Question

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?

Answer 1

141.42135 m/s

Step-by-step explanation:

`\Delta P` = Change in pressure = 10000000 Pa

`\rho` = Density of water = 1000 kg/m³

v = Velocity

From Bernoulli's equation we have

`\Delta P=(1)/(2)\rho v^2\\\Rightarrow 10000000=(1)/(2)1000 v^2\\\Rightarrow v=\sqrt{(10000000* 2)/(1000)}\\\Rightarrow v=141.42135\ m/s`

The velocity of the water is 141.42135 m/s