Find the Archimedean force that will act on a 1 mx 0.5 mx 0.1 m marble slab submerged in water.

An Archimedean force will act on a plate immersed in water, which will be equal to the weight of the displaced liquid. Let us write down the formula: Fа = ρ * g * V, ρ is the density of matter, g is the acceleration of gravity, rounded: g = 10 m / s², V is the total volume of the body. The slab has the shape of a parallelepiped, that is, the volume is: V = a * b * h. We transform: buoyancy force: Fa = ρ * g * V = ρ * g * a * b * h Substitute the numbers and calculate. Let me clarify: since you need to find the Archimedean force, you need to take the density of water, not marble. Fa = ρ * g * a * b * h = 1000 * 9.8 * 1 * 0.5 * 0.1 = 500 (N).