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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 12 / Problem 97CP

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Suppose a piece of styrofoam, ? = 180 kg/m3, is held

Chapter 12, Problem 97CP

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QUESTION:

Suppose a piece of styrofoam, \(\rho=180 \mathrm{~kg} / \mathrm{m}^{3}\) , is held completely submerged in water (Fig. P12.97). (a) What is the tension in the cord? Find this using Archimedes’s principle. (b) Use \(p=p_{0}+\rho g h\) to calculate directly the force exerted by the water on the two sloped sides and the bottom of the styrofoam; then show that the vector sum of these forces is the buoyant force.

Equation Transcription:

$\rho{}=180\ kg/{m}^{3}$

$p={p}_{0}+\rho{}gh$

Text Transcription:

rho =180 kg/m^3

p=p_0+rho gh

Questions & Answers

QUESTION:

Suppose a piece of styrofoam, \(\rho=180 \mathrm{~kg} / \mathrm{m}^{3}\) , is held completely submerged in water (Fig. P12.97). (a) What is the tension in the cord? Find this using Archimedes’s principle. (b) Use \(p=p_{0}+\rho g h\) to calculate directly the force exerted by the water on the two sloped sides and the bottom of the styrofoam; then show that the vector sum of these forces is the buoyant force.

Equation Transcription:

$\rho{}=180\ kg/{m}^{3}$

$p={p}_{0}+\rho{}gh$

Text Transcription:

rho =180 kg/m^3

p=p_0+rho gh

ANSWER:

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