A wooden cube measuring 20.0 cm on each side floats in water with a certain percentage of
Question:
A wooden cube measuring 20.0 cm on each side floats in water with a certain percentage of its volume submerged. A small metal cube is suspended by a string below the wooden cube. The metal cube measures 10.0 cm on each side. Take the density of water to be 1000 kg/m3 and use g = 9.80 m/s2.
A note about specific gravity - when we say something has a specific gravity of X, we means its density is X times that of water. For instance, aluminum has a specific gravity of 2.7, so aluminum has a density 2.7 times that of water.
Part A: In the situation described above, the wooden cube is 70.0% submerged, and the metal cube has a specific gravity of 5.10 . Determine the density of the wooden cube.
_______ kg/m3
Part B:Determine the tension in the string connecting the two cubes.
_______ N
Part C: The pair of cubes is now placed in a different liquid. When the cubes are at equilibrium in this new liquid, the buoyant force acting on the wooden cube is exactly the same as the buoyant force acting on the metal cube. What is the density of this new liquid?
_______ kg/m3