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A farmer making grape juice fills a glass bottle to the

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 41PE Chapter 5

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 41PE

Problem 41PE

A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands more than the glass when it warms up, in such a way that the volume increases by 0.2% (that is, ΔV / V0 = 2×10−3) relative to the space available. Calculate the magnitude of the normal force exerted by the juice per square centimeter if its bulk modulus is 1.8×109 N/m2 , assuming the bottle does not break. In view of your answer, do you think the bottle will survive?

Step-by-Step Solution:

Solution 41PE

Step 1 of 4

The juice inside the glass expands with the increased volume of 0.2 %, when it warms up . Here we need to calculate the magnitude of the normal force exerted by juice per unit square centimeter if the bulk modulus is  . Also, we need to comment whether the glass will survive this pressure.

Given data,

The ratio of change in volume to original volume,

Bulk modulus,  

To find,

Force per unit area,

Step 2 of 4

Chapter 5, Problem 41PE is Solved
Step 3 of 4

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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