A garden hose is attached to a water faucet on one end and a spray nozzle on the

Question

A garden hose is attached to a water faucet on one end and a spray nozzle on the other end. The water faucet is turned on, but the nozzle is turned off so that no water flows through the hose. The hose lies horizontally on the ground, and a stream of water sprays vertically out of a small leak to a height of 0.84 m. Find the gauge* pressure of the water:

a.) inside the hose, sufficiently far from the hole.
8232 Pa

b.) halfway up to the top of the spray.
____________ Pa

c.) at the top of the spray.
____________ Pa

*amount by which the pressure differs from atmospheric pressure.

Explanation / Answer

pressure difference in side the hose is

P1+rho g h1 = P2 + rho g h2

P2- P1 = rho h (h1-h2)

delta P = rho *g*(0-h)

           = 1000*9.8*0.84

         = 8232 Pa

since the energy will be in the form of either k.e or p.e

so the gauge pressure at half the way and top of spray is zero

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