lizzi asked in Science & MathematicsPhysics · 10 months ago

The drawing shows a graph of two waves traveling to the right at the same speed. (a) Using the data in the drawing....?

The drawing shows a graph of two waves traveling to the right at the same speed. Using the data in the drawing, What is the maximum speed for a particle attached to each wave?

Wavelength for A: 2 m

Wavelength for B: 4 m

frequency when at 14m/s

A: 7 Hz

B: 3.5 Hz

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  • 10 months ago
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    Poorly worded question. You can’t ‘attach’ a particle to a wave. I guess they mean the particle is part of the medium, e.g. a particle of string if we have a wave on a string.

    The particle will execute simple harmonic motion and we can use the standard formula:

    max. speed = ω * amplitude

    We don’t need the wave speed (14m/s) as we told frequency and ω = 2πf. Hence:

    max. speed = 2πf * amplitude

    For wave A, max. particle speed = 2π(7) * 0.50 = 22.0m/s

    For wave B, max. particle speed = 2π(3.5) * 0.25 = 5.5m/s

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