Astronomy) (Part A) White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 × 106 g/cm3. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass⁄volume, and the volume of a sphere is 4/3πr3). (Part B) Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?

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(Astronomy)

(Part A) White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 × 106 g/cm3. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass⁄volume, and the volume of a sphere is 4/3πr3).

(Part B) Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?

I Table A-10 I Properties of the Planets
ORBITAL PROPERTIES
Semimajor Axis (a)
Orbital Period (P)
Average Orbital
Velocity (km/s)
Orbital
Inclination
Planet
(AU)
(10° km)
(y)
(days)
Eccentricity
to Ecliptic
Mercury
0.387
57.9
0.241
88.0
47.9
0.206
7.0°
Venus
0.723
108
0.615
224.7
35.0
0.007
3.4°
Earth
1.00
150
1.00
365.3
29.8
0.017
0*
Mars
1.52
228
1.88
687.0
24.1
0.093
1.80
Jupiter
5.20
779
11.9
4332
13.1
0.049
1.30
Saturn
9.58
1433
29.5
10,759
9.7
0.056
2.5°
Uranus
19.23
2877
84.3
30,799
6.8
0.044
0.8°
30.10
60,190
0.011
Neptune
* By definition.
4503
164.8
5.4
1.8°
PHYSICAL PROPERTIES (Earth = Đ)
Average
Density
(g/cm?)
Escape
Velocity
(km/s)
Surface
Sidereal
Period of
Rotation
Inclination
Equatorial Radius
Gravity
( = 1)
Mass
of Equator
to Orbit
Planet
(km)
(O = 1)
(O = 1)
Mercury
2440
0.383
0.055
5.43
0.38
4.2
58.6d
0.0°
Venus
6052
0.950
0.815
5.20
0.90
10.5
243.0d
177.3°
Earth
6378
1.00
1.000
5.52
1.00
11.2
23.93h
23.4°
Mars
3396
0.533
0.107
3.93
0.38
5.0
24.62h
25.2°
Jupiter
71,492
11.21
318
1.33
2.53
59.5
9.92h
3.1°
Saturn
60,268
9.45
95.2
0.69
1.06
35.5
10.57h
26.7°
Uranus
25,559
4.01
14.5
1.27
0.89
21.3
17.24h
97.8°
Neptune
24,764
3.88
17.1
1.64
1.14
23.5
16.11h
28.3°
Transcribed Image Text:I Table A-10 I Properties of the Planets ORBITAL PROPERTIES Semimajor Axis (a) Orbital Period (P) Average Orbital Velocity (km/s) Orbital Inclination Planet (AU) (10° km) (y) (days) Eccentricity to Ecliptic Mercury 0.387 57.9 0.241 88.0 47.9 0.206 7.0° Venus 0.723 108 0.615 224.7 35.0 0.007 3.4° Earth 1.00 150 1.00 365.3 29.8 0.017 0* Mars 1.52 228 1.88 687.0 24.1 0.093 1.80 Jupiter 5.20 779 11.9 4332 13.1 0.049 1.30 Saturn 9.58 1433 29.5 10,759 9.7 0.056 2.5° Uranus 19.23 2877 84.3 30,799 6.8 0.044 0.8° 30.10 60,190 0.011 Neptune * By definition. 4503 164.8 5.4 1.8° PHYSICAL PROPERTIES (Earth = Đ) Average Density (g/cm?) Escape Velocity (km/s) Surface Sidereal Period of Rotation Inclination Equatorial Radius Gravity ( = 1) Mass of Equator to Orbit Planet (km) (O = 1) (O = 1) Mercury 2440 0.383 0.055 5.43 0.38 4.2 58.6d 0.0° Venus 6052 0.950 0.815 5.20 0.90 10.5 243.0d 177.3° Earth 6378 1.00 1.000 5.52 1.00 11.2 23.93h 23.4° Mars 3396 0.533 0.107 3.93 0.38 5.0 24.62h 25.2° Jupiter 71,492 11.21 318 1.33 2.53 59.5 9.92h 3.1° Saturn 60,268 9.45 95.2 0.69 1.06 35.5 10.57h 26.7° Uranus 25,559 4.01 14.5 1.27 0.89 21.3 17.24h 97.8° Neptune 24,764 3.88 17.1 1.64 1.14 23.5 16.11h 28.3°
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