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 idealRopeFigure 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 hasan 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 inOpenstaxc) 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 thesphere 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 remainsbelow the surface? 5/28/202114.1 Fluids, Density, and Pressure - University Physics Volume 1 | OpenStaxSolidsLiquidsGases(0.0°C)(0.0°C)(0.0°C, 101.3 kPa)P(kg/m³)P(kg/m³)P(kg/m³)SubstanceSubstanceSubstanceAluminum2.70 x 103Benzene8.79 x 102Air1.29 x 10°Bone1.90 × 103Blood1.05 × 103Carbon dioxide1.98 x 10°Brass8.44 x 103Ethyl8.06 x 102Carbon1.25 x 10°alcoholmonoxideConcrete2.40 x 103Gasoline6.80 x 10?Helium1.80 x 10-1-2Copper8.92 x 103Glycerin1.26 x 103Hydrogen9.00 x 10-2Cork2.40 x 102Mercury1.36 x 104Methane7.20 x 10Earth's3.30 x 103Olive oil9.20 x 102Nitrogen1.25 x 10°crustGlass2.60 x 103Nitrous oxide1.98 x 10°Gold1.93 × 104Охудen1.43 x 10°Granite2.70 × 103Iron7.86 x 103Lead1.13 x 104Oak7.10 × 10²Pine3.73 x 102Platinum2.14 × 104Polystyrene1.00 x 102Tungsten1.93 × 104Uranium1.87 x 103Table 14.1 Densities of Some Common SubstancesAs you can see by examining Table 14.1, the density of an object may help identify its composition. Thedensity of gold, for example, is about 2.5 times the density of iron, which is about 2.5 times the density ofaluminum. Density also reveals something about the phase of the matter and its substructure. Notice thatthe densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are inclose contact. The densities of gases are much less than those of liquids and solids, because the atoms ingases are separated by large amounts of empty space. The gases are displayed for a standard temperatureof 0.0°C and a standard pressure of 101.3 kPa, and there is a strong dependence of the densities onhttps://openstax.org/books/university-physics-volume-1/pages/14-1-fluids-density-and-pressure#fs-id11709586494314/15

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Question

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?

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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