A vat contains a mixture of oil and water. The water forms a lower layer which is 0.8 m deep, and above it there is an oil layer 0.3 m thick.

What radius needle should be used to inject a volume of 497 cm3 of a solution into a patient in 32 min? Assume the length of the needle is 2.5 cm and that the solution is elevated 1.0 m above the point of injection. Further, assume the viscosity and density of the solution are those of pure water, and that the pressure inside the vein is atmospheric. (The density of water is 1.00 ✕ 103 kg/m3.) ?mm

What radius needle should be used to inject a volume of 497 cm3 of a solution into a patient in 27 min? Assume the length of the needle is 2.5 cm and that the solution is elevated 1.0 m above the point of injection. Further, assume the viscosity and density of the solution are those of pure water, and that the pressure inside the vein is atmospheric. (The density of water is 1.00 ✕ 103 kg/m3.)

Solid floats when density of the liquid is greater than the solid. A pound of butter form a block about6.5cm x 6.5cm x 12cm. Will the butter floats or sink in water? Prove your answer. Density of water is1.0 g/ml. What is the specific gravity of the butter?

A 7.20 kg rock whose density is 4900 kg/m3 is suspended by a string such that half of the rock's volume is underwater. What is the tension in the string?

A room in the lower level of a cruise ship has a 30-cm-diameter circular window. If the midpoint of the window is 4 m below the water surface, determine the hydrostatic force acting on the window, and the pressure center. Take the specific gravity of seawater to be 1.025.

A cubic block of steel that measures 12. cm on a side is suspended in a saltwater bath by a vertical string. The steel block is completely submerged, but it does not touch the bottom surface. The string applies just enough force to keep the block from sinking further. What force does the string apply to support the block? Density of steel: 8050 kg/m3 Density of saltwater: 1030 kg/m3

The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 6.29 m3. (a) What is the weight of the heaviest bear that the ice can support without sinking completely beneath the water? To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 5.42 × 103 kg/m3. (b) What fraction of the specimen’s apparent volume is solid?

What radius needle should be used to inject a volume of 500. cm3 of a solution into a patient in 30.0 min? Assume the length of the needle is 2.5 cm and the solution is elevated 1.0 m above the point of injection. Further, assume the viscosity and density of the solution are those of pure water, and that the pressure inside the vein is atmospheric.

A wooden raft has a mass of 50 kg. When empty it floats in water (density 1000 kg/m3) with 69% of its volume submerged. What mass of sand can be put on the raft without it sinking?