A cork on the surface of a pond

Phuti Abrina

Phuti Abrina

Answered question

2022-07-24

A cork on the surface of a pond bobs up and down two times per second on ripples having a wavelength of 8.5 cm .if the cork is 10 m from the shore, how long does it take a ripple passing the cock to reach the shore?

Answer & Explanation

alenahelenash

alenahelenash

Expert2023-06-19Added 556 answers

To solve this problem, we need to determine the time it takes for a ripple to travel from the cork to the shore. We are given that the cork bobs up and down two times per second on ripples with a wavelength of 8.5 cm. Additionally, the cork is located 10 m from the shore.
Let's start by converting the wavelength of the ripple to meters:
Wavelength of the ripple = 8.5 cm = 0.085 m
Next, we can calculate the speed of the ripple by multiplying the wavelength by the frequency (number of bobs per second):
Speed of the ripple = Wavelength of the ripple × Frequency
Given the frequency is 2 times per second, we have:
Speed of the ripple = 0.085 m × 2 = 0.17 m/s
Now, we can determine the time it takes for the ripple to travel from the cork to the shore, which is a distance of 10 m:
Time = Distance / Speed of the ripple
Substituting the values, we get:
Time = 10 m / 0.17 m/s = 58.82 s
Therefore, it takes approximately 58.82 seconds (s) for a ripple passing the cork to reach the shore.
The solution is represented as:
Time=DistanceSpeed of the ripple=10 m0.17 m/s=58.82 s

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