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A person is filling a knee-high bucket with water using a garden hose and holding it such that water discharges from the hose at the level of his waist. Someone suggests that the bucket will fill faster if the hose is lowered such that water discharges from the hose at the knee level. Do you agree with this suggestion? Explain. Disregard any frictional effects.

Solution 70P

Step1 :

In this question, we need to check if there is increase in velocity of water flow if the height is reduced

Step 2 :

We can explain this using Bernoulli’s equation

We have

Here

Assume it is at the ground

We shall assume this to same as atmospheric pressure

With the assumptions considered we have

Thus we have obtained velocity at height above the knee level