Bouyancy is the upward force exerted by a fluid on an object that is partially or fully submerged in it. This force is equal to the weight of the fluid that the object displaces, according to Archimedes' principle.
The bouyant force on a cube floating between water and oil is determined by the difference in densities between the two fluids. This results in a net downward force on the cube, making it float at a lower level than it would in just water. The bouyant force in this scenario is also affected by the relative heights of the two fluids.
The magnitude of the bouyant force is influenced by the densities of the two fluids, the relative heights of the fluids, and the size and shape of the object. The greater the difference in densities between the two fluids, the greater the bouyant force will be. The relative heights of the fluids also affect the bouyant force, with the cube experiencing a greater force if the water is at a higher level than the oil. Additionally, the size and shape of the cube will impact the bouyant force, with larger and more streamlined objects experiencing a greater force.
The bouyant force can be calculated by multiplying the density of the fluid by the volume of fluid displaced by the object. In the case of a cube floating between water and oil, this would involve calculating the volume of the cube submerged in each fluid separately and then taking the difference between the two.
If the cube is compressed while floating, the volume of fluid it displaces will decrease, resulting in a decrease in the bouyant force. Conversely, if the cube is stretched while floating, the volume of fluid it displaces will increase, resulting in an increase in the bouyant force. This can affect the equilibrium of the cube and cause it to sink or rise in the fluid.