Filling a Book Shelf: The Work Required

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To fill the library's bookshelf, the work required is calculated based on the potential energy change as books are lifted from the floor to their respective shelves. Each shelf is spaced 33.0 cm apart, starting from a height of 12.0 cm. With an average book mass of 1.90 kg and each shelf holding 29 books, the total work involves summing the potential energy for each book lifted to its shelf height. The formula for work is W = Ug, where Ug represents the change in potential energy. This calculation emphasizes the importance of understanding the relationship between weight, height, and work in a practical scenario.
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In a certain library the first shelf is 12.0 cm off the ground, the remaining 4 shelves are each spaced 33.0 cm above the previous one. If the average book has a mass of 1.90 kg with a height of 22.0 cm, and average shelf holds 29 books (standing vertically), how much work is required to fill this book shelf from scratch, assuming the books are all laying flat on the floor to start?
 
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The change in potential energy is equal to the Work W=Ug...just add them up for each row :smile: :smile: :smile: :smile:
 
"Very hard"?

You consider multiplying integers "very hard"?

The work to put each book on a shelf is the weight of the book times the height it is lifted to the shelf.
 

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