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PH202 HW1-2 - Oregon State University Physics 202 HW1-2...

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Oregon State University Physics 202 , Winter 2010 HW1-2 (due Jan 15 at 5:00 p.m.) Page 1 Oregon State University Physics 202 Winter Term, 2010 HW1-2 Note: This HW assignment, due January 15, covering topics—mixed freely—from Chapter o 1 r 3 of the text. Of these problems, only two will be scored (for a possible 20 points). Donʼt forget the extra credit point that is available, too—see the course web site, under the links for recitation/Homework (HW). / These problems are presented in no particular order and may freely use/mix concepts throughout the assigned sections of Chapter 13. Follow the recommended format for problem solutions, use SI units unless directed otherwise, and assume three significant digits in all numerical answers. 1. Pure water and then oil (which donʼt mix) are poured into a U-shaped tube, open at both ends. The liquids come to equilibrium as shown here. What is the oilʼs density? 2. A raft is made of 12 identical logs lashed together. Each log is 36.0 cm in diameter, 7.25 m long, and has a density of 750 kg/m 3 . How many 60-kg persons can the raft hold (floating in pure water) while still keeping everyoneʼs feet dry? 3. Using Archimedesʼ Principle and the labels and diagram shown here: (a) prove that if an object is floating in a liquid, the fraction of the objectʼs total volume that is immersed (below the surface) is the ratio of its density ( ρ obj ) to the liquidʼs density ( ρ liq ); (b) prove that when ice melts in a glass of water, the water level does not change.
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