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(a) What is the density of a woman who floats in

Chapter 11, Problem 46

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QUESTION:

Problem 46PE

(a) What is the density of a woman who floats in freshwater with 4.00% of her volume above the surface? This could be measured by placing her in a tank with marks on the side to measure how much water she displaces when floating and when held under water (briefly). (b) What percent of her volume is above the surface when she floats in seawater?

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QUESTION:

Problem 46PE

(a) What is the density of a woman who floats in freshwater with 4.00% of her volume above the surface? This could be measured by placing her in a tank with marks on the side to measure how much water she displaces when floating and when held under water (briefly). (b) What percent of her volume is above the surface when she floats in seawater?

ANSWER:

Solution 46PE

We are required to calculate the density of the woman from the given data. By calculating the fraction of her body submerged, we can calculate the density. If a body is submerged in a fluid, the fraction of the submerged body has to be multiplied with the fluid’s density to calculate the density of the body.

Part a

Step 1 of 3

Given data:

The volume of her body above the water surface is

The volume of her body below the water surface is

                                                                                 

                                                                                 

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