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1.49 White Dwarfs and Neutron Stars. Recall that density is mass divided by volu

ID: 1573393 • Letter: 1

Question

1.49 White Dwarfs and Neutron Stars. Recall that density is mass divided by volume, and consult Appendix B as needed. (a) Calculate the average density of the earth in g/cm3, assuming our planet is a perfect sphere. (b) In about 5 billion years, at the end of its lifetime, our sun will end up as a white dwarf that about the same mass as it does now but is reduced to about 15,000 km in diameter. What will be its density at that stage? (c) A neutron star is the remnant of certain supernovae (explosions of giant stars). Typically, neutron stars are about 20 km in diame- ter and have about the same mass as our sun. What is a typical neutron star density in g/cm3?

Explanation / Answer

1.49)
a) density of the Earth = Me/Ve

= Me/(4/3*pi*Re^3)

= 5.98*10^24/(4/3*pi*(6370*10^3)^3)

= 5523 kg/m^3

b) density of the Sun = Ms/Vs

= Ms/(4/3*pi*Rs^3)

= 1.99*10^30/(4/3*pi*(7500*10^3)^3)

= 1.126*10^9 kg/m^3

c) density of A netron star = Mn/Vn

= Mn/(4/3*pi*Rn^3)

= 1.99*10^30/(4/3*pi*(10*10^3)^3)

= 4.75*10^17 kg/m^3


1.57) It depends on our mass.

no of atoms present = mass of our body/ mass of single atom

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