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)
Responses
28.5 cm
28.5 cm
570 cm
570 cm
630 cm
630 cm
1.5 cm
28.5 cm
A human-operated spaceship reaches the moon in 3 days. The moon is about 386,400 km from Earth. Mars, our closest planetary neighbor, is, at its closest, about 140 times farther away from us than the moon if Mars stays in place. Assuming a very simple model of the solar system, about how long would it take that same spaceship to reach Mars?(1 point)
Responses
about 1 year
about 1 year
about 7.5 years
about 7.5 years
about 22.5 years
about 22.5 years
about 2.5 years
about 2.5 years
Use the diagram to answer the question.
An illustration shows the sun and the eight planets. The planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
What is the main problem with this model if it were going to be used to study the dimensions of the solar system?
(1 point)
Responses
The planets are shown as having different shapes.
The planets are shown as having different shapes.
The planets are depicted in different colors.
The planets are depicted in different colors.
The planets are represented in different sizes.
The planets are represented in different sizes.
The planets are placed at the same distance from each other.
The planets are placed at the same distance from each other.
To find the maximum possible distance between Mars and Neptune in the scale model, we need to determine the distance between them when they are on opposite sides of the sun.
Since Mars is 1.5 AU away from the sun, and 1 AU in the model is equivalent to 20 cm, Mars would appear 30 cm away from the sun.
Similarly, since Neptune is 30 AU away from the sun, it would appear 600 cm away from the sun in the model (30 AU x 20 cm/AU = 600 cm).
To find the distance between Mars and Neptune when they are on opposite sides of the sun, we subtract the distance of Mars from the sun (30 cm) from the distance of Neptune from the sun (600 cm):
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.
To answer this question, we need to determine the maximum distance that can be drawn between Mars and Neptune in the scale model. The hint provided suggests that the two planets would be as far apart as possible when they are on directly opposite sides of the sun from each other.
In the scale model, Mars is placed at 30 cm from the sun, which represents 1.5 AU. We know that 1 AU is equivalent to 20 cm in the scale model. Therefore, we can calculate the distance of Mars from the sun in centimeters by multiplying the AU value by the scale factor:
1.5 AU * 20 cm/AU = 30 cm.
Similarly, we can determine the distance of Neptune from the sun in centimeters. It is mentioned that Neptune is 30 AU away from the sun in the scale model.
30 AU * 20 cm/AU = 600 cm.
Now, to find the maximum possible distance that can be drawn between Mars and Neptune, we need to consider the scenario where they are on opposite sides of the sun. Since the distance between Mars and the sun is 30 cm, and the distance between Neptune and the sun is 600 cm, the combined distance between Mars and Neptune would be:
30 cm + 600 cm = 630 cm.
So, the correct answer is 630 cm.