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.
In the scale model, if Mars appears 30 cm away from the sun, and 1 AU is equal to 20 cm, then Mars is actually 1.5 AU * 20 cm/AU = 30 cm away from the sun. Given that Neptune is 30 AU away from the sun, we can calculate its distance in the scale model as follows: 30 AU * 20 cm/AU = 600 cm.
To determine the maximum possible distance between Mars and Neptune in the scale model, we need to consider when they are on directly opposite sides of the sun from each other. In this scenario, the distance between them would be the sum of their respective distances from the sun.
So, the maximum possible distance that can be drawn between Mars and Neptune in the scale model would be 30 cm (Mars' distance from the sun) + 600 cm (Neptune's distance from the sun) = 630 cm.
To illustrate this, in the scale model, you can draw Mars 30 cm away from the sun on one side and place Neptune 600 cm away from the sun on the opposite side.
To solve this problem, let's calculate the distances between the planets in the scale model.
Given that 1 AU = 20 cm, we can calculate the distance from the sun to Mars as follows:
Distance from the sun to Mars in the model = Mars distance from the sun in AU x 1 AU = 1.5 AU x 20 cm/AU = 30 cm.
Next, we need to find the maximum possible distance that can be drawn between Mars and Neptune in the scale model. This occurs when they are on directly opposite sides of the sun from each other.
Since Neptune is 30 AU away from the sun, the distance from the sun to Neptune in the model is:
Distance from the sun to Neptune in the model = Neptune distance from the sun in AU x 1 AU = 30 AU x 20 cm/AU = 600 cm.
To find the maximum possible distance between Mars and Neptune, we need to add the distances from the sun to each planet:
Maximum possible distance between Mars and Neptune in the model = Distance from the sun to Mars in the model + Distance from the sun to Neptune in the model = 30 cm + 600 cm = 630 cm.
So, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 630 cm.
To determine the maximum possible distance that can be drawn between Mars and Neptune in the scale model, we need to consider that these two planets are as far apart as possible when they are on directly opposite sides of the sun from each other.
In the scale model, 1 AU is represented by 20 cm. Mars is 1.5 AU away from the sun, so in the model, it is placed at a distance of 30 cm (1.5 AU * 20 cm/AU). Neptune, on the other hand, is 30 AU away from the sun.
To create a picture with the planets as far apart as possible, we can draw a line representing the sun and place Mars and Neptune at opposite ends. Since 1 AU is represented by 20 cm, we can place Mars at 30 cm and Neptune at 30 AU * 20 cm/AU = 600 cm from the sun.
So, in the scale model, the maximum possible distance that can be drawn between Mars and Neptune is 600 cm.