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katovenus [111]
3 years ago
9

What is the average density of a neutron star that has the same mass as the sun but a radius of only 20.0 km?

Physics
1 answer:
IrinaK [193]3 years ago
4 0

Answer: 5.935(10)^{13}g/cm^{3}}

Explanation:

Density is a characteristic property bodies and materials, and is defined as the relationship between the mass m and the volume V, as shown below:

D=\frac{m}{V}  (1)

In the case of the neutron star, we know it has the same mass as the Sun:

m=1.989(10)^{30}kg

And its radius is r=20km

On the other hand, if we assume this neutron star has a spherical shape, its volume  can be calculated by the following formula:

V=V_{sphere}=\frac{4}{3}\pir^{3}   (2)

V=\frac{4}{3}\pi(20km)^{3}   (3)

V=33510.321km^{3}   (4)

Substituting (4) in (1):

D=\frac{1.989(10)^{30}kg}{33510.321km^{3}}  (5)

Finally:

D=5.935(10)^{25}kg/km^{3}}=5.935(10)^{13}g/cm^{3}}  

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