25. A white dwarf is a type of remnant star that will have about the same mass as the star did, but its radius will be much smaller. A certain 30 white dwarf has a mass of 8 x 10 kg and a radius of about 6300 km. a. Calculate the average density of the white dwarf in units of kilograms per cubic centimeter. b. What is the mass of a teaspoon of a material from a white dwarf? (A teaspoon is about 4 cubic centimeters.) Compare this to the mass of something familiar. c. A neutron star is a type of stellar remnant compressed to even greater densities than a white dwarf. Suppose that a neutron star has a mass 1.7 times greater than the mass of the white dwarf, but has a radius of only 13 kilometers. What is its density? Compare the mass 10 of 1 cubic centimeter of a neutron star to the total mass of Mount Everest (about 5 x 10 kg). a. Calculate the density of the white dwarf using the formulas shown below. D ==, where D is density, m is mass, and v is volume v=r³, where v is the volume of a sphere and r is the radius of the white dwarf The average density of the white dwarf is about (Round to the nearest whole number as needed.) b. The mass of a teaspoon of white dwarf material is about (Round to the nearest whole number as needed.) kilograms per cubic centimeter. kilograms. The mass of a teaspoon of white dwarf material is most comparable to the mass of (1). c. Calculate the density of the neutron star using the formulas shown below. D == where D is density, m is mass, and v is volume
25. A white dwarf is a type of remnant star that will have about the same mass as the star did, but its radius will be much smaller. A certain 30 white dwarf has a mass of 8 x 10 kg and a radius of about 6300 km. a. Calculate the average density of the white dwarf in units of kilograms per cubic centimeter. b. What is the mass of a teaspoon of a material from a white dwarf? (A teaspoon is about 4 cubic centimeters.) Compare this to the mass of something familiar. c. A neutron star is a type of stellar remnant compressed to even greater densities than a white dwarf. Suppose that a neutron star has a mass 1.7 times greater than the mass of the white dwarf, but has a radius of only 13 kilometers. What is its density? Compare the mass 10 of 1 cubic centimeter of a neutron star to the total mass of Mount Everest (about 5 x 10 kg). a. Calculate the density of the white dwarf using the formulas shown below. D ==, where D is density, m is mass, and v is volume v=r³, where v is the volume of a sphere and r is the radius of the white dwarf The average density of the white dwarf is about (Round to the nearest whole number as needed.) b. The mass of a teaspoon of white dwarf material is about (Round to the nearest whole number as needed.) kilograms per cubic centimeter. kilograms. The mass of a teaspoon of white dwarf material is most comparable to the mass of (1). c. Calculate the density of the neutron star using the formulas shown below. D == where D is density, m is mass, and v is volume
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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