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Physics, 16.07.2019 05:10 jshhs

An earthquake on the ocean floor in the gulf of alaska induces a tsunami (sometimes called a “tidal wave”) that reaches hilo, hawaii, 4710 km away, after a time of 9.07 h. tsunami’s have enormous wavelengths (100- 200 km), and for such waves the propagation speed is v ≈ q g d , where d is the average depth of the water, d is in meters, v is in m/s, and g = 9.8 m/s 2 . from the information given, find the average ocean depth between alaska and hawaii. (this method was used in 1856 to estimate the average depth of the pacific ocean long before soundings were made to give a direct determination.) answer in units of km.

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