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A cork on the surface of a pond bobs up and down two times per second on ripples having a wavelength of 7.60 cm. If the cork is 14.0 m from shore, how long does it take a ripple passing the cork to reach the shore

Answer :

Onyebuchinnajigo

The time taken for the cork to reach the shore is 92.1 s.

The given parameters:

  • Frequency of the oscillation, f = 2 Hz
  • Wavelength of the oscillation, λ = 7.6 cm
  • Distance of the cork from the shore, d = 14.0 m

The speed of the wave is calculated as follows;

[tex]v = f \lambda \\\\v = 2 \times 0.076 \\\\v = 0.152 \ m/s[/tex]

The time taken for the cork to reach the shore is calculated as follows;

[tex]time = \frac{distance}{speed} \\\\time = \frac{14}{0.152} \\\\time = 92.1 \ s[/tex]

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