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  • Calculate Wave Speed: 2 Cycles Per Second & 5m Wavelength
    Here's how to solve this problem:

    Understanding the Concepts

    * Frequency: The number of complete cycles an object makes per second. In this case, the frequency is 2 cycles/second (2 Hz).

    * Wavelength: The distance between two consecutive crests (or troughs) of a wave. Here, the wavelength is 5 meters.

    * Wave Speed: The speed at which a wave travels.

    Formula

    The relationship between wave speed (v), frequency (f), and wavelength (λ) is:

    v = fλ

    Calculation

    1. Substitute the given values:

    v = (2 Hz) * (5 m)

    2. Calculate the wave speed:

    v = 10 m/s

    Answer

    The speed of the water wave is 10 m/s.

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