Water in an irrigation ditch of width w = 3.22 m and depth d = 1.04 m flows with a speed of 0.20Jm/s. The mass flux of the flowing water through an imaginary surface is the product of the water's density (1000 kg/m3) and its volume flux through that surface. Find the mass flux through the following imaginary surfaces:

(a) A surface of area wd, entirely in the water, perpendicular to the flow;

(b) A surface with area 3wd/2, of which wd is in the water, perpendicular to the flow;

(c) A surface of area wd/2, entirely in the water, perpendicular to the flow;

(d) A surface of area wd, half in the water and half out, perpendicular to the flow;

(e) A surface of area wd, entirely in the water, with its normal 34.0o from the direction of flow.