/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 17 A fisherman notices a buoy bobbi... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A fisherman notices a buoy bobbing up and down in the water in ripples produced by waves from a passing speedboat. These waves travel at $2.5 \mathrm{m} / \mathrm{s}\( and have a wavelength of \)7.5 \mathrm{m} .$ At what frequency does the buoy bob up and down?

Short Answer

Expert verified
Answer: The buoy bobs up and down at approximately 0.333 Hz.

Step by step solution

01

Identify the given information

We are given the wave speed (v) and wavelength (λ): Wave speed (v) = 2.5 m/s Wavelength (λ) = 7.5 m
02

Apply the wave speed formula to solve for frequency (f)

The formula for wave speed is: v = f * λ We need to solve for frequency (f), so we'll rearrange the formula: f = v / λ
03

Substitute the given values into the formula

Now, we will substitute the given speed and wavelength into the formula: f = (2.5 m/s) / (7.5 m)
04

Calculate the frequency (f)

Divide the speed by the wavelength to find the frequency: f = 0.333... Hz
05

Interpret the result

The buoy bobs up and down at a frequency of approximately 0.333 Hz, or roughly once every 3 seconds.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The formula for the speed of transverse waves on a spring is the same as for a string. (a) A spring is stretched to a length much greater than its relaxed length. Explain why the tension in the spring is approximately proportional to the length. (b) A wave takes 4.00 s to travel from one end of such a spring to the other. Then the length is increased \(10.0 \% .\) Now how long does a wave take to travel the length of the spring? [Hint: Is the mass per unit length constant?]
A transverse wave on a string is described by $y(x, t)=(1.2 \mathrm{cm}) \sin [(0.50 \pi \mathrm{rad} / \mathrm{s}) t-(1.00 \pi \mathrm{rad} / \mathrm{m}) x]$ Find the maximum velocity and the maximum acceleration of a point on the string. Plot graphs for displacement \(y\) versus \(t\), velocity \(v_{y}\) versus \(t\), and acceleration \(a_{y}\) versus \(t\) at \(x=0.\)
Write the equation for a transverse sinusoidal wave with a maximum amplitude of \(2.50 \mathrm{cm}\) and an angular frequency of 2.90 rad/s that is moving along the positive \(x\) -direction with a wave speed that is 5.00 times as fast as the maximum speed of a point on the string. Assume that at time \(t=0,\) the point \(x=0\) is at \(y=0\) and then moves in the \(-y\) -direction in the next instant of time.
A guitar string has a fundamental frequency of \(300.0 \mathrm{Hz}\) (a) What are the next three lowest standing wave frequencies? (b) If you press a finger lightly against the string at its midpoint so that both sides of the string can still vibrate, you create a node at the midpoint. What are the lowest four standing wave frequencies now? (c) If you press hard at the same point, only one side of the string can vibrate. What are the lowest four standing wave frequencies?
Two coherent sound waves have intensities of $0.040 \mathrm{W} / \mathrm{m}^{2}\( and \)0.090 \mathrm{W} / \mathrm{m}^{2}$ where you are listening. (a) If the waves interfere constructively, what is the intensity that you hear? (b) What if they interfere destructively? (c) If they were incoherent, what would be the intensity? [Hint: If your answers are correct, then (c) is the average of (a) and (b).]
See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.