The question only asked for the atmospheric pressure at the top of the building, nothing was said about the other end (I assume it's hooked up to a water tower or something).
Now, as far as your second question goes, I don't really know. If the fluid is ideal, the velocity of the water...
I guess the thing that bothers me is that there seems to be some sort of inherent problem in solving Bernoulli's equation for pressure using velocity. Even given that the fluids are at the same height, if there is some sort of large velocity increase, it seems that the pressure could end up...
101.3kPa = 1 atm...not 10.13. The downward pressure of the water is only about 2 atm. (Water increases 1 atm in pressure about every 10.34m in depth). So it's not that there isn't enough pressure, the pressure actually runs around 3atm gauge...
So I guess we're back to the drawing board...
This isn't really a homework problem, but my physics teacher was going over a test review and he made up some numbers on the spot for a problem involving Bernoulli's equation and a building. The specifics were,
A water pipeline with the water under a pressure of 5 atm is being pumped into a...