The volume of the underwater part of the vessel is 25 m ^ 3. What is the mass of the vessel.

A ship immersed in water can be thought of as a system that is in equilibrium:

Ft = Fa, where Ft is the force of gravity acting on the vessel (Ft = m * g, where m is the mass of the vessel, g is the acceleration of gravity), Fa is the buoyancy force of Archimedes (Fa = ρw * g * V, where ρw is the density water (ρw = 1000 kg / m³), V is the volume of the submerged part of the vessel (V = 25 m3)).

Let’s calculate the mass of the ship:

m * g = ρw * g * V.

m = ρw * V = 1000 * 25 = 25000 kg = 25 t.

Answer: The mass of the vessel is 25 tons.