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PHYS 2214 - Spring 2009 PS3 Answer Key PHYS 2214: Waves, Optics, and Particles — Spring 2009 Problem Set 3 – Answer Key February 10, 2009 c ± Joe P. Chen 1. Tsunamis. (a) Wave speed is v = 220 m s - 1 . (b) Water depth is H = 4940 m . (c) The max vertical speed is v y, max = 1 . 75 × 10 - 4 m s - 1 , which is imperceptibly small on the human scale! 3. Transverse wave on an ideal string. (a) The snapshot, and the select points A, B, C, and D, are shown in Figure 1. Max transverse speed = 7 . 76 m s - 1 , and max transverse acceleration = 1 . 20 × 10 4 m s - 2 . Figure 1: (Color online) A snapshot of the right-moving transverse wave of Problem 3 at time t = 0. Points A, B, C, D correspond to the various points mentioned in Part (a). (b) The wave propagates in the + x direction (to the right) at speed v = 321 m s - 1 , which is about 40 times the max transverse speed. (c) Tension τ = 101 N (d) The segment whereupon the one-sided vertical force is maximal is one where the slope is maximal, i.e.,

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