Please explain with formulas and free body diagrams, everything helps! Acquired

Question

Please explain with formulas and free body diagrams, everything helps! Acquired densities from engineering toolbox. If a cube having a 5 cm side is submerged in water, what is the mass of water this cube is displacing? (Density of water: 1,000 kg/m^3) An aluminum cube (density of aluminum: 2,700 kg/m^3) with a side of 5 cm is fully submerged in water then let go, will it float? Show why. A pine wood (density of pine (Scots) wood: 0.5110^3 kg/m^3) with a side of 5 cm is fully submerged in water then let go, will it float? Show why.

Explanation / Answer

A) mass of displaced water = m = density (rho)*V = 1000*5*5*5*10^-6 = 0.125 kg

B) since the density of aluminium cube is greater than density of water ,then it will not float ,it will sinks

C) Since the density of pine wood is less than density of water ,it will float

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