mass of a sun-like star is 2.50 x 10^5 Earth masses and radius is 101.0 times that of Earth. density of Earth is 5,500 kg/m^3. What is the density of this star?
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To solve for this, the values for the mass and radius of earth is necessary.
Mass of the sun-like star:
`= Mass of the earth * 2.50x10^5`
`= 5.9736×10^24 kg *2.50x10^5`
`= 1.4934x10^30 kg`
Volume of the sun-like star:
Get the radius of the sun-like star first.
Radius = radius of the earth (mean radius) x 101.0
`Radius = 6,371,000 m * 101.0`
`Radius = 643,471,000 m`
`= 4/3 *pi*r^3`
`= 1.116x10^27 m^3`
`Density = (mass)/(volume)`
`Density = (1.4934x10^30 kg)/(1.116x10^27 m^3)`
Density = 1,338 `(kg)/(m^3)`
The desnity of the sun is 1.41 gm/cc. Density is found by dividing mass by volume.
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