Chapter 13, Problem 82P

To increase the effect of the buoyant force on a submarine, the crew replaces seawater in the ballast tanks with air. To push the seawater out of the tanks, they use compressed air from air flask. The submanne is located 10 m below the surface in seawater with density ${\text{1030 kg/m}}^{\text{3}}$ and temperature $6°C$. How many kilograms of air should the crew let out from the flasks to increase the difference between the gravitational force and the buoyant force exerted on the submarine by $5\times {10}^6$

N? Assume the temperature of air in the flasks is the same as the seawater temperature.