(a) Calculate the mass flow rate (in grams per second) of blood (ρ = 1.0 g/cm3 ) in an aorta with a crosssectional area of 2.0 cm2 if the flow speed is 40 cm/s. (b) Assume that the aorta branches to form a large number of capillaries with a combined cross-sectional area of 3.0 × 103 cm2. What is the flow speed in the capillaries?

Need Help: It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3. Given Tip: How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical object related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the cube.

A reservoir of water has the surface at 310 m above the outlet nozzle of a pipe with diameter 15 mm. Applying Torricelli's theorem, what is : (a) the velocity of efflux (b) the discharge out of the nozzle, in metre'/second.

The aortic vein carries blood (ρ = 1.0 g / cm^3 ) across a transverse area of ​​2.0 cm^2 , with a speed of 0.40 m / s. Assuming that the branches of the aortic vein form a large number of capillaries with a total cross-sectional area of ​​3.0 x 103 cm^2 , determine the speed of blood flow in the capillaries.