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**[SOLVED] Water flow in pipes**

**1. Homework Statement**

Water is circulating through a closed system of pipes in a two floor apartment. On the first floor, the water has a gauge pressure of 3.4 x 10^5 Pa and a speed of 2.1 m/s. However, on the second floor, which is 4.0m higher, the speed of the water is 3.7m/s. The speeds are different because the pipe diameters are different. What is the gauge pressure of the water on the second floor?

**2. Homework Equations**

A1V1 = A2V2

P1 - .5(rho)(v1)^2 + (rho)gy1 = P2 + .5(rho)gy2

Efinal = Einitial

KEfinal + PE final = KEinitial + PE initial

Wnc = E1 - E2 = (.5mv1^2 + mgy1) - (.5mv2^2 + mgy2)

**3. The Attempt at a Solution**

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