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A cubical block of wood, 10.0 cm on a side, floats at the

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 31E Chapter 12

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 31E

A cubical block of wood, 10.0 cm on a side, floats at the interface between oil and water with its lower surface 1.50 cm below the interface (?Fig. E12.33?). The density of the oil is 790 kg/m3. (a) What is the gauge pressure at the upper face of the block? (b) What is the gauge pressure at the lower face of the block? (c) What are the mass and density of the block?

Step-by-Step Solution:

Solution 31E Step 1: Introduction : In this question, we have a wooden cube which is floating on the interface of oil and water In the first part we need to find the gauge pressure on the upper part of the cube In the second part we need to find the gauge pressure on the lower part of the cube In the third part we need to find the mass and density of wood Data given Length of the cube L = 10 cm Length immersed in oil L O 1.50 cm Density of the oil o = 790 kg/m 3 Let us consider the figure given Step 2 : We need to find the gauge pressure on the upper part of the wood It is given by PT P =o gh o o We have h = 0.015 m 0 Substituting values we get PT P =o790 kg/m × 9.8 m/s × 0.015 m P P = 116 Pa T o Hence we have gauge pressure on top of the wood as 166 Pa We need to find the gauge pressure on the lower part of the wood It is given by PB P =o gho+ oh w w hw= 10 cm = 0.1 m 3 3 w= 1 × 10 kg /m Substituting values we get 3 2 3 3 2 P B P = o90 kg/m × 9.8 m/s × 0.1 m + (1 × 10 kg /m × 9.8 m/s × 0.015 m) P P = 774.2 Pa + 147 Pa B o PB P =o921 Pa Hence we have gauge pressure on bottom of the wood as 921 Pa

Step 3 of 4

Chapter 12, Problem 31E is Solved
Step 4 of 4

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 31E from chapter: 12 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 31E from 12 chapter was answered, more than 831 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Block, face, oil, Density, pressure. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “A cubical block of wood, 10.0 cm on a side, floats at the interface between oil and water with its lower surface 1.50 cm below the interface (?Fig. E12.33?). The density of the oil is 790 kg/m3. (a) What is the gauge pressure at the upper face of the block? (b) What is the gauge pressure at the lower face of the block? (c) What are the mass and density of the block?” is broken down into a number of easy to follow steps, and 73 words. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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