Physics 9702 · AS & A Level · Density and pressure

Density and pressure — practice question

The diagram presents two blocks $X$ and $Y$. Block $X$ has edges each of length $a$. When block $X$ is put into a liquid of density $\rho$, with the shaded face level with the liquid surface, it experiences an upthrust $U$. Block $Y$ has horizontal sides measuring $a$ and $2a$ and a height of $\frac{1}{2}a$. Block $Y$ is placed in a liquid of density $2\rho$, again with the shaded face level with the liquid surface. What is the upthrust on block $Y$?

  • A$\frac{1}{2}U$
  • B$U$
  • C$2U$
  • D$4U$

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