Five waves pass a dock in 2.0 s. If the waves are traveling at 10.0 m/s, then what is the wavelength of the waves?

Please show all your work. Thank you so much :D

Respuesta :

AL2006
Here are the formulas, in case you feel like putting them in your notebook.

Actually, this is only ONE formula, and you should memorize this one:

                      Speed = (frequency) x (wavelength) .

With just a pinch of algebra, the others come straight from that one.
So if you memorize that one, you can whip these up any time you
need them:

                      Frequency = (speed) / (wavelength) 
and
                     Wavelength = (speed) / (frequency) .
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Using a formula:

                         Wavelength = (speed) / (frequency) .

                                             = (10 m/s) / (5 / 2 sec)

                                             = ( 10 · 2 / 5 )  (m-sec/s)
                                          
                                             =        4  meters .
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Using your brain:

5 students in a parade march past a light pole in 2 seconds.
They're all marching at 10 m/s. 
How far apart are they ?

-- If 5 march past in 2 seconds, then 2.5 march past every second.

-- 2.5 march past in the time it takes them to move 10 meters.

-- So 2.5 of them stretch 10 meters.

-- The distance from one to the next is   (10) / (2.5) = 4 meters .