Question

Jordan's class collected 119 paperback books to donate to the library Casey's class collected 105 books. Students from the two classes stacked all the books they could in groups of 9 and put all the remaining books in a bow

Answer 1

Students need to know the dimensions, weight, friction, center of mass, and moment of force concepts to estimate the tipping point of a stack of books with each one overhanging by 1 inch.

Step-by-step explanation:

In order to estimate how many books a group of students can stack with each book overhanging by 1 inch before the stack tips, they would need to know several pieces of information. First, the dimensions of the books, specifically the length of the book, as this will impact how far out the overhang can extend before it surpasses the center of mass. Additionally, the weight of each book would be relevant because the total weight influences the stability of the stack. Understanding the friction between the books is also important, as this will affect how easily the books might slip. Lastly, a basic understanding of the center of mass and moment of force concepts will be critical to making the calculation as these dictates when and why the stack will tip over.