A fountain stands on a scale and has reached steady state. Water is pumped up through a vertical nozzle of cross-sectional area
A and leaves the nozzle with constant upward speed
v0. The water rises, falls back, and lands in the surrounding pool, where the pump recirculates it. The mass of water currently held inside the pump, pipe, and pool is
Mw; the dry mass of the fountain hardware is
Mf. Air resistance is negligible, the pool is wide enough to catch all returning water, and the density of water is
ρ. Take
g as the gravitational acceleration.
What does the scale read?