HW__8_F05 - (f) Draw a graph of the engine power P(t) vs....

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Physics 112 Homework #8 Fall 2005 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 study: Chap. 6: Qs #Q6.17, Q6.18, Q6.19, Q6.20 (not turned in) Chap. 7: Q's # Q7.13, Q7.14, Q7.15, Q7.16, Q7.17, Q7.18, Q7.19 Chap. 7: Es & Ps: 7.17, 7.51, 7.77, 7.86 Chap. 12: Qs #Q12.10, Q12.13, Q12.15, Q12.18; Chap. 8: Qs #Q8.3, Q8.4, Q8.7,Q8.15 Due Friday, Oct.21 at lecture: #7.46 [Loop-the-Loop] #7.72 [Fish on a Spring] #7.74 [Sliding Package] #12.73 [Comet Orbit] #8.19 [Blocks + Spring] #8.23 [Rock Propulsion] #6.91 [Hydropower] Please explain and/or illustrate your reasoning. #6.92 [Auto Engine Power] Please add: (d) Draw graphs of the car's position x(t), velocity v(t), and acceleration a(t) vs. time t for parts (a) thru (c) with constant engine power. Please align your graphs above one another. (e) In order for the car to accelerate with constant acceleration a starting from rest, what must be the engine power P(t) as a function of time?
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Unformatted text preview: (f) Draw a graph of the engine power P(t) vs. time t for part (e) with constant acceleration. #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, 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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