Solve the given problems:
Problem 1: How does the magnitude of the buoyant force acting on the floating object compare to the weight of the object, and to the weight of the water displaced by the floating object?
Problem 2: What conditions, in terms of forces, are required for an object to float? What conditions, in terms of the densities of the object and the fluid, are required for the object to float?
Problem 3: What is the condition for such a stack having neutral buoyancy, in terms of masses (mH and mL) and volumes (VH and VL) of the blocks and the density ?w of the water? How did you express the condition mathematically?
Please show all work and clearly explain.