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P112HW9S06 - Physics 112 Homework#9 Spring 2006 Prelim...

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Physics 112 Homework #9 Spring 2006 *** Prelim Exam #2 is 7:30-9 PM onThursday evening, Apr. 6. It covers chaps. #6-9 + secs. 10.3 (thru Ex. 10.7) & 12.3, circular motion dynamics (sec. 5.4 + HW #5 problems), HWs #6-9, Labs #5 & 6 + Pre- Labs, COOPs #6-8, and all relevant lecture material. Persons with conflicts or special needs please contact Edith Cassel ASAP. *** Read: Chapter 8 (sections 8.4, 8.5), Chapter 9 (all) Chapter 10 (only section 10.3 through Example 10.7) For discussion: Chap. 8: Qs #Q8.9, Q8.10, Q8.18, Q8.21; Es & Ps: #8.43, 8.71, 8.93, 8.95, 8.97 (not turned in) Chap. 9: Qs #Q9.4, Q9.5, Q9.6, Q9.9, Q9.10, Q9.12, Q9.13, Q9.18, Q9.19, Q9.21 Chap. 9: Es & Ps #9.1, 9.13, 9.25, 9.35, 9.71, 9.79, 9.83, 9.85 Chap. 10: Qs #Q10.15, Q10.17, Q10.18; Es & Ps #10.21, 10.67, 10.75 To be worked and discussed before Prelim Exam #2, but not turned in: #8.65 [Railroad Handcar] #9.52 [Parallel Axis Theorem] #9.47 [Flywheel Energy Storage] #9.89 [Disks, Blocks, & String] #9.41 [Wagon Wheel] Please add: (b) What is the wheel's total kinetic energy when rolling without slipping at a speed of 3.0 m/s? What fraction of this is translational KE? What fraction is rotational KE? (c) If this wheel started rolling at 3.0 m/s up a hill of slope angle 20°, how far along the hill could it roll freely without slipping until it came to rest? 1. [Melting the Polar caps] The polar ice caps contain about 2.3 x 10 19 kg of ice. This mass contributes essentially nothing to the moment of inertia of the earth because it is located at the poles, close to the axis of rotation. Estimate the change in the length of the day that would be expected if the polar ice caps were to melt and the water were distributed uniformly over the surface of the earth. (Hint: The moment of
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