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To, find the energy that the first wave carries. This is given by:

2(A^2),

where A is the amplitude of the function. Your first wave is:

2(0.5)^2 = 2(.25) = 0.5,

so its energy is 1/2. Compare that to the energy of A=1 m:

2(1)^2 = 2(1) = 2

The energy increased by a factor of 2^2 (that is, 4), so we take the difference:

dE = E[final] - E[initial]

dE = 2 - 0.5 = 1.5

Energy of the 2nd wave (probably sinusoidal as a guess) is greater by 1.5 J.

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Q: A wave's amplitude is 0.5 meters If its amplitude is increased to 1 meter how much does its energy change?
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