this paragraph: In a scale model of the solar system, the sun is placed at the center and the planets are shown orbiting in circles around it. Mars is 1.5 AU away from the sun and in the model, it appears at 30 cm from it which means that 1 AU = 20 cm. Likewise, Neptune is 30 AU away from the sun.
What is the maximum possible distance that can be drawn between Mars and Neptune in the scale model? Hint: Two planets are as far apart as possible when they are on directly opposite sides of the sun from each other. Draw a picture with the planets as far apart as possible.
(1 point)
Responses
1.5 cm
1.5 cm
28.5 cm
28.5 cm
570 cm
570 cm
630 cm
570 cm
To find the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to consider that two planets are as far apart as possible when they are on directly opposite sides of the sun from each other.
Since Mars is 1.5 AU away from the sun in the scale model, its position can be represented by 1.5 AU * 20 cm/AU = 30 cm.
For Neptune, which is 30 AU away from the sun, its position in the scale model can be calculated as 30 AU * 20 cm/AU = 600 cm.
When Mars and Neptune are on directly opposite sides of the sun, the maximum possible distance between them would be the sum of their individual distances from the sun, which is 30 cm + 600 cm = 630 cm.
Therefore, the correct answer is 630 cm.