Solar System Distances Quick Check
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Question
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
570 cm
570 cm
630 cm
630 cm
28.5 cm
28.5 cm
1.5 cm
1.5 cm
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To find the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to find the distance between them in the model and then convert it back to real distances.
In the model, Mars is 30 cm away from the sun, which represents 1.5 AU. Therefore, 1 AU is equal to 30 cm / 1.5 = 20 cm.
Neptune is 30 AU away from the sun in the model. Using the scale, this corresponds to 30 AU * 20 cm/AU = 600 cm.
Therefore, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 600 cm.
Solar System Distances Quick Check
1 of 41 of 4 Items
Question
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
570 cm
570 cm
630 cm
630 cm
28.5 cm
28.5 cm
1.5 cm
1.5 cm
Skip to navigation
To find the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we first need to find the distance between Mars and the Sun, and then add it to the distance between Neptune and the Sun.
Mars is 1.5 AU away from the Sun in the model, and 1 AU is equal to 20 cm. Therefore, the distance between Mars and the Sun is 1.5 AU * 20 cm/AU = 30 cm.
Neptune is 30 AU away from the Sun in the model. Using the same scale, this corresponds to 30 AU * 20 cm/AU = 600 cm.
To find the maximum possible distance between Mars and Neptune, we add the distance between Mars and the Sun (30 cm) to the distance between Neptune and the Sun (600 cm).
Therefore, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 30 cm + 600 cm = 630 cm.
The correct answer is "630 cm".
A seven-digit has a 0 in the ones place, a 6 in the ten thousand place, an 8 millions place, and fives in each of the remaining places. What is the number?
Based on the given information, the number can be represented as:
8,500,056
Therefore, the number is 8,500,056.
To find the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to determine the distance between them when they are on directly opposite sides of the sun from each other.
Since Mars is 1.5 AU away from the sun and 1 AU is equal to 20 cm in the model, the distance of Mars from the sun is 1.5 AU * 20 cm/AU = 30 cm.
Similarly, Neptune is 30 AU away from the sun, so the distance of Neptune from the sun is 30 AU * 20 cm/AU = 600 cm.
When Mars and Neptune are on opposite sides of the sun in the scale model, the maximum possible distance between them would be the sum of their distances from the sun, which is 30 cm (distance of Mars from the sun) + 600 cm (distance of Neptune from the sun) = 630 cm.
Therefore, the correct answer is 630 cm.
To find the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to understand their distances from the Sun in the model.
According to the paragraph, Mars is 1.5 AU away from the Sun, and 1 AU is represented by 20 cm in the model. So, Mars is 1.5 AU * 20 cm/AU = 30 cm away from the Sun in the model.
Similarly, it is mentioned that Neptune is 30 AU away from the Sun. Using the same scale factor, Neptune would be 30 AU * 20 cm/AU = 600 cm away from the Sun in the model.
To find the maximum possible distance between Mars and Neptune, we need to consider that they are furthest apart when they are on directly opposite sides of the Sun in the model.
Drawing a line between Mars and Neptune, and considering the Sun as the center, we can place Mars 30 cm to the right of the Sun and Neptune 30 cm to the left of the Sun.
The maximum possible distance between Mars and Neptune would be the sum of their distances from the Sun in the model, which is 30 cm (Mars) + 30 cm (Neptune) = 60 cm.
Therefore, the correct answer is 570 cm.