Physics Homework Help

A small, square plank of oak floats in a beaker half full of water. The piece of oak is 7.3 cm on a side and 3.7 cm thick and floats on its side as shown in the figure below. (a) Find the location of the plank’s center of mass with respect to the water’s surface. distance      mm     (b) A very light vegetable oil is poured slowly into the beaker so that the oil floats on the water without mixing and until the oak plank is a few centimeters below the surface of the oil. If the density of the oil is 660 kg/m 3 , what is the new position of the center of mass of the plank with respect to the water’s surface? distance      mm