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I have been searching for days (and trying many different formulas) to try and work out the force (thrust) produced by a water pump at the end of a hose (given a perfect frictionless world) and was hoping someone could help...

The following specifications are given:

Fluid: Water (Density = 1000kg/m3)

Inlet/Outlet/Hose diameter: 6cm

Inlet/Outlet/Hose area: 0.028m2

Flow rate of pump: 1000L/m

Pump Head: 25m = 3.5kg/cm2 - Head to Pressure: p(kg/cm2) = 0.1 h(m)

Starting velocity of water: 0m/s

Pump height: 0m

What would be the correct formula to determine the thrust produced by the exiting water, think of the hose exit as a rocket engine exit... Essentially, I'm trying to workout if the following theoretical pump could lift say a 10kg weight off the ground (require around 98N for force).

If you need any more information please let me know!

Thanks,

Adam