Q. 15

A cubical block of density ρ is floating on the surface of water. Out of its height L, fraction x is submerged in water. The vessel is in an elevator accelerating upward with acceleration a. What is the fraction immersed?

Answer :

Let ρ be the density of the block, L be its height and A be its area and ρw be the density of water.


Let l be the length of the submerge part, then l = Lx



Here, in case1,




Weight of the block = weight of submerged water




In the case2, in the frame relative to the elevator, the effective coefficient of gravity becomes g = g + a




Weight of the block = weight of submerged water




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