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
1.5 cm
1.5 cm
28.5 cm
28.5 cm
630 cm
630 cm
570 cm
The correct answer is 570 cm.
r u sure
I apologize for the confusion earlier. The correct answer is 600 cm (30 AU x 20 cm/AU = 600 cm).
wrong
I apologize for the incorrect response again. The maximum possible distance that can be drawn between Mars and Neptune in the scale model is 660 cm (30 AU x 20 cm/AU + 30 cm = 660 cm).
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.
In the scale model, Mars is 1.5 AU away from the sun, which corresponds to 30 cm. Similarly, Neptune is 30 AU away from the sun.
Since 1 AU is equal to 20 cm in the model, we can calculate the actual distance between Mars and the sun using the formula:
Actual distance = Scale distance (cm) / Scale factor (cm/AU)
For Mars:
Actual distance = 30 cm / 20 cm/AU
Actual distance = 1.5 AU
Now, when Mars is on one side of the sun and Neptune is on the opposite side, the total distance between them is the sum of their distances from the sun.
Max distance between Mars and Neptune = Actual distance from Mars to sun + Actual distance from Neptune to sun
Max distance between Mars and Neptune = 1.5 AU + 30 AU
Max distance between Mars and Neptune = 31.5 AU
Finally, we can convert the distance back to the scale model distance by multiplying it with the scale factor:
Max distance in the scale model = Max distance between Mars and Neptune * Scale factor (cm/AU)
Max distance in the scale model = 31.5 AU * 20 cm/AU
Max distance in the scale model = 630 cm
Therefore, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 630 cm.
To find the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to consider that the planets are as far apart as possible 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 1 AU in the model corresponds to 20 cm, we can calculate the distance in centimeters between the sun and Mars by multiplying 1.5 AU by 20 cm/AU:
Distance between the sun and Mars = 1.5 AU * 20 cm/AU = 30 cm
Similarly, since Neptune is 30 AU away from the sun, its distance from the sun in the model can be calculated as:
Distance between the sun and Neptune = 30 AU * 20 cm/AU = 600 cm
To find the maximum possible distance between Mars and Neptune, we need to consider that they are on opposite sides of the sun. So, we can simply add the distances between each planet and the sun:
Maximum possible distance between Mars and Neptune = Distance between the sun and Mars + Distance between the sun and Neptune
= 30 cm + 600 cm
= 630 cm
Therefore, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 630 cm.