As shown in the figure below, a wooden cube measuring 20.0 cm oneach side floats in water with 80.0% of its volume submerged.Suspended by a string below the wooden cube is a metal cube. Themetal cube measures 10.0 cm on each side and has a specific gravityof 6.00. This means that the density of the cube is 6.00 timeslarger than that of water, which we take to be 1000 kg/m3.
(a) Which cube has a larger buoyant force acting on it?
i. the wooden cube
ii. the metal cube
iii. the buoyant forces are equal for both
(b) Taking the density of water to be 1000 kg/m3,what is the density of the wooden cube? (kg/m3)
(c) What is the tension in the string between the cubes? Assumethe string itself has negligible mass and volume. Use g =9.8 m/s2. (N)
(d) The pair of blocks is now placed in a different liquid. Whenthe blocks are at equilibrium in this new liquid, the buoyant forceacting on the wooden cube is exactly the same as the buoyant forceacting on the metal cube. What is the density of this new liquid?(kg/m3)
