An undersea earthquake or a landslide can producean ocean wave of short duration

Chapter 16, Problem 54

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An undersea earthquake or a landslide can producean ocean wave of short duration carrying great energy,called a tsunami. When its wavelength is large comparedto the ocean depth d, the speed of a water wave isgiven approximately by v 5 !gd. Assume an earthquakeoccurs all along a tectonic plate boundary runningnorth to south and produces a straight tsunami wavecrest moving everywhere to the west. (a) What physicalquantity can you consider to be constant in the motion of any one wave crest? (b) Explain why the amplitudeof the wave increases as the wave approaches shore.(c) If the wave has amplitude 1.80 m when its speedis 200 m/s, what will be its amplitude where the wateris 9.00 m deep? (d) Explain why the amplitude at theshore should be expected to be still greater, but cannotbe meaningfully predicted by your model.

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