Question

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 1

Let the density of water be ρ_w.

Then ρaL³ + ρL³g = ρ_wxL³(g + a)

x = (ρ / ρ_w)

Thus, the fraction of the block submerged is independent of any acceleration, whether gravity or elevator.