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A fisherman notices that his boat is moving up and down periodically without any

ID: 2125032 • Letter: A

Question

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.00s for the boat to travel from its highest point to its lowest, a total distance of 0.610. The fisherman sees that the wave crests are spaced a horizontal distance of 6.30 apart. a.)  How fast are the waves traveling? b.)  What is the amplitude of each wave? class="introduction edible" id="yui_3_3_0_25_137774320366426" prop="introduction"> id="mathjax_msie_frame">> A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.00s for the boat to travel from its highest point to its lowest, a total distance of 0.610. The fisherman sees that the wave crests are spaced a horizontal distance of 6.30 apart. a.)  How fast are the waves traveling? b.)  What is the amplitude of each wave? class="introduction edible" id="yui_3_3_0_25_137774320366426" prop="introduction"> id="mathjax_msie_frame"> A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.00s for the boat to travel from its highest point to its lowest, a total distance of 0.610. The fisherman sees that the wave crests are spaced a horizontal distance of 6.30 apart. a.)  How fast are the waves traveling? b.)  What is the amplitude of each wave? class="introduction edible" id="yui_3_3_0_25_137774320366426" prop="introduction"> A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.00s for the boat to travel from its highest point to its lowest, a total distance of 0.610. The fisherman sees that the wave crests are spaced a horizontal distance of 6.30 apart. a.)  How fast are the waves traveling? b.)  What is the amplitude of each wave? A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.00s for the boat to travel from its highest point to its lowest, a total distance of 0.610. The fisherman sees that the wave crests are spaced a horizontal distance of 6.30 apart. a.)  How fast are the waves traveling? b.)  What is the amplitude of each wave?

Explanation / Answer

Time periode = 2*2 = 4 s

wave length,lamda = 6.3 m

a) v = w/k = (2*pi/T) / (2*pi/lamda) = lamda/T = 6.3/4 = 1.575 m/s

b) A = 0.61/2 = 0.305 m

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