Math  /  Algebra

Question(II) Eight books, each 4.0 cm thick with mass 1.6 kg , lie flat on a table. How much work is required to stack them one on top of another?

Studdy Solution
Sum the work done for all books to find the total work required.
Total work Wtotal W_{\text{total}} is the sum of the work done for each book: Wtotal=W1+W2+W3+W4+W5+W6+W7+W8 W_{\text{total}} = W_1 + W_2 + W_3 + W_4 + W_5 + W_6 + W_7 + W_8 Wtotal=0+0.6272+1.2544+1.8816+2.5088+3.136+3.7632+4.3904 W_{\text{total}} = 0 + 0.6272 + 1.2544 + 1.8816 + 2.5088 + 3.136 + 3.7632 + 4.3904 Wtotal=17.5616J W_{\text{total}} = 17.5616 \, \text{J}
The total work required to stack the books is approximately 17.56J \boxed{17.56} \, \text{J} .

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