Answer to Question #135264 in Mechanics | Relativity for Akinibom Sandra

Question

A garden hose is originally full of motionless water. What additional force is necessary to hold the nozzle stationary after the water flow is turned on if the discharge rate is 0.600 kg/s with a speed of 25.0 m/s?

Answer 1

We can find the additional force from the formula:

$$F = v \dfrac{dm}{dt},$$

here, $v = 25 \ \dfrac{m}{s}$ is the speed of water, $\dfrac{dm}{dt} = 0.6 \ \dfrac{kg}{s}$ is the discharge rate of water.

Then, we get:

$$F= 25 \ \dfrac{m}{s} \cdot 0.6 \ \dfrac{kg}{s} = 15 \ N.$$

Answer:

$F = 15 \ N.$