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Answer:

The energy increases by a factor of 1.2.

Explanation:

The energy (E) of an ocean wave is directly proportional to the square of its amplitude (A).

EA² or E = kA²

If you have two waves with amplitudes A₁ and A₂, then

[tex]\frac{E_{2} }{E_{1} } = \frac{A_{2}^{2} }{A_{1}^{2} } = (\frac{A_{2} }{A_{1} }})^{2}[/tex]

If A₂ = 1.1A₁, then

[tex]E_{2} = E_{1} \times (\frac{1.1A_{1} }{A_{1} })^{2} = (1.1)^{2} = 1.2[/tex]

The energy increases by a factor of 1.2.

When the amplitude of the ocean wave increases by a factor of 1.1 ; The wave energy will increase by 1.21

The higher the amplitude of a wave the higher the energy produced by the wave therefore we can state that the energy produced by a mechanical wave is proportional to the square of its amplitude

Energy produced ∝ A²

∴ E = kA²

Given that the amplitude ( A )  increases by a factor of 1.1

E = k * ( 1.1 )²

where k is an unknown constant

E = ( 1.1 )² = 1.21

Hence we can conclude that the energy of the wave will increase by a factor of 1.21

Learn more : https://brainly.com/question/15890820

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