Periodic waves spread out over the surface of a lake where two women, Jenny and Melissa, are fishing in separate boats 46 meters apart. Each

Question

Periodic waves spread out over the surface of a lake where two women, Jenny and Melissa, are fishing in separate boats 46 meters apart. Each woman’s boat bobs up and down 26/min. At a time when Jenny’s boat is at a crest, Melissa’s boat is at its lowest point, and there are 4 additional crests between them. Calculate the wavelength of these water waves.

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Hồng Cúc 3 years 2021-08-17T11:25:10+00:00 1 Answers 27 views 0

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    2021-08-17T11:26:49+00:00

    Answer:

    The wavelength of the water is \lambda = 10.22 m

    Explanation:

    From the question awe are told that

                    The distance between the two boats are 46 m

       Now we are told that a the time the Jenny’s boat is at a crest,Melissa’s boat is at its lowest point, and there are 4 additional crests between them which can be mathematically represented as

                             Number of wavelength = 4 + 0.5(this accounts for the difference in position crest and lowest point)

                                                                  = 4.5

    Now the wavelength of the water is \lambda = \frac{Distance }{Number \ of \ division }

                                                                     = \frac{46}{4.5} =10.22m

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