Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q6E (page 497)

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes \(2.5 s\)for the boat to travel from its highest point to its lowest, a total distance of\(0.53 m\). The fisherman sees that the wave crests are spaced \(4.8 m\)apart.

(a) How fast are the waves traveling?

(b) What is the amplitude of each wave?

(c) If the total vertical distance traveled by the boat were \(0.30 m\)but the other data remained the same, how would the answers to parts (a) and (b) change?

Short Answer

Expert verified

(a) \(0.96\,{m \mathord{\left/{\vphantom {m s}} \right.\\} s}\)

Step by step solution

01

Given data

Time required \(t = 2.5\,s\)

Wavelength \(\lambda = 4.8\,m\)

02

Concept/ Formula used

Formula:

\(\begin{array}{l}\lambda = \frac{v}{f}\\v = \frac{\lambda }{T}\end{array}\)

Where,\(\lambda \)is wavelength,\(v\)is velocity and\(f\)is frequency of wave

03

Calculation for wave speed

(a)

Time period

\(\begin{array}{c}T = 2t\\ = 2(2.5\,s)\\ = 5.0\,s\end{array}\) \(\begin{array}{c}v = \frac{{4.8\,m}}{{5.0\,s}}\\ = 0.96\,{m \mathord{\left/{\vphantom {m s}} \right.\\} s}\end{array}\)

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

You blow across the open mouth of an empty test tube and produce the fundamental standing wave of the air column inside the test tube. The speed of sound in air is 344 m/s and the test tube act as a stopped pipe. (a) If the length of the air column in the test tube is 14.0 cm, what is the frequency of this standing wave? (b) What is the frequency of the fundamental standing wave in the air column if the test tube is half filled with water?

A baby’s mouth is 30 cm from her father’s ear and 1.50 m from her mother’s ear. What is the difference between the sound intensity levels heard by the father and by the mother?

The longest pipe found in most medium-size pipe organs is 4.88 m (16 ft) long. What is the frequency of the note corresponding to the fundamental mode if the pipe is (a) open at both ends, (b) open at one end and closed at the other?

The hero of a western movie listens for an oncoming train by putting his ear to the track. Why does this method give an earlier warning of the approach of a train than just listening in the usual way?

If you wait at a railroad crossing as a train approach and passes, you hear a Doppler shift in its sound. But if you listen closely, you hear that the change in frequency is continuous; it does not suddenly go from one high frequency to another low frequency. Instead the frequency smoothly (but rather quickly) changes from high to low as the train passes. Why does this smooth change occur?
See all solutions

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Read Explanation

Waves Physics

Read Explanation

Work Energy and Power

Read Explanation

Electricity

Read Explanation

Linear Momentum

Read Explanation

Kinematics Physics

Read Explanation
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.

Sign-up for free