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I'm currently working on a problem in Eugene Hecht's Physics book. It's about static fluid and the "compressibility module". I'm not sure this traduction makes sense, because my book is translated into French and I can't find the correct English expression. For those who have this book within easy reach, just read the exercice number 20 at chapter 11. For others, I'll give you an approximate translation, as good as my English can be...

Ok, I know I have to give what I've already discovered, but unfortunately all I found is nothing, except the fact that F/A = P. This exercice should normally use (as it is classified in the exercices using mathematical tools) something like a derivative, but I can't find the purpose of any derivative. Clearly, I need some help, a start... ;)Hecht's book said:The compressibility module is defined as B = -(F/A)/(DeltaV/V) where the variation in volume of the body is a result of the application of a uniform F force distributed on the whole surface A. Give for B a more accurate expression taking into account the variation in hydrostatic pressure working on the object. In fluids, we often use the inverse of B, which is the compressibility, K. Explain what is its meaning. Why the sign (-) ?

Thank a lot !

TeTeC

(Excuse me for the potentially bad English mistakes, French is my mother tongue)