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One cubic foot (1 ft\(^3\)) of seawater weighs about 64 pounds. Suppose you pour one cubic foot of seawater into a light plastic bag, tie the bag closed with no air bubbles inside, and lower it into the ocean via a light attached string.

When the bag of seawater is completely submerged, how much force do you have to exert on the string to hold it up?

A. 0 lbs
B. 32 lbs
C. 64 lbs
D. 128 lbs
E. You have to push it down because it tends to come up.

Please circle your answer and explain your reasoning.

Answer :

Final answer:

The correct answer is b. 32 lbs. Using Archimedes' principle, the buoyant force exerted by one cubic foot of seawater is 32 pounds, meaning that you would need to exert a force of 32 lbs on the string to hold it up.

Explanation:

To calculate the force needed to hold up the bag of seawater submerged in the ocean, we use Archimedes' principle, which states that the buoyant force is equal to the weight of the water displaced. Given that one cubic foot of seawater weighs about 64 pounds, the buoyant force exerted by it is half of its weight, which is 32 pounds.

Therefore, to hold the bag up, you would need to exert a force of 32 lbs on the string.The correct answer is b. 32 lbs.

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