Problem 3 scale of the solar system the real diameters of the sun and earth are approximately 1.4 million kilometers and 12,800 kilometers, respectively. the earth-sun distance is approximately 150 million kilometers. calculate the sizes of earth and the sun, and the distances between them in a scale model that is one 10-billionth the size of the actual solar system. show your work clearly.

Explanation:

Let the diameter of the Sun in the model  be = x

Scale used in the model =

The real diameters of the Sun ,D= 1.4 million kilometers =

The diameter of the sun in the model is 14 cm.

The real diameters of the Earth,d = 12,800 km

Let the diameter of the Earth in the model  be = y

Scale used in the model =

The diameter of the Earth in the model is 0.128 cm.

The Earth-Sun distance ,l =

Let the Earth-Sun distance in the model  be = z

The distances between Earth-Sun in the model is 1500 cm.