Water is flowing out of the taller container through a 0.05-m-diameter pipe, as shown in the figure. Assuming a friction factor of f = 0.03 in the pipe system, K 1 = K 2 = 0.3, K 3 = 0.2, and that the...

Water is flowing out of the taller container through a 0.05-m-diameter pipe, as shown in the figure. Assuming a friction factor of f = 0.03 in the pipe system, K₁
= K₂
= 0.3, K₃
= 0.2, and that the flow rate is not affecting the water level in the containers, calculate the required z₁
so that the flow rate in the pipes will be 10 L/s. (x = 70 m,
z = 10 m, z₂
= 2 m).