qz1sm08sol - May23,2008 PHY2053Discussion Quiz1(Chapter1...

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May 23, 2008 PHY2053 Discussion Quiz 1 (Chapter 1) Name:                                   UFID: **1. (5pts) Suppose we drop an oil droplet of mass 5.98 × 10 ⁻⁷  kg on a smooth surface of  water. The droplet spreads out into a circle with a diameter of 81.2 cm on the water  surface. The oil slick is approximately one molecule thick. Estimate the diameter of the  oil molecule up to one significant figure. The density of the oil is 918 kg/m ³ . Since we need an estimate, we keep one significant figure in each step. The top surface   area and the volume of the oil slick are given by A =  π r ²  =  π (d/2) ²  = 3 × 0.4 ²  = 0.48   0.5 m ² V = m/ ρ  = 6 × 10 ⁻⁷ /9 × 10 ²  = 0.667   7 × 10 ¹º  m ³ Regarding the slick as a cylinder, the diameter of the oil molecule equals the height of   the cylinder. Thus, we have
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