ASSIGNMENT NO. 1FLUID AT REST

1. A 60-kg performer balances on a cane. The end of the cane in contact with the floor has an area of 0.92 cm2. Find the pressure exerted on the floor by the cane. (Neglect the weight of the cane).

2. A certain town receives its water directly from a water tower. If the top of the water tower is 26.0 m above the water faucet in a house, what would be the water pressure at the faucet? (Neglect the effects of other water users)

3. At a height of 10 km (33 000 ft) above sea level, atmospheric pressure is about 210 mm of mercury. What is the resultant normal force on a 600 cm2 window of an airplane flying at this height? Assume the pressure inside the plane is 760 mm of mercury. The density of mercury is 13 600 kg/m3.

4. The area of a piston of a force pump is 8.0 cm2. What force must be applied to the piston to raise oil (ρ = 0.78 g/cm2) to a height of 6.0 m? Assume the upper end of the oil is open to the atmosphere.

5. The diameter of the large piston of a hydraulic press is 20 cm. and the area of the small piston is 0.50 cm2. If a force of 400N is applied to the small piston, a) what is the resulting force exerted on the large piston? b) What is the increase in pressure underneath the small piston? c) Underneath the large piston?