A wooden block is suspended in a tank of fresh water using a string fixed to the bottom of the tank. The tension in the string is 805 N and the block has a volume of 0.425 m³. Determine the buoyant force experienced by the block from the water and the block's mass.

A solid cylinder of diameter 10 cm and height 25 cm is placed into the container. Oil of density 850 kg/m³ and water are placed in a container. The cylinder floats at the boundary of the two liquids with 8.0 cm of its length in water. Determine the mass and density of the cylinder.

An impure metal block has a weight of 50.4 N in air. When the block is fully submerged in oil with a density of 820 kg/m³, the string tension required to keep it suspended in the oil is 33.0 N. Determine the volume and density of the block. 

A cube-shaped floating object is made of lightweight material with a density of 120 kg/m³ and a side length of 38 cm. Determine the maximum mass that can be suspended from this cubic object in water without causing it to sink. Consider that the volume of the suspended mass is negligible compared to the cube's volume.

A specially designed underwater toy has an average density of 1210 kg/m³, which causes it to sink in water. To prevent sinking, the toy has a built-in inflatable chamber that fills with air. When inflated, the chamber contains air at a density of 1.18 kg/m³ at 25°C. What percentage should the toy's volume increase by to achieve neutral buoyancy in water?

A cylindrical copper object occupying a volume of 68cm³ is suspended from a cord, as illustrated in the figure. The object is submerged in a fluid (petrol) with a density of 730 kg/m³. Determine the tension in the cord.

In an interactive science exhibit, an aquarium contains a liquid with a density of ρ. To maintain the position of the front glass panel and avoid leakage, a spring is fastened to the panel. The spring's tension keeps the panel securely closed and counteracts torque forces that could potentially dislodge the panel. What is the minimum spring tension necessary to ensure that the panel remains in place without causing any leakage?