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In an immersion measurement of a woman’s density, she is

Chapter 11, Problem 43

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QUESTION:

Problem 43PE

In an immersion measurement of a woman’s density, she is found to have a mass of 62.0 kg in air and an apparent mass of 0.0850 kg when completely submerged with lungs empty. (a) What mass of water does she displace? (b) What is her volume? (c) Calculate her density. (d) If her lung capacity is 1.75 L, is she able to float without treading water with her lungs filled with air?

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QUESTION:

Problem 43PE

In an immersion measurement of a woman’s density, she is found to have a mass of 62.0 kg in air and an apparent mass of 0.0850 kg when completely submerged with lungs empty. (a) What mass of water does she displace? (b) What is her volume? (c) Calculate her density. (d) If her lung capacity is 1.75 L, is she able to float without treading water with her lungs filled with air?

ANSWER:

a.)

Step 1 of 5

The mass of water displaced by the women can be determined by Archimedes principle which states that “ the buoyant force on an object equals the weight of the fluid it displaces”. So, mass of the water displaced equals the apparent mass loss of the women.

 

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