Final answer:
A flat channel (bottom slope of 0) would not have water flow, hence no discharge would occur. But assuming this is a typographical error and there is a non-zero slope, we can use Manning's equation to calculate the flow of water in this open channel.
Step-by-step explanation:
This problem is essentially a hydraulics problem involving open channel flow. The most common equation to use here would be the Manning's Equation, which is used to calculate the flow of water in an open rectangular channel. It is based on channel slope (S), hydraulic radius (R), and a roughness coefficient (n).
However, it appears the bottom slope (S) is given as 0, which would cause an issue in the Manning's equation as it's in the denominator. A slope of 0 either physically means that the channel is flat, or it's a typographical error in the problem. In the reality of a flat channel, water would not flow hence no discharge would occur.
Assuming this is a typographical error and there exists a non-zero slope, we would apply the Manning's equation: Q = (1/n) * A * R^(2/3) * S^(1/2). Here Q is the discharge per unit width, A is the cross-sectional area, R is the hydraulic radius, n is the roughness coefficient, and S is the slope.
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