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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 383

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Short Answer

Rank in order, from largest to smallest, the densities of blocks a, b, and c in FIGURE Q14.6. Explain.

Density in descending order is ρa > ρc > ρb

See the step by step solution

Step by Step Solution

Step 1 : Given information

Given figure shows three blocks floating in liquid.

Step 2 : Explanation

We know that buoyant force acting on a mass floating in a liquid depends on density or object, submerged volume of object and gravity.

Lets assume three blocks are floating have Volume Va, Vb and Vc and density ρa, ρb and ρc

Then

So density depends on the ratio of submerged volume to the total volume.

From the figure we can see that

This means the densities are in the order

ρa > ρc > ρb

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