A boat drops a solid brass spherical anchor of radius 0.5m into the ocean to a depth of 2000m below sea level. Assume pressure at sea level is 1.0x105 N/m2, and density of water is 1.0x103 kg/m3. (a) What is the pressure exerted on the spherical anchor at 2000m below sea level?

The maximum depth recorded for a deep-sea dive is 308 m. Assuming that (i) the density of seawater is constant at 1.03 x 103 kg/m3 and (ii) the atmospheric pressure is 101 kPa, calculate the gauge pressure at this depth (in Pa and kPa).

How high in meters must a column of water be to exert a pressure equal to that of a 760 mm of mercury provided that mercury is 13.6 times denser than water?

A full-term fetus typically has a mass of 3.50 kg. (a) What pressure does the weight of such a fetus create if it rests on the mother’s bladder, supported on an area of 90.0 cm2? Remember (100)2 cm2 = 1 m2.

In the figure, a cube of edge length L = 0.633 m and mass 1040 kg is suspended by a rope in an open tank of liquid of density 1.03E+3 kg/m³. Find (a) the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is 1.00 atm, (b) the magnitude of the total upward force on the bottom of the cube, and (c) the tension in the rope. (d) Calculate the magnitude of the buoyant force on the cube using Archimede's principle. (a) Number 18340.3 (b) Number i 3992.2 (c) Number i 14348.1 (d) Number i 3992.2 Units L N Units N Units Units N N L/2 ◄► ◄►

A flat roof is very susceptible to wind damage during a thunderstorm or tornado. If a flat roof has an area of 700 m2 and winds of speed 61.0 m/s blow above it, (a) determine the pressure difference between the upper and lower surfaces of the roof. The density of air is 1.29 kg/m3 . (Written steps required)  (b) determine the magnitude of the force exerted on the roof. (Written steps required)

A small jet airplane has a total wing area of 90.0 m2 and a mass of 8.88 104 kg (a) If this jet is in horizontal flight, determine the pressure difference between the lower and upper surfaces of the wings. (b) When the speed of air traveling over the wing is 227 m/s, determine the speed of air under the wing. Use 1.29 kg/m3 as the density of air. (c) Why do all aircraft have a maximum operational altitude?

The weight of your 1420-kg car is supported equally by its four tires, each inflated to a gauge pressure of 35.0 lb/in². (a) What is the area of contact each tire makes with the road?