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HW__8_S06

# HW__8_S06 - U(c = 0 U(d = 2.0 mJ U ∞ =...

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Physics 112 Homework #8 Spring 2006 Read: Chapter 6 (section 6.4) Chapter 7 (sections 7.4, 7.5) Chapter 12 (section 12.3) Chapter 8 (intro., sections 8.1, 8.2) For discussion: Chapter 7: Q's # Q7.13, Q7.14, Q7.15, Q7.16, Q7.17, Q7.18, Q7.19; 7.86 (not turned in) Chapter 12: Qs #Q12.10, Q12.13, Q12.15, Q12.18; Es & Ps #12.23 Chapter 8: Qs #Q8.3, Q8.4, Q8.7, Q8.17, Q8.19, Q8.22 Chapter 8: Es & Ps: #8.7, 8.15, 8.25, 8.63, 8.81, 8.87 Due Friday, Mar. 17 at lecture: #6.91 [Hydropower] Please explain your reasoning. #7.46 [Loop-the-Loop] #12.73 [Comet Orbit] #8.19 [Blocks + Spring] #8.23 [Rock Propulsion] #7.38 [Energy Graph] Please add: Suppose the marble has a mass of 0.010 kg, and the values of U(x) at points a, b, c, d, and x = are: U(a) = 0, U(b) = - 6.0 mJ,
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Unformatted text preview: U(c) = 0, U(d) = + 2.0 mJ, U( ∞ ) = 0. [NOTE: "mJ" = millijoule = 10-3 J] (d) If no energy is dissipated by friction, drag, etc., what minimum amount of kinetic energy would the marble need when very far away (x = + ∞ ) and heading towards O in order for it to be able to reach point b? How much kinetic energy would it then have at point b? (e) What would be the marble's speeds at x = + ∞ and x = b in the previous part? (f) How much energy would need to be dissipated once the marble reaches point b in order for it to oscillate back-and-forth between points a and c but no further? (g) Illustrate your answers to parts (d) and (f) on the energy graph (Fig. 7-28) in the manner shown in Fig. 7-23....
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