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?

The time is

Explanation:

Given that,

Area

Area

Height = 2.50 cm

Volume = 10.0 L

We need to calculate the speed

Using equation of continuity

Put the value into the formula

.....(I)

Now, using Bernoulli equation

Here,

.....(II)

Put the value into the formula

Put the value of in the equation (I)

We need to calculate the flow rate

Using formula of flow rate

We need to calculate the time

Using formula of time

Put the value into the formula

Hence, The time is

the independent variable, or the one that is intentionally manipulated is the speed.

heat the gas and measure the pressure