1) What is the minimum gauge pressure needed in the water pipe leading to a building if water is to come out of a faucet on the 12th floor, 41 m. above the pipe?

2) Estimate the pressure exerted on the floor by a 55 kg. store clerk standing momentarily on a single heel of their shoe, where the heel area = 8 cm^{2}.

3) A 3 Kg. balloon is filled with 10 m^{3} of helium. How much force is needed to hold it down? (Don’t forget the weight of the balloon.)

4) The lift used in an automotive garage consists of a piston exerting a constant pressure of 200 kpa. (kilopascal) on a hydraulic reservoir. The output piston connected to the lift has a diameter of 40.0 cm. What is the maximum force that can be exerted by this lift ?

5) In 2012, the movie director James Cameron descended in a custom build submarine to a depth of 10,920 metres in the Pacific ocean near Guam into the Marianas Trench. Neglecting the increase in water density with depth:

- Find the increase in pressure on the Trieste at the bottom of its dive (assume the interior is maintained at normal surface atmospheric pressure).
- What is the pressure, at this depth, in atmospheres ?

6) A rectangular wooden draft 3m by 4m in size and of weight 10,000 N is floating in fresh water lake. What is the minimum depth of fresh water required to float this raft?

7) A water hose of internal diameter 12.5 mm is used to fill a bucket it is noted that 8L of fresh water (about 2 gallons) is collected in 1 minute.

- what is the volume equivalent of 8L expressed in m
^{3} (cubed)? (5 points)
- What is the rate of flow expressed as m^3/s? (5 points)
- What is the velocity of water flow from the hose, expressed as m/s? (10 points)

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