Chapter 10: Q20P (page 260)
(II) Determine the minimum gauge pressure needed in the water pipe leading into a building if water is to come out of a faucet on the fourteenth floor, 44 m above that pipe.
The minimum gauge pressure is 0.43 x 106 Pa.
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A gardener feels it is taking too long to water a garden with a \(\frac{{\bf{3}}}{{\bf{8}}}\;{\bf{in}}\) diameter hose. By what factor will the time be cut using a \(\frac{{\bf{5}}}{{\bf{8}}}\;{\bf{in}}\) diameter hose instead? Assume nothing else is changed.
Question: A simple model (Fig. 10–56) considers a continent as a block (density\( \approx {\bf{2800}}\;{\bf{kg/}}{{\bf{m}}^{\bf{3}}}\)) floating in the mantle rock around it (density\( \approx {\bf{3300}}\;{\bf{kg/}}{{\bf{m}}^{\bf{3}}}\)). Assuming the continent is 35 km thick (the average thickness of the Earth’s continental crust), estimate the height of the continent above the surrounding mantle rock.
Figure 10-56
Question: A hydraulic lift is used to jack a 960-kg car 42 cm off the floor. The diameter of the output piston is 18 cm, and the input force is 380 N. (a) What is the area of the input piston? (b) What is the work done in lifting the car 42 cm? (c) If the input piston moves 13 cm in each stroke, how high does the car move up for each stroke? (d) How many strokes are required to jack the car up 42 cm? (e) Show that energy is conserved.
(II) A physician judges the health of a heart by measuring the pressure with which it pumps blood. If the physician mistakenly attaches the pressurized cuff around a standing patient’s calf (about 1 m below the heart) instead of the arm (Fig. 10–42), what error (in Pa) would be introduced in the heart’s blood pressure measurement?
A small amount of water is boiled in a 1-gallon metal can. The can is removed from the heat and the lid is put on. As the can cool, it collapses and looks crushed. Explain.
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