A cylinder of an unknown material weighs 15 N. When the cylinder is completely submerged in water, its weight becomes 10 N. (a) What is the magnitude of the buoyant force? (b) What is the volume of the cylinder? (c) What is the density of the material? (d) When the cylinder is placed in another liquid, the cylinder floats on top of the fluid with only have of the cylinder submerged. What is the density of the second liquid?

A table-tennis ball has a diameter of 3.80 cm and average density of 0.084 0 g/cm3. What force is required to hold it completely submerged under water?

What fraction of ice is submerged when it floats in freshwater, given the density of water 0°C is very close to 1000 kg/m3?

Figure P15.52 shows a Venturi meter, which may be used to measure the speed of a fluid. It consists of a Venturi tube through which the fluid moves and a manometer used to measure the pressure difference between regions 1 and 2. The fluid of density tube moves from left to right in the Venturi tube. Its speed in region 1 is v1, and its speed in region 2 is v2. The necks cross-sectional area is A2, and the cross-sectional area of the rest of the tube is A1. The manometer contains a fluid of density mano. a. Do you expect the fluid to be higher on the left side or the right side of the manometer? b. The speed v2 of the fluid in the neck comes from measuring the difference between the heights (yR yL) of the fluid on the two sides of manometer. Derive an expression for v2 in terms of (yR yL), A1, A2, tube, and mano. FIGURE P15.52