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In: Physics

A physics professor lives on the top floor of a 4 story apartment building. the apartment...

A physics professor lives on the top floor of a 4 story apartment building. the apartment is 20 meters above the ground level. The professor's bathtub faucet has an area of 10 cm2. The building is fed by a water pipe that has a cross-sectional area of 100cm2. Use g=10m/s2, and the atmospheric pressure is 100000pa. Note that 1L=1000cm3, and the density of the water is 1000kg/m3.

1. the flow rate Q of the tub is 18L per minute. calculate the speed of the water coming out of the faucet.in cm/s. hint: think about units.

2. what is the speed of the water in the main pipe, assuming no other apartments are using water at that time?

A. exactly the same as the speed of the water coming out of the faucet

B.One-tenth of the value of the speed of the water coming out of the faucet

C. ten times the value of the speed of the water coming out of the faucet

3.with the water flowing as describe above, calculate the pressure of the water in the main pipe at ground level(20 meters below the tub faucet), round off if necessary to the nearest pascal.

4. when considering the pressure in the main pipe, which factor is more important, the flow speed or the height of the apartment above the ground level? Or they are equally important?

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