What is the Archimedean force acting on a 40 cm3 piece of marble half submerged in water?

To find the magnitude of the Archimedean force acting on the specified piece of marble, it is necessary to use the formula: Fa = ρw * g * Vlim.

Data: ρw is the density of the water in which the specified piece of marble is located (let us assume ρw = 100 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); Vlim – the volume of the submerged part (Vlim = 0.5V (volume of a piece of marble) = 0.5 * 40 cm3 = 2 * 10-5 m3).

Let’s perform the calculation: Fa = ρw * g * Vlim = 1000 * 10 * 2 * 10-5 = 0.2 N.

Answer: The Archimedean force acting on the indicated piece of marble is 0.2 N.