Chapter 12, Problem 12.74P

Assume that crude oil from a supertanker has density 750 kg/m³. The tanker runs aground on a sandbar. To refloat the tanker, its oil cargo is pumped out into steel barrels, each of which has a mass of 15.0 kg when empty and holds 0.120 m³ of oil. You can ignore the volume occupied by the steel from which the barrel is made, (a) If a salvage worker accidentally drops a filled, sealed barrel overboard, will it float or sink in the seawater? (b) If the barrel floats, what fraction of its volume will be above the water surface? If it sinks, what minimum tension would have to be exerted by a rope to haul the barrel up from the ocean floor? (c) Repeat parts (a) and (b) if the density of the oil is 910 kg/m³ and the mass of each empty barrel is 32.0 kg.