At a depth of 10.9 km, the Challenger Deep in the Marianas Trench of the Pacific Ocean is the deepest site in any ocean. Yet, in 1960, Donald Walsh and Jacques Piccard reached the Challenger Deep in the bathyscaph Trieste. Assuming that seawater has a uniform density of 1024 kg/m3, approximate the hydrostatic pressure (in atmospheres) that the Trieste had to withstand. (Even a slight defect in the Trieste structure would have been disastrous.)

NASA is designing a mission to explore​ Titan, the largest moon of Saturn. Titan has numerous hydrocarbon lakes containing a mix of liquid methane and liquid ethane in unknown proportions. As part of the​ mission, a small submersible vehicle will explore Kraken​ Mare, the largest of these lakes. Assuming the maximum depth of Kraken Mare is less than 450 meters​ [m], how much total pressure units of in atmospheres​ [atm] must the submersible be designed to​ withstand? Assume the surface pressure on Titan is 146 kilopascals​ [kPa], the surface temperature is 93 kelvins​ [K], and the gravity is 1.35 meters per second squared m/s2. The specific gravity of liquid methane is 0.415 and the specific gravity of liquid ethane is 0.546.

In the figure, water flows through a horizontal pipe and then out into the atnosphere at a speed v- left and right sections of the pipe are 5.20 cm and 2.80 cm. (a) What volume of water flows into the atmosphere during a 10 min period? In the left section of the pipe, what are (b) the speed vs and (e) the gauge pressure? -150 m/s. The diameters of the (a) Number (b) Number Units k) Number i Units

AP-1 A 155 kg chunk of iron is floating in a large container of mercury. The densities of iron and mercury are 7,850 kg/m³ and 13,600 kg/m³, respectively. (a) What % of the iron chunk's volume is submerged below the surface of the mercury? (b) What force would need to be applied to the iron chunk to completely submerge it?

Show the calculation supporting the claim that atmospheric pressure near sea level corresponds to the pressure exerted by a column of mercury that is about 760 mm high. The density of mercury = 13.6 g/cm3.

A hospital patient receives a 600-cc blood transfusion through a needle with a length of 5cm and an inner diameter of 1mm. If the blood bag is suspended 0.75m above the needle, how long will the transfusion take? (You can neglect the viscosity of the blood flowing in the plastic tube between the bag and the needle. Note also that 1 cc = 10-6 m3and that blood has a mass density of ρ = 1060kg m-3 and a molecular viscosity of μ = 3.5 x 10-3 kg m-1 s-1).