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Chapter 2: Q4DQ (page 496)

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

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