Question

During a rising tide Ocean waves often become larger if the amplitude of a wave increases by a Factor of 1.1, by how much does the energy increase

Answer 1

Answer:

The energy of the wave will increase by a factor of 1.21.

Explanation:

Given:

The amplitude of the ocean wave is increased by a factor of 1.1.

The energy associated with a wave depends on the amplitude of the wave.

The energy (E) is directly proportional to the square of the amplitude (A) of the wave and is expressed as:

$E=kA^2\\Where\ k\to constant\ of\ proportionality$

So, if the amplitude is doubled, then the energy will become 4 times and if the amplitude is halved, then the energy reduced by a factor of one by four.

Here, the amplitude is increased by a factor of 1.1. So, the energy associated with it will increase by a factor of square of 1.1 which is given as:

$Increase\ in\ Energy=(1.1)^2=1.21\ of\ the\ initial\ value$

Therefore, the energy of the wave will increase by a factor of 1.21.