Question

A cubical block is floating in a liquid with one third of it's volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g/2.

• A. The fraction of volume immersed in the liquid will change.
• B. The buoyancy force on the block will change.
• C. The buoyancy force will increase by 50 percent.
• D. The pressure in the liquid will increased.

Answer 1

Answer: (B), (C), (D)

The correct options are
B The buoyancy force on the block will change.
C The buoyancy force will increase by 50 percent.
D The pressure in the liquid will increased.

If the volume immersed initially is (V/3). Then $\frac{V}{3}\rho g=mg$ ... (i)
If the volume immersed when the system accelerates is V' then
$V^{\prime }\rho (g+\frac{g}{2})-mg=\frac{mg}{2}\Rightarrow V=\frac{V}{3}$