Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 1, Problem 25P

Estimate how many books can be shelved in a college library with 3500 m2 of floor space. Assume 8 shelves high, having books on both sides, with corridors 1.5m wide. Assume books are about the size of this one, on average.

Expert Solution & Answer
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To determine

Number of books that can be shelved in a college library.

Answer to Problem 25P

Solution: The number of books that can be shelved in a college library of 3500 m2 is 8.75×105 books.

Explanation of Solution

Assume each book is 20 cm deep and 4 cm wide. First, one needs to estimate how much floor space a book occupies and estimate how much floor space a shelf requires.

If one shelf has books on both sides, it should be 50 cm (0.5m) deep. This means that 8 shelves occupy:

  Physics: Principles with Applications, Chapter 1, Problem 25P , additional homework tip  1 depth

Therefore, all shelves cover 14th of the floor space as corridors occupy 1.5 m width.

  Physics: Principles with Applications, Chapter 1, Problem 25P , additional homework tip  2

Now, one book covers a floor space of:

  Physics: Principles with Applications, Chapter 1, Problem 25P , additional homework tip  3

Therefore, the number of books ( nb ) in one shelf is:

  nb=875m20.008m2nb=109375

Finally, the total number of books ( ntot,b ) that can be occupied in 8 shelves is:

  Physics: Principles with Applications, Chapter 1, Problem 25P , additional homework tip  4

Conclusion:

Assuming that each book has 20 cm depth and 4 cm width, the number of books that can be shelved in a college library of 3500 m2 is 8.75×105 books.

Chapter 1 Solutions

Physics: Principles with Applications

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