Question

Inn to Question 1 (15 points): A small tsunami is moving at a speed of 36 kilometers per hour in the positive x-direction. The height, from the crest to the trough, of each wave is 4m (h = 4m). The distance between the first and third crest is 10m (d=10m). a) Find the wave equation assuming that at time zero the oscillation is at the crest as depicted in the diagram. Also, assuming that the vertical axis is the y-axis and the horizontal axis is the x-axis. (10 points) b) In the diagram above, there are four completes oscillations. Assuming that all four oscillation strike the coast, transferring all of its energy, how much energy will be transferred to the coast? The linear mass density of the wave, u, is 1 000 000 kg per meter (although you can't see it on the diagram the width of the wave is vast). (5 points)

Answer 1

(6) at fixed bou boundary d h t a G -97 here h = 2x = 2x Amplitude . Amplitude sh and d = 20 1 ad 5 m 2 Archies

a ware: cam at t 20 general equation of a g. A sime cotto) ey & Sim ( W (0) + D) sime = simt(") = 7 initial phase of ware. ra speed of Сала 36 kmln = 36 x 5 - lomle 18 speed we af f - V QHz T S anf 20 (2) ua Equation of aware: y= 2sim (unt +A 2

Page b) Total energ wavelengte transferred over & Malwes 1/2 x (1000.000) (212 (408265) 6 1579.14 8 10 J Energy transformed over 4 4X 159.14 x 106 I 1) 6 6316.568100