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2. The image below shows a cross section of a pipe with varying cross section. Assume that the pipe width (coming out of the page)

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2. The image below shows a cross section of a pipe with varying cross section. Assume that the pipe width (coming out of the page) is the same all along the pipe, and is one block wide. Water totally lls the pipe, and is moving to the right. (Adapted from Knight's \"Physics for Scientists and Engineers\") Each block is 1 | cm" A B C l. Six blocks of water pass by plane A in one second. Shade in the next six blocks to pass by plane A. (5) ii. How many blocks must pass by plane B in one second assuming that water is incompressible? (Shade in the blocks) (5) ill. How many blocks must. pass by plane C in one second? (Shade in the blocks) (5) iv. What is the velocity of the uid at plane A? At plane B? At plane C? (10) v. Compute the ow rate at. A and at C explicitly (yes, this is somewhat circular, but it helps to solidify the concept). Is this consistent with the conti- nuity equation? (10) 3. Given the continuity equation, if a single pipe has area of 4 cm2 and velocity of 2m/s, and then the pipe widens to 5 cm\

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