A \(5.00-\mathrm{kg}\) air-filled, sealed, rigid float tank that has a volume of \(1.00 \mathrm{~m}^{3}\) is pulled \(50.4 \mathrm{~m}\) down to the seafloor in order to assist in lifting a sunken object. A diver standing on the seafloor cranks a winch to pull the tank down (Figure P18.20).

(a) How much work is required to pull the tank down? (Ignore the mass of the air in the tank and the mass of the winch rope. Assume that the water mass density does not change with depth.) 

\((b)\) What is the average power required if it takes \(10 \mathrm{~min}\) to winch down the tank?

Data from Figure P18.20

50.4 m V = 1.00 m 5.00 kg