Water @ 50°F flows between an upper reservoir and a lower reservoir through a 2-ft diameter,15,000-ft long cast-iron pipe. The difference in water levels between the two reservoirs is 100

ft.There is a hill between the reservoirs with a summit 3 ft above the upper reservoir. The pipeline must cross the hill where its length is 3,000-ft. Ignore minor losses and assume f = 0.016. a) Determine minimum depth below summit of hill that pipeline can be constructed if pressure at the top of the siphon cannot fall below atmospheric b) Briefly explain why siphon pressure is typically designed to fall to no more than 60-70% of negative atmospheric pressure at any point c) If a third reservoir is added to this system and all reservoirs meet at a common junction, briefly explain why junction pressure is constant at steady state