Use 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)
Mark as C
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Item
Item 4
O 570 cm
• 630 cm
• 285 cm
• 1.5 cm
The maximum possible distance that can be drawn between Mars and Neptune in the scale model is 570 cm.
To find the maximum possible distance between Mars and Neptune in the scale model, we need to determine their positions when they are on directly opposite sides of the sun from each other.
Given that Mars is 1.5 AU away from the sun and in the model it appears at 30 cm, we can use the scale ratio of 1 AU = 20 cm to convert the distance of Mars from the sun to centimeters.
1.5 AU * 20 cm/AU = 30 cm
So, Mars is located at 30 cm from the sun in the scale model.
Similarly, Neptune is 30 AU away from the sun. Let's calculate its distance from the sun in centimeters:
30 AU * 20 cm/AU = 600 cm
Therefore, Neptune is located at 600 cm from the sun in the scale model.
To find the maximum possible distance between Mars and Neptune, we need to measure the distance between their positions on the scale model when they are on opposite sides of the sun.
Drawing a picture with the planets as far apart as possible, we can imagine Neptune on one side of the sun at 30 cm and Mars on the other side at 600 cm. The distance between them can be measured by subtracting the position of Mars from the position of Neptune:
600 cm - 30 cm = 570 cm
Therefore, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 570 cm.
Answer: O 570 cm.
To determine the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to consider their positions when they are on directly opposite sides of the sun from each other.
We know that Mars is 1.5 AU away from the sun, and in the model, it appears at 30 cm from the sun. This means that 1 AU in the model is equal to 20 cm. So, the distance of Mars from the sun in the model can be calculated as 1.5 AU * 20 cm/AU = 30 cm.
Similarly, we know that Neptune is 30 AU away from the sun. Using the same scale of 1 AU = 20 cm, we can calculate the distance of Neptune from the sun in the model as 30 AU * 20 cm/AU = 600 cm.
To find the maximum possible distance between Mars and Neptune in the model, we subtract the distance between Mars and the sun from the distance between Neptune and the sun.
Maximum distance = Distance of Neptune - Distance of Mars
= 600 cm - 30 cm
= 570 cm.
Therefore, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 570 cm.