To find the maximum possible distance between Mars and Neptune in the scale model, we will first convert their distances from the sun into centimeters based on the given scale.
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Distance of Mars from the Sun:
- Mars is 1.5 AU away from the sun.
- Using the scale where 1 AU = 20 cm,
\[ \text{Distance of Mars} = 1.5 , \text{AU} \times 20 , \text{cm/AU} = 30 , \text{cm} \]
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Distance of Neptune from the Sun:
- Neptune is 30 AU away from the sun.
- Again, using the scale of 1 AU = 20 cm,
\[ \text{Distance of Neptune} = 30 , \text{AU} \times 20 , \text{cm/AU} = 600 , \text{cm} \]
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Finding the Maximum Distance:
- To find the maximum distance between Mars and Neptune when they are on opposite sides of the sun, we simply add the distances from the sun:
\[ \text{Maximum distance} = \text{Distance of Mars} + \text{Distance of Neptune} \] \[ \text{Maximum distance} = 30 , \text{cm} + 600 , \text{cm} = 630 , \text{cm} \]
Thus, the maximum possible distance that can be drawn between Mars and Neptune in the scale model is 630 cm.
The correct response is:
630 cm