The mass of the Sun is 329,390 Earth masses and the mean distance from the cente
ID: 1789784 • Letter: T
Question
The mass of the Sun is 329,390 Earth masses and the mean distance from the center of the Sun to the center of the Earth is 1.496x10^8 km. Treating the Earth and the Sun as particles, with each mass concentrated at the respective geometric center, how far from the center of the Sun is he center of mass of the Earth-Sun system?Compare this distance with the mean radius of the Sun (6.960x10^5 km).
Thank you very much :) The mass of the Sun is 329,390 Earth masses and the mean distance from the center of the Sun to the center of the Earth is 1.496x10^8 km. Treating the Earth and the Sun as particles, with each mass concentrated at the respective geometric center, how far from the center of the Sun is he center of mass of the Earth-Sun system?
Compare this distance with the mean radius of the Sun (6.960x10^5 km).
Thank you very much :)
Compare this distance with the mean radius of the Sun (6.960x10^5 km).
Thank you very much :)
Explanation / Answer
Mass of the earth = m1 = m
mass of the sun =m2 = 329390 m
position of the sun =x1 =0
position of earth = x2 = 1.496 x 108 km
position of the CM from the sun = m1x1 +m2x2/(m1 + m2)
= 0 + 329390 x m x 1.496 x 108 /( m + 329390m)
= 1.49599 x 108 km
this distance can be compared with the mean radius of the sun = 1.49599 x 108 km / 6.960 x 105 km)
= 214.941
all the best in the course work
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