/*! 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} Q4DQ The amplitude of a wave decrease... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The amplitude of a wave decreases gradually as the wave travels down a long, stretched string. What happens to the energy of the wave when this happens?

Short Answer

Expert verified

It will Decrease.

Step by step solution

01

Given Data

The amplitude of a wave decreases.

02

Concept

The addition of kinetic energy and potential energy of an object is defined as the mechanical energy.

03

Explain the reasoning

The Energy,

\(E = \frac{1}{2}k{A^2}\)

k = spring constant

A = amplitude

As the energy is directly proportional to the square of the amplitude of the wave, if the amplitude of the wave is decreasing, the energy of the wave will also decrease

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

Two strings of different mass per unit length μ1and μ2are tied together and stretched with a tension F. A wave travels along the string and passes the discontinuity in μ. Which of the following wave properties will be the same on both sides of the discontinuity, and which will change: speed of the wave; frequency; wavelength? Explain the physical reasoning behind each answer.

Two loudspeakers, Aand B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 172 Hz. You are 8.00​â¶Ä‰mfrom role="math" localid="1655809995061" A. What is the closest you can be to Band be at a point of destructive interference?

BIO Ultrasound in Medicine. A 2.00-MHz soundwave travels through a pregnant woman’s abdomen and is reflected from the fatal heart wall of her unborn baby. The heart wall is moving toward the sound receiver as the heart beats. The reflected sound is then mixed with the transmitted sound, and 72 beats per second are detected. The speed of sound in body tissue is 1500 m/s. Calculate the speed of the fatal heart wall at the instant this measurement is made.

Longitudinal Waves on a Spring. A long spring such as a SlinkyTMis often used to demonstrate longitudinal waves. (a) Show that if a spring that obeys Hooke’s law has mass m, length L, and force constant k′, the speed of longitudinal waves on the spring is v=Lk'm

(see Section 16.2). (b) Evaluate v for a spring with m = 0.250 kg, L = 2.00 m, and k′ = 1.50 N/m.

On the planet Arrakis a male ornithoid is flying toward his mate at 25 m/swhile singing at a frequency of 1200 â¶Ä‰Hz. If the stationary female hears a tone of 1240 â¶Ä‰Hz, what is the speed of sound in the atmosphere of Arrakis?

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.