Water from a tank with pressure P is pumped with power 40 W and flow rate Q = 0.005 m3/s through a pipe system with diameter D= 3 cm except at the end with diameter d= 1 cm, where it jets into air at Patm. Find the pressure P in the tank. All pipes have roughness height =0.01 mm and each pipe segment has length of 2 m. The entrance loss coefficient is KL = 0.2, and the contraction between D and d has KL = 1.1 based on the velocity on the low speed side. The loss coefficients for elbows 3 and 4 are both KL = 0.35. Where are the most significant losses come from? (Hint: you need to consider the shaft work (the pump "head"))