EXERCISE 9 Solid And Fluid
EXERCISE 9 - Mechanical properties of solid and fluid mechanics
1. A stainless-steel wire of length 3.1 cm and a diameter of 0.22 mm. If it is stretched by 0.10 mm, find the tension of the wire. The Young’s modulus for stainless steel is 18 × 1010 Pa. 22 N
2. Determine the elongation of the rod i Figure 1 if it is under a tension of 5.8 × 103 N.
Young’s Modulus: Copper, 11.0 x 1010 Nm-2, Aluminium 7.0 x 1010 Nm-2 1.9 cm
3. Air is trapped above liquid ethyl alcohol in a rigid container, as shown in Figure 2. If the air pressure above the liquid is 1.10 atm, determine the pressure inside a bubble 4.0 m below the surface of the liquid. Density of alcohol = 806 kg m-3 1.4 atm Figure 1 Figure 2 4. Blaise Pascal duplicated Torricelli’s barometer using a liquid of density 984 kg/m3 as the working liquid (Fig. 3). What was the height h of the liquid column for normal atmospheric pressure? 10.5 m
5. A frog in a hemispherical pod finds that he just floats without sinking in a fluid of density 1.35 g/cm3. If the pod has a radius of 6.00 cm and negligible mass, what is the mass of the frog? 0.61 kg
Figure 3 Figure 4
6. The density of ice is 920 kg/m3, and that of sea water is 1 030 kg/m3. What fraction of the total volume of an iceberg is exposed? 10.7 %
7 A 10.0-kg block of metal is suspended from a scale and immersed in water, as in Fig 5. The dimensions of the block are 12.0 cm × 10.0 cm × 10.0 cm. The 12.0-cm dimension is vertical, and the top of the block is 5.00 cm below the surface of the water. (a) What are the forces exerted by the water on the top and bottom of the block? (Take P0 = 1.013 0 × 105 N/m2.) (b) What is the reading of the spring scale? (c) Show that the buoyant force equals the difference between the forces at the top and bottom of the block. 1018N, 1030 N, 86 N, 11.8 N
Figure 5 Figure 6
8 An object weighing 300 N in air is
1. A stainless-steel wire of length 3.1 cm and a diameter of 0.22 mm. If it is stretched by 0.10 mm, find the tension of the wire. The Young’s modulus for stainless steel is 18 × 1010 Pa. 22 N
2. Determine the elongation of the rod i Figure 1 if it is under a tension of 5.8 × 103 N.
Young’s Modulus: Copper, 11.0 x 1010 Nm-2, Aluminium 7.0 x 1010 Nm-2 1.9 cm
3. Air is trapped above liquid ethyl alcohol in a rigid container, as shown in Figure 2. If the air pressure above the liquid is 1.10 atm, determine the pressure inside a bubble 4.0 m below the surface of the liquid. Density of alcohol = 806 kg m-3 1.4 atm Figure 1 Figure 2 4. Blaise Pascal duplicated Torricelli’s barometer using a liquid of density 984 kg/m3 as the working liquid (Fig. 3). What was the height h of the liquid column for normal atmospheric pressure? 10.5 m
5. A frog in a hemispherical pod finds that he just floats without sinking in a fluid of density 1.35 g/cm3. If the pod has a radius of 6.00 cm and negligible mass, what is the mass of the frog? 0.61 kg
Figure 3 Figure 4
6. The density of ice is 920 kg/m3, and that of sea water is 1 030 kg/m3. What fraction of the total volume of an iceberg is exposed? 10.7 %
7 A 10.0-kg block of metal is suspended from a scale and immersed in water, as in Fig 5. The dimensions of the block are 12.0 cm × 10.0 cm × 10.0 cm. The 12.0-cm dimension is vertical, and the top of the block is 5.00 cm below the surface of the water. (a) What are the forces exerted by the water on the top and bottom of the block? (Take P0 = 1.013 0 × 105 N/m2.) (b) What is the reading of the spring scale? (c) Show that the buoyant force equals the difference between the forces at the top and bottom of the block. 1018N, 1030 N, 86 N, 11.8 N
Figure 5 Figure 6
8 An object weighing 300 N in air is