Question

A can of beans has a volume of 0.612 m³ and mass of 534 kg. It is held fully 75% submerged in salty water with density of 1,050 kg/m³.a) Find the density of the can.b) Find the buoyant force on the can.

Answer 1

a)

In order to find the density of the can, we can divide its mass by its volume:

$\begin{gathered} d=\frac{m}{V}\\ \\ d=\frac{534}{0.612}\\ \\ d=872.55\text{ kg/m^^b3} \end{gathered}$

b)

To find the buoyant force, we can use the formula below:

$\begin{gathered} F_b=\rho_{liquid}\cdot V_{submerged}\cdot g\\ \\ F_b=1050\cdot0.75\cdot0.612\cdot9.8\\ \\ F_b=4723.11\text{ N} \end{gathered}$