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14 votes
14 votes
I need help right now lol,So the question is :During high tide, ocean waves often become larger. If the amplitude of a wave increases by a factor of 4, by how much does the energy increase?

User Weiy
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2 Answers

13 votes
13 votes
Answer : 1.12 times
User Anayansi
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2.5k points
16 votes
16 votes

Answer:

1.21 times

Step-by-step explanation:

The energy of a wave is proportional to the square of the amplitude of the wave.

Mathematically:

e & a²

where

E is the energy of the wave

A is its amplitude

In this problem, the amplitude of the wave increases by a factor of 1.1; it means that the new amplitude can be written as

A=1.1A

Therefore, this means that the energy of the wave increases by a factor:

E' & A'²= (1.1A)² =1.1²A² =1.21A² =

1.21E

Therefore, the energy of the wave increases by a factor 1.21.:

User Doyz
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2.3k points