This question is a short free-response question. Show your work for each part of the question.

(10 points, suggested time 20 minutes)

One section of a5m

wide irrigation channel that is filled with water contains an incline, as shown. At the top of the incline, the channel is3m

deep and the water has a speed of2m/s

. At the bottom of the incline, the channel has a depthD

and the water has a speed ofv

b

.

(a) In a coherent, paragraph-length response, explain how the changes in the channel affect the pressure of the water in terms of the energy changes of the water.

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Question 2

(b) The lower part of the channel later gets narrower, as shown in the figure. The shaded area is a slice of water in the section of the channel that is getting narrower.

The following shape represents a side view of the slice of water. The water is moving to the right. On the shape, draw and label vectors to represent the forces (not components) acting on the slice. Represent each force by a distinct arrow starting on, and pointing away from, the shape. The vectors should indicate whether forces have the same magnitude or different magnitudes.

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