(c) If the wave has amplitude 1.80 m when it speed is 200 m/s, what will be its amplitude where the water is 9.00 m deep?
To find the amplitude of a wave in a different depth, we need to understand the relationship between the depth of water and the amplitude of the wave. The relationship is given by the equation:
Amplitude ∝ (Depth)^(1/2)
Where ∝ indicates proportionality.
In this case, we are given the amplitude (A1) and the depth (d1) at one point, and we need to find the amplitude (A2) at another depth (d2).
We can set up the following proportion:
(A1 / d1^(1/2)) = (A2 / d2^(1/2))
Let's substitute the given values into the equation:
A1 = 1.80 m (Amplitude at the initial depth)
d1 = 0 m (Initial depth)
A2 = ? (Amplitude at the new depth)
d2 = 9.00 m (New depth)
Now we can solve the proportion for A2:
(A1 / 0^(1/2)) = (A2 / 9.00^(1/2))
Since 0^(1/2) is undefined, A1 / 0^(1/2) is also undefined. Therefore, there is an issue with this calculation. It seems that the initial depth provided (d1 = 0 m) is likely incorrect or missing.
To calculate the amplitude at a new depth, it is necessary to know the initial depth in order to determine the proportionality constant between the depth and amplitude.