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Chapter 14: Q. 6 (page 383)

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


Short Answer

Expert verified

Density in descending order is 蚁a> 蚁c > 蚁b

Step by step solution

01

Given information

Given figure shows three blocks floating in liquid.

02

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.

Fbuoyant=Vs蚁g

Lets assume three blocks are floating have Volume Va, Vb and Vcand density 蚁a, 蚁band 蚁c

Then

Vsa蚁g=Va蚁ag鈬�蚁a=VsaVa蚁Vsb蚁g=Vb蚁bg鈬�蚁b=VsbVb蚁Vsc蚁g=Vc蚁cg鈬�蚁c=Vs-cVc蚁

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

From the figure we can see that

VS-aVa>VS-cVc>VS-bVb

This means the densities are in the order

蚁a> 蚁c > 蚁b

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