1.From Bernoulli\'s energy conservation equation, if you have a large water tank
ID: 1415000 • Letter: 1
Question
1.From Bernoulli's energy conservation equation, if you have a large water tank which is filled with water and attach a hose to a hole in the bottom of the tank, you should be able to spray water only as high as the surface of the water in the tank. You try this with a 1/4" diameter hose and you find that the stream of water does not go high enough to come even close to the surface of the water at the top of the tank. This happens because:
A Bernoulli's equation works only for a hole in the tank, not a hose.
B energy is lost due to interactions of the water with the walls of the hose.
C energy is lost to the external electric field.
D energy is lost to the external magnetic field.
2. In the last question, if the 1/4" hose is replaced by a 1" hose, then the water begins to spray much higher. This happens because
the larger hose makes the tank lose water faster.
the larger hose means that more of the water can move through the hose without coming into close contact with the hose walls.
the larger hose adds energy to the water allowing the water to go higher.
there is a pump which pressurizes the water and so it goes higher.
3.In the previous question, assuming that the 1/4" and 1" diameter hoses are the same length, how much more water will flow through the 1" hose compared with the 1/4" hose?
16 times more
32 times more
128 times more
256 times more
the larger hose makes the tank lose water faster.
the larger hose means that more of the water can move through the hose without coming into close contact with the hose walls.
the larger hose adds energy to the water allowing the water to go higher.
there is a pump which pressurizes the water and so it goes higher.
3.In the previous question, assuming that the 1/4" and 1" diameter hoses are the same length, how much more water will flow through the 1" hose compared with the 1/4" hose?
16 times more
32 times more
128 times more
256 times more
Explanation / Answer
a)
B energy is lost due to interactions of the water with the walls of the hose.
2
the larger hose means that more of the water can move through the hose without coming into close contact with the hose walls.
3
16 times more
(since velocity is proportional to Area)
the larger hose means that more of the water can move through the hose without coming into close contact with the hose walls.
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