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A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal

A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Thermodynamics question. please help

(2nd Attachment is the table question B is referring to)

 

A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal Rope Figure 1: Hallow sphere in liquid attached to the bottom of a tank. rope such that its top is at a depth of d = 27.50m below the surface as shown in Figure 1. The sphere has an outer radius of r. = 46.83cm, and an inner radius of r; = 41.47cm. a) Draw a free body diagram for the sphere. b) What material is the sphere made of. Note: use the Table 13.1 in Giancoli or Table 14.1 in Openstax c) What is the tension in the rope? | d) The rope is cut and the sphere is allowed to float. What is the magnitude of the acceleration of the sphere as it floats to the surface? e) The rope is cut and the sphere is allowed to float to the surface. How much of the sphere remains below the surface?
Transcribed Image Text:A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal Rope Figure 1: Hallow sphere in liquid attached to the bottom of a tank. rope such that its top is at a depth of d = 27.50m below the surface as shown in Figure 1. The sphere has an outer radius of r. = 46.83cm, and an inner radius of r; = 41.47cm. a) Draw a free body diagram for the sphere. b) What material is the sphere made of. Note: use the Table 13.1 in Giancoli or Table 14.1 in Openstax c) What is the tension in the rope? | d) The rope is cut and the sphere is allowed to float. What is the magnitude of the acceleration of the sphere as it floats to the surface? e) The rope is cut and the sphere is allowed to float to the surface. How much of the sphere remains below the surface?
5/28/2021 14.1 Fluids, Density, and Pressure - University Physics Volume 1 | OpenStax Solids Liquids Gases (0.0°C) (0.0°C) (0.0°C, 101.3 kPa) P(kg/m³) P(kg/m³) P(kg/m³) Substance Substance Substance Aluminum 2.70 x 103 Benzene 8.79 x 102 Air 1.29 x 10° Bone 1.90 × 103 Blood 1.05 × 103 Carbon dioxide 1.98 x 10° Brass 8.44 x 103 Ethyl 8.06 x 102 Carbon 1.25 x 10° alcohol monoxide Concrete 2.40 x 103 Gasoline 6.80 x 10? Helium 1.80 x 10-1 -2 Copper 8.92 x 103 Glycerin 1.26 x 103 Hydrogen 9.00 x 10 -2 Cork 2.40 x 102 Mercury 1.36 x 104 Methane 7.20 x 10 Earth's 3.30 x 103 Olive oil 9.20 x 102 Nitrogen 1.25 x 10° crust Glass 2.60 x 103 Nitrous oxide 1.98 x 10° Gold 1.93 × 104 Охудen 1.43 x 10° Granite 2.70 × 103 Iron 7.86 x 103 Lead 1.13 x 104 Oak 7.10 × 10² Pine 3.73 x 102 Platinum 2.14 × 104 Polystyrene 1.00 x 102 Tungsten 1.93 × 104 Uranium 1.87 x 103 Table 14.1 Densities of Some Common Substances As you can see by examining Table 14.1, the density of an object may help identify its composition. The density of gold, for example, is about 2.5 times the density of iron, which is about 2.5 times the density of aluminum. Density also reveals something about the phase of the matter and its substructure. Notice that the densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. The densities of gases are much less than those of liquids and solids, because the atoms in gases are separated by large amounts of empty space. The gases are displayed for a standard temperature of 0.0°C and a standard pressure of 101.3 kPa, and there is a strong dependence of the densities on https://openstax.org/books/university-physics-volume-1/pages/14-1-fluids-density-and-pressure#fs-id1170958649431 4/15
Transcribed Image Text:5/28/2021 14.1 Fluids, Density, and Pressure - University Physics Volume 1 | OpenStax Solids Liquids Gases (0.0°C) (0.0°C) (0.0°C, 101.3 kPa) P(kg/m³) P(kg/m³) P(kg/m³) Substance Substance Substance Aluminum 2.70 x 103 Benzene 8.79 x 102 Air 1.29 x 10° Bone 1.90 × 103 Blood 1.05 × 103 Carbon dioxide 1.98 x 10° Brass 8.44 x 103 Ethyl 8.06 x 102 Carbon 1.25 x 10° alcohol monoxide Concrete 2.40 x 103 Gasoline 6.80 x 10? Helium 1.80 x 10-1 -2 Copper 8.92 x 103 Glycerin 1.26 x 103 Hydrogen 9.00 x 10 -2 Cork 2.40 x 102 Mercury 1.36 x 104 Methane 7.20 x 10 Earth's 3.30 x 103 Olive oil 9.20 x 102 Nitrogen 1.25 x 10° crust Glass 2.60 x 103 Nitrous oxide 1.98 x 10° Gold 1.93 × 104 Охудen 1.43 x 10° Granite 2.70 × 103 Iron 7.86 x 103 Lead 1.13 x 104 Oak 7.10 × 10² Pine 3.73 x 102 Platinum 2.14 × 104 Polystyrene 1.00 x 102 Tungsten 1.93 × 104 Uranium 1.87 x 103 Table 14.1 Densities of Some Common Substances As you can see by examining Table 14.1, the density of an object may help identify its composition. The density of gold, for example, is about 2.5 times the density of iron, which is about 2.5 times the density of aluminum. Density also reveals something about the phase of the matter and its substructure. Notice that the densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. The densities of gases are much less than those of liquids and solids, because the atoms in gases are separated by large amounts of empty space. The gases are displayed for a standard temperature of 0.0°C and a standard pressure of 101.3 kPa, and there is a strong dependence of the densities on https://openstax.org/books/university-physics-volume-1/pages/14-1-fluids-density-and-pressure#fs-id1170958649431 4/15
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