Question

A cork on the surface of a pond bobs up and down two times per second on ripples having a wave length of 9.10 cm. If the cork is 13.0 m from shore, how long does it take a ripplepassing the cork to reach the shore?

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asked 2020-10-20
A cork on the surface of a pond bobs up and down two times per second on ripples having a wave length of 9.10 cm. If the cork is 13.0 m from shore, how long does it take a ripplepassing the cork to reach the shore?

Answers (1)

2020-10-21
This is a wave problem
Frequency is 2 Hz (twice per second)
Wave lengthis 0.0810 meters
\(\displaystyle\text{speed of wave}=\text{wave length}\cdot\text{freq}={0.0810}\cdot{2}={0.162}\ \frac{{m}}{{s}}\)
\(\displaystyle\text{time}={\frac{{\text{distance}}}{{\text{speed}}}}={\frac{{{13.0}\ {m}}}{{{0.162}\ \frac{{m}}{{s}}}}}={80.25}\ \text{ seconds}\)
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