Back to 12.3 Stress, Strain, and Elastic Modulus

12.3 Exercise 18

Avg difficulty 2.5

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 0.20%. Calculate the force exerted by the juice per square centimeter if its bulk modulus is 1.8×109N/m2,1.8 \times 1 0^{9} \text{N} / \text{m}^{2} , assuming the bottle does not break.

OpenStax University Physics Volume 1, 12.3 Stress, Strain, and Elastic Modulus, exercise 18

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.