Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 1 - Introduction to Physics - Problems and Conceptual Exercises - Page 16: 33

Answer

(a) $A=0.060~m^{2}$ (b) $A_{2}=\frac{1}{4}A_{1}$

Work Step by Step

(a) $1~in=2.54\times10^{-2}~m$ $A=L\times W=(8.5~in)(11~in)=93.5~in^{2}$ $A=(93.5~in^{2})(\frac{2.54\times10^{-2}~m}{1~in})^{2}=0.060~m^{2}$ (b) $A_{1}=L_{1}\times W_{1}$ and $A_{2}=L_{2}\times W_{2}$ $L_{2}=\frac{L_{1}}{2}$ and $W_{2}=\frac{W_{1}}{2}$. So: $A_{2}=L_{2}\times W_{2}=\frac{L_{1}}{2}\times \frac{W_{1}}{2}=\frac{1}{4}(L_{1}\times W_{1})=\frac{1}{4}A_{1}$
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