Q4DQ
Question
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?
Step-by-Step Solution
Verified Answer
It will Decrease.
1Step 1: Given Data
The amplitude of a wave decreases.
2Step 2: Concept
The addition of kinetic energy and potential energy of an object is defined as the mechanical energy.
3Step 3: 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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