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Two spheres are made of wood – the first is of a variety of wood whose density i

ID: 1865180 • Letter: T

Question

Two spheres are made of wood – the first is of a variety of wood whose density is equal to that of water, while the second is of a variety whose density is greater than that of water.    These spheres have the same volume – and the first remains wherever it is placed in the water, so it is effectively suspended in mid-water. The second rests on the bottom, being more dense than water. Compare the buoyant forces on the two spheres.

Nothing specifically can be concluded without knowing exactly the densities of the spheres.

The force on the second is zero, and therefore less than that on the first, which is non-zero.

They are identical

The force on the second is non-zero and is less than that on the first.

Explanation / Answer

The buoyant force experienced by a body is equal to product of unit weight of liguid in which the the objevt is immersed and the volume of liquid replaced by the object.

In the given scenario, bothe the spheres have equal volume and are fully submerged in water. Therefore, the buoyant force experienced by both the spheres will be equal.

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