Question

A cylindrical metal rod with a density of 8,000 kg/m³ and a volume of 0.1 m³ is placed in water. The density of water is 1,000 kg/m³. The rod is partially submerged in water.

A solid cube of wood with a density of 700 kg/m³ and a volume of 0.5 m³ is placed in water. Will the cube float or sink, and why?

A block of metal is submerged in water and experiences an upthrust of 10 N. If the density of the metal is 8000 kg/m³ and the volume of the block is 0.001 m³, calculate the buoyant force acting on the block.

The volume of a 500 g sealed packet is 350 cm³. Will the packet float or sink in a saturated salt solution, if the density of the solution is 1.2 g cm⁻³? What will be the mass of the solution displaced by this packet?