an ocean wave has a length of 10 meters. a wave passes a fixed location every 2 seconds. what is the speed of the wave

v = 5m/s

Explanation:

Explanation:

The speed of a wave can be found by using the equation

v=λν where λ  is the wavelength of the wave and ν its frequency.

The question already has given us the wavelength of these waves to be

10m meaning λ=10m

The task at hand is now to find the frequency of these waves.

Consider the information given with regard to frequency. We know that the frequency of a given wave is the number of cycles it takes in a set number of seconds. A wave passes through a stationary boat every 2 seconds. A wave passing through a boat implies that a crest or trough has passes through a boat, here it does so every 2 seconds. This implies that for every one cycle, 2 seconds pass.

We now know for each cycle 2 seconds pass, hence

ν=1cycle/2seconds ⇒ν=12/s

Substituting for

λ and ν,v=102m/s

I'm sure the rest will be done smoothly.

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