A solid block has sides of length L, 2L and 4L. The block is submerged in water of uniformdensity so that the faces with the largest area are horizontal, as shown.surface of waterL4L2LThe upthrust acting on the block is U.The block is now rotated to a new position so that the faces with the smallest area are horizontal.The block remains fully submerged in the water.What is the upthrust acting on the block in its new position?A 4U B U C 2U D 4U
Question
A solid block has sides of length L, 2L and 4L. The block is submerged in water of uniformdensity so that the faces with the largest area are horizontal, as shown.surface of waterL4L2LThe upthrust acting on the block is U.The block is now rotated to a new position so that the faces with the smallest area are horizontal.The block remains fully submerged in the water.What is the upthrust acting on the block in its new position?A 4U B U C 2U D 4U
Solution
The upthrust (also known as buoyant force) acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. This principle is known as Archimedes' principle.
In this case, regardless of the orientation of the block, the volume of the block (and therefore the volume of water it displaces when fully submerged) remains the same. Since the density of the water is uniform, the weight of the displaced water (and therefore the upthrust) remains the same regardless of the orientation of the block.
Therefore, the upthrust acting on the block in its new position is the same as the upthrust acting on it in its original position, which is U. So the answer is B, U.
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