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# Archimedes' Principal: Buoyant force

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A.) Water is in the big beaker in the figure on the left. Scale 1 reads 83 newtons, scale 2 reads 677 newtons, and scale 3 reads 0 newtons. The hanging block has a density of 10 x 103 kg/m3. To the nearest tenth of a newton what does scale 1 read after the block is fully lowered into the beaker of water?

b.) To the nearest tenth of a newton what is the new reading on scale 2?

c.) The experiment is repeated with the valve opened. What is the new reading on scale 3?

d.) What is the new reading on scale 2?

##### Solution Summary

A three parter for buoyant force and the reading of scales.

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Buoyancy
In physics, buoyancy is an upward force on an object immersed in a fluid (i.e. a liquid or a gas), enabling it to float or at least to appear to become lighter. If the buoyancy exceeds the weight, then the object floats; if the weight exceeds the buoyancy, the object sinks. If the buoyancy equals the weight, the body has neutral buoyancy and may remain at its level. If its compressibility is less than that of the surrounding fluid, it is in stable equilibrium and will, indeed, remain at rest, but if its compressibility is greater, its equilibrium is unstable, and it will rise and expand on the slightest upward perturbation, but fall and compress on the slightest downward perturbation. It was the ancient Greek, Archimedes of Syracuse, who first discovered the law of buoyancy, sometimes called Archimedes' principle:

The buoyant force is equal to the weight of the displaced fluid.

Typically, the weight of the displaced fluid is directly proportional to the volume of their displaced fluid (Specifically if the surrounding fluid is of uniform density.) Thus, among objects with equal masses, the one with greater volume ...

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