Chapter 10: Q1P (page 260)
(I) The approximate volume of the granite monolith known as El Capitan in Yosemite National Park (Fig.10–47) is about 108M3. What is its approximate mass?
The mass of the granite monolith is 2.7 × 1011 Kg.
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What diameter must a \({\bf{15}}{\bf{.5}}\;{\bf{m}}\)-long air duct have if the ventilation and heating system is to replenish the air in a \({\bf{8}}{\bf{.0}}\;{\bf{m \times 14}}{\bf{.0}}\;{\bf{m \times 4}}{\bf{.0}}\;{\bf{m}}\) room every \({\bf{15}}{\bf{.0}}\;{\bf{min}}\)? Assume the pump can exert a gauge pressure of \({\bf{0}}{\bf{.710 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{atm}}\).
(I) What is the difference in blood pressure (mm-Hg) between the top of the head and bottom of the feet of a 1.75-m-tall person standing vertically?
One arm of a U-shaped tube (open at both ends) contains water, and the other alcohol. If the two fluids meet at exactly the bottom of the U, and the alcohol is at a height of 16.0 cm, at what height will the water be?
(II) The surface tension of a liquid can be determined by measuring the force \(F\) needed to just lift a circular platinum ring of radius \(r\) from the surface of the liquid. (a) Find a formula for \(\gamma \) in terms of \(F\) and \(r\). (b) At \(30^\circ C\), if \(F = 6.20 \times {10^{ - 3}}\;{\rm{N}}\) and \(r = 2.9\;{\rm{cm}}\), calculate \(\gamma \) for the tested liquid.
(II) A bottle has a mass of 35.00 g when empty and 98.44 g when filled with water. When filled with another fluid, the mass is 89.22 g. What is the specific gravity of this other fluid?
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