The greatest ocean depths on the Earth are found in the Marianas Trench near the Philippines, where the depth of the bottom of the trench is about 11.0 km. Calculate the pressure due to the ocean at a depth of 10.5 km, assuming sea water density is constant all the way down. (The validity of the assumption of constant density is examined in one of the integrated concept problems.) ______ atm

It is a fact that blood flows more rapidly in the aorta than in the capillaries.  The cross sectional area of the aorta must be ___________ the total cross sectional area of the capillaries.   less than     equal to     greater than Consider an incompressible liquid flowing in a pipe of constant diameter.   ΔP is the pressure difference between the 2 ends of the pipe.  Choose the correct statement regarding the volumetric flow.  It will decrease with increased ΔP, and increase with greater pipe radius.     It will increase with increased ΔP, and increase with greater length of the pipe.     it will decrease with greater length of the pipe, and increase with greater pipe radius.     it will decrease with increased viscosity of the liquid, and decrease with greater pipe radius.

A pipe with a radius of 51 cm has water flowing at 5.3 m/s. If water goes into a new pipe with radius 21 cm, how much will the pressure decrease? ΔΡ- unit Pa

(a) A submersible vehicle is in a lake at a depth of 22.2 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa. ____ Pa   (b) The submersible vehicle has a circular window with a diameter of 33.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.) ____N

As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted on the floor by the heel if it has an area of 1.39 cm2 and the woman's mass is 55.5 kg. Express the pressure in pascals. (In the early days of commercial flight, women were not allowed to wear high-heeled shoes because aircraft floors were too thin to withstand such large pressures.) ______ Pa

(a) A submersible vehicle is in a lake at a depth of 32.4 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa.   (b) The submersible vehicle has a circular window with a diameter of 40.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.)

An electrical short cuts off all power to a submersible diving vehicle when it is a distance of 26 m below the surface of the ocean. The crew must push out a hatch of area 0.55 m2 and weight 350 N on the bottom to escape. a)If the pressure inside is 1.0 atm, what downward force must the crew exert on the hatch to open it? Express your answer in newtons.