Question

A block of ice with an area A and height h floats in a water of density ${\rho }_0$. What work should be performed to submerge the ice block completely into water if density of ice is ${\rho }_1$.

Answer 1

A blockof ice whose area $=A$

Height$=h$

Water density $={\rho }_0$

Work done $=?$

Density of ice ${\rho }_1$

Work$=\frac{{\rho }_{ice}}{{\rho }_{water}}\times V_{ice}W{\rho }_w={\rho }_{ice}\times V_{ice}{V}_{massoftheice}=V_{water}\times {\rho }_{water}\left(mass\right)W=\frac{V_{ice}{\rho }_{ice}}{{\rho }_{water}}$