Question

A cubical block is floating in a liquid with one fourth of its volume immersed in the liquid is all of the system has rendered upward with acceleration g before the fraction of volume immersed in the liquid will be

Answer 1

According to Archimedes Principal

When the body floats on the liquid,

Body weight = up thrust  

Body weight = Vρg

Where V is the body volume and the density of  liquid is σ

Up thrust = Vlσg

Where V1 is a liquid displacement and the density of σ fluid is

Vρg = Vlσg

Vρ = Vlσ

So the amount of body in the liquid depends on the density of both.

It will not be affected when the system moves up or down

So the volume in liquid will be low