QUESTION 20* This and the following three questions relate to the same situation

Question

QUESTION 20*

This and the following three questions relate to the same situation:

Water flows at a rate of 3.11 kg/s through a hose with a diameter of 3 cm. What is the speed of the water in the hose?

(a)   1.3 m/s
(b)   1.8 m/s
(c)   2.4 m/s
(d)   7.2 m/s
(e)   4.4 m/s

QUESTION 21**

Suppose your answer to the preceding question is V. If the hose is attached to a nozzle with a diameter of 0.750 cm, what is the speed of the water in the nozzle?

(a)   4 V
(b)   16 V
(c)   V / 4
(d)   V / 16
(e)   V

QUESTION 22*

The number of kilograms per second flowing through the nozzle is:

(a)   greater than 3.11
(b)   less than 3.11
(c)   equal to 3.11

QUESTION 23**

Where is the water pressure larger?

(a)   in the hose
(b)   in the nozzle
(c)   the pressure is the same in each

Explanation / Answer

Q20.water flow rate=area of cross section*velocity of water

given that flow rate=3.11 kg/s=3.11*0.001 m^3/s

diameter=3 cm=0.03 m

area=pi*radius^2=0.0007068 m^2

then speed=water flow rate/area=4.4 m/s

option e is correct.

Q21. as diameter decreases by 4 times, the area will decrease 16 times.

then speed of flow will increase 16 times as flow rate remains constant.

so option b is correct.

Q22. flow rate remains the same.

so option c is correct.

Q23. as they are at same height, the pressure is same in each.

option c is correct.

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