete with attached graphics.

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See attachment #1 for a diagrams with forces shown.

PART a. From 'net vertical force = 0'; when floating, the buoyant force must equal the force of gravity on the block. This is expressed ...

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