Question

Q14

An ice cube is floating in a glass of water. After it has melted, has the water line in the glass increased, decreased or stayed the same? Explain. The typical diameter of the aorta is 0.005 m and that of a capillary is 10^-5 m. The average blood speed is 1.0 m/s in the aorta and 0.01 m/s in the capillaries. Assuming that all the blood that flows through the aorta must flow through the capillaries (in other words, the person is not bleeding internally), determine the number of capillaries. Water exits a circular pipe with a radius of 0.25 m at a speed of 2 m/s. How long will it take to fill a cubical tank which is 1.5 m on a side? Water (rho = 1000 kg/m^3) flows through a pipe as shown (above middle). The pipe area is 1 m^2 at the top and 3 m^2 at the bottom. The speed of the water is 0.6 m/s at the top and the water pressure is 2 times 10^5 Pa at the top. Determine the speed of the water and the water pressure at the bottom. Use y = 10m. The pipe eventually empties into a lake. What mass of water enters the lake in 60 s?

Answer 1

11.

water level remain the same

the water added due to melting of ice takes up the volume of water that it displaced before melting. hence when ice melts, the water level remain the same .

13

A = Area = $\pi$ r² = (3.14) (0.25)² = 0.19625

V = speed = 2 m/s

Volume = 1.5 x 1.5 x 1.5 = 3.375

t = time

using the formula

Volume = Avt

3.375 = 0.19625 x 2 t

t = 8.6 sec