A thin, circular, 0.860-kg disk of wood has a radius of 20.0 cm and floats on top of a cylindrical tank of antifreeze that has a depth of 80.0 cm and a diameter of 40.0 cm. (a) What is the pressure at the bottom of the cylinder? (b) If a 1.25-lb weight is now placed on top of the wooden disk, what is the pressure at the bottom of the cylinder?

(a) A rectangular, fully enclosed tank 2.4m long, 1.4m wide and 0.8m high is constructed of sheet metal weighing 443.6 kg-f (force). The tank floats in sea water of density 1025kg/m³ with its 0.8m sides vertical. If the centre of gravity is at the geometric centre of the vessel, calculate the metacentric height and comment on the stability of the tank. (b) A hydrometer is an instrument used for measuring the relative density of liquids based on the concept of buoyancy. A particular hydrometer is 80 cm in length. When placed in pure water, 50cm of the hydrometer is submerged and it reads 1.000 as shown in Figure 1. i) Calculate the density of the hydrometer? ii) When placed in Alcohol, 65 cm of the hydrometer is submerged beneath the alcohol. Calculate the density of alcohol? iii) Determine the reading of the hydrometer when it is in the alcohol? iy What will happen when this hydrometer place in Pentane (p-625 kgm): Fluid surface 1.00 Hydrometer- 80 cm 50cm Figure 1: A hydrometer

It is estimated that 90 percent of an iceberg’s volume is below the surface, while only 10 percent is visible above the surface. For seawater with a density of 1025 kg/m3, estimate the density of the iceberg

A block of wood has a mass of 3.90 kg and a density of 548 kg/m³. It is to be loaded with lead (1.13 × 104 kg/m³) so that it will float in water with 0.881 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number Units (b) Number i Units > >