Problem that (probably) involves Archimedes' principle

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SUMMARY

The discussion centers on a physics problem from the Serway textbook (Problem 14.26) involving a rectangular block submerged in water and subsequently in oil. Initially, the block weighs 15N, with a tension of 10N when 25% submerged in water. As oil with a density of 800 kg/m³ is added, the tension in the string is expected to increase due to the additional buoyant force exerted by the oil, which displaces some of the water and alters the overall buoyancy acting on the block.

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tsw99
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Homework Statement


Serway book 14.26
The weight of a rectangular block is 15N. With a thin string, the center of the horizontal bottom face of the block is tied to the bottom of a beaker partly filled with water. 25% of the block is submerged when the tension is 10N

Oil of density 800 kg/m^3 is steadily added to the beaker and form a layer above the water and surronding the block. The oil exerts forces on each of the four side walls that the oil touches.

Explain what happens to the tension when oil is added?

Homework Equations


The Attempt at a Solution


I suggest the tension will increase by looking at the next question, but I really do not understand why the tension changes by adding oil. Not only the buoyancy changes because it also displaces some oil?
 
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hi tsw99! :wink:
tsw99 said:
… I suggest the tension will increase by looking at the next question, but I really do not understand why the tension changes by adding oil. Not only the buoyancy changes because it also displaces some oil?

i assume that the string stays the same length, and the water stays the same volume, so the same amount of the block is "under" water, but some more of the block is now covered by oil

find the buoyancy force before, and the buoyancy force after :smile:
 

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