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A diver, fully equipped for diving including a wetsuit, weighs 185 lbs (84 kg) and displaces 3 ft³ (85 liters) of water. What amount of weight does the diver need to add to be neutrally buoyant in 33 ft (10 m) of seawater?

1) 32 lbs (14.5 kg)
2) 64 lbs (29 kg)
3) 22 lbs (10.1 kg)
4) 7 lbs (3 kg)

Answer :

Final answer:

To achieve neutral buoyancy, the diver needs to add a weight that creates a buoyant force equal to their weight. The correct answer is 32 lbs/14.5 kg.

Explanation:

To be neutrally buoyant in water, the buoyant force acting on the diver must equal the weight of the added weight.

The weight of the added weight can be calculated using Archimedes' principle. Since the diver weighs 185 lbs or 84 kgs, and displaces 3 ft^3 or 85 liters of water, the buoyant force exerted by the water is 1.3x10^7 N. Therefore, the diver needs to add a weight that creates a buoyant force of 1.3x10^7 N to balance their weight.

The answer is option 1) 32 lbs/14.5 kg.

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