Buoyancy And Floatation

We use Newton's second law of motion: Where: - (net force is the applied force minus the friction force) - (mass of the block) - (acceleration) Using the equation: Thus, the friction force is .

The loss in weight in water is the buoyant force due to the displacement of water, and the loss in weight in the unknown liquid is the buoyant force due to the displacement of the unknown liquid. Let be the density of the unknown liquid. We know: The volume of the body is the same in both liquids, so using Archimedes' principle: Substitute the values: Thus, the density of the unknown liquid is .