1. (a) Calculate the absolute pressure at the bottom of a fresh water lake at a depth of 27.5 m. Assume the density of the water is 1.0 x 10³ kg/m³ and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 cm?

Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 31.6 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 32.0 cm?

Bird bones have air pockets in them to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 49.3 g and its apparent mass when submerged is 4.06 g (the bone is watertight). (a) What mass (in g) of water is displaced? (b) What is the volume (in cm3) of the bone? (c) What is its average density (in g/cm3)?

(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

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) 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.)

(a) A submersible vehicle is in a lake at a depth of 26.6 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 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.) ____ N

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.

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?

A spherically shaped balloon has a radius of 11.5 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 800 kg? Neglect the buoyant force on the cargovolume itself.(The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)