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universe tcal) Justina peterson 1 PM EDT White Dwarf Size IT. The white dwarf, S

ID: 289774 • Letter: U

Question

universe tcal) Justina peterson 1 PM EDT White Dwarf Size IT. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 x 10° g/cm. Find the radius of the white dwarf in km to three significant digits. (Hint: Density-mass/volume, and the volume of a sphere is Compare your answer with the radi of the planets listed in the Table A-10. Which planet is this white dwarf is dlosely equal to in size? Table A-10 Properties of the Planets ORBITAL PROPERTIES Semimajor Axis () (AU) 0.387 0.723 1.00 1.52 5.20 9.58 19.23 30.10 Orbital Period(P) Average Orbital Velocity (kns)Eccentricityto Ediptic lanet (10 km) (days) orbital Inctination Mercury 57.9 0241 0.615 1.00 88.0 224.7 65.3 687.0 332 47.9 108 150 228 779 1433 29.8 24.3 13.1 9.7 0.007 0.017 0.093 upiter 11.9 29.5 84.3 10,759 30,799 60,190 164.8 ts (55 96 Autosaved at 4 05 PM

Explanation / Answer

a) density x volume = mass

or, 2 x 103 kg/m3 x 4/3 x 3.14 x r3  = 0.98 x 1.989 x 1030 kg

or, r3 = 0.233 x 1027 m3

or, r = 0.61834 x109 m = 6.1834 x 105km

b) This is closer to the equitorial radius of saturn.