(b) A diver practicing how to swim in a swimming pool takes enough air from his tank to fully expand his lungs before abandoning the tank at depth L and swimming to the surface, failing to exhale during his ascent. At the surface, the difference between the external pressure on him and the air pressure in his lungs is 10.3 kPa. From what depth did he start? Take the density of water to be 998 kg/m³ and acceleration due to gravityg %3D 9.8 m/s?.

A submarine is stranded on the bottom of the ocean with its hatch 25 m below the surface. In this problem, assume the density of sea water is 1.03 × 103 kg/m3.  Calculate the force, in newtons, needed to open the hatch from the inside, given it is circular and 0.35 m in diameter. The air pressure inside the submarine is 1.00 atm. F =

Suppose a distant world with surface gravity of 7.84 m/s2 has an atmospheric pressure of 8.44 ✕ 104 Pa at the surface. (a) What force is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of a methane ocean? N (b) What is the weight of a 10.0-m deep cylindrical column of methane with radius 2.00 m? Note: The density of liquid methane is 415 kg/m3. N (c) Calculate the pressure at a depth of 10.0 m in the methane ocean. Pa

A patient is receiving saline solution from an intravenous (IV) system. The solution passes through a needle of length 2.1 cm and radius 0.195mm. There is an 8.00 mm-Hg gauge pressure in the patient's vein.Use the density of seawater, 1025 kg/m3, for the solution. Assume its viscosity at 20 °C is 1.002×10−31.002×10−3 Pa·s. a. When the surface of the saline solution in the IV system is 1.25 m above the patient’s vein, calculate the gauge pressure, in pascals, in the solution as it enters the needle. For this first calculation, assume the fluid is approximately at rest.  b. The actual volume flow rate of the saline solution through the IV system is determined by its passage through the needle. Find the volume flow rate, in cubic centimeters per second, when the saline solution surface is 1.25 m above the patient’s vein.  c. If the saline solution bag is lowered sufficiently, the surface of the solution can reach a height at which the flow will stop, and reverse direction at even lesser…