Question

Maria is filling a bucket of water from a faucet. After she turns it on, she sees that the cross-sectional area of the water stream right below the faucet is about the size of a quarter, or 4.62×10^4 m2. The stream constricts to about the size of a dime, or 2.52×10^4 m2, after falling 2.50 cm. If the bucket Maria is filling has a volume of 10.0 L, how long will it take to fill the bucket?

Answer 1

I think the power in areas will be negative

I am solving for both the values.

(i) According to Bernoulli's principle, total energy will be conserved. Let us consider the velocity of the water at the end is v and height difference is h.

Therefore, the amount of water flow through the end will be

Therefore the time required to fill the bucket will be

(ii) If we consider the negative power in the value of area, then

Time required will be