A fire hose sprays 450 liters of water a minute onto a fire with a velocity of 17.0 m/s. Water has a density of 1 kg/liter. What is the average force acting on the fireman holding the hose due to the water?

PLEASE EXPLAIN.

To find the average force acting on the fireman holding the hose due to the water, we need to use the principles of fluid dynamics.

First, let's calculate the mass flow rate of the water. Mass flow rate is the amount of mass passing through a given area per unit time. In this case, it is given as 450 liters per minute.

To convert liters to kilograms, we need to multiply by the density of water, which is 1 kg/liter. So, the mass flow rate can be calculated as:

Mass flow rate = 450 liters/minute * 1 kg/liter = 450 kg/minute

However, the unit of minute is not consistent with the unit of time typically used in physics, which is seconds. To convert minutes to seconds, we need to multiply by the conversion factor of 1 minute/60 seconds. Therefore, the mass flow rate can be further calculated as:

Mass flow rate = 450 kg/minute * (1 minute/60 seconds) = 450/60 kg/second = 7.5 kg/second

Now, we can calculate the average force acting on the fireman using Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):

F = ma

In this case, the acceleration is due to the change in velocity of the water, as it goes from the hose to the fire. The change in velocity can be calculated by subtracting the initial velocity (which is 0 since the water is at rest in the hose) from the final velocity (17.0 m/s).

Change in velocity = final velocity - initial velocity = 17.0 m/s - 0 m/s = 17.0 m/s

Now, let's assume that the fireman is holding the hose in a horizontal position, meaning the water is being sprayed horizontally. In this case, the force acting on the fireman is equal to the mass flow rate multiplied by the change in velocity:

F = mass flow rate * change in velocity

F = 7.5 kg/second * 17.0 m/s = 127.5 N

Therefore, the average force acting on the fireman holding the hose due to the water is 127.5 Newtons.