Hi Panelman,
It is difficult to define a problem outside your own area of expertise - I have regularly frustrated our electrical people with my "dumb" questions so I understand where you are coming from.
The first thing to determine is how accurately you need the answer i.e. what are you going to use the information for? Unless you are pumping something very different from water the friction pressure drops are going to be very low - about 23 kPa for the 5m line and 30 kPa for the 10m line.
This may be all the info you need. But if you want to get it as accurately as possible you need a lot more info :
You need the viscosity and density of the liquid. If it is a common liquid you can give the piping engineer the composition and temperature and he will have tables to give him the properties.
You have given the length and number of elbows - that's a good start, but are there any valves or other fittings? What class (schedule) of pipe is it - this affects the actual diameter. The pressure drop varies with the 5th power of the diameter, so if you want accurate pressure drops this is important. Are the elbows screwed or flanged or welded? Long, standard or short radius?
You need to know the pipe roughness. Usually this is done from look-up tables from the pipe material, finish and age or condition.
Finally, you need to specify the change in elevation from the pump discharge to the open end.
But before you go hunting down all this info, determine the accuracy needed. If you just wanted to know if the discharge pressure would be less than (say) 5 bar then it would be a waste of time to go to these lengths.
You owe me an answer to my next dumb electrical question ;-)
regards
katmar