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To clean the outside of your house you rent a small
highpressure water sprayer. The sprayer's pump delivers slow
movingwater at a pressure of 10,000,000 Pa. How fast can their
water moveif all of its pressure Potential energy becomes Kinetic
energy asit flows through the nozzle of the sprayer?

Respuesta :

boffeemadrid

Answer:

141.42135 m/s

Explanation:

[tex]\Delta P[/tex] = Change in pressure = 10000000 Pa

[tex]\rho[/tex] = Density of water = 1000 kg/m³

v = Velocity

From Bernoulli's equation we have

[tex]\Delta P=\dfrac{1}{2}\rho v^2\\\Rightarrow 10000000=\dfrac{1}{2}1000 v^2\\\Rightarrow v=\sqrt{\dfrac{10000000\times 2}{1000}}\\\Rightarrow v=141.42135\ m/s[/tex]

The velocity of the water is 141.42135 m/s