Asked by Sam
                Can You help me with this question?
The distance from the earth to the sun is about 1.5 X 10^8 km, while the distance from the earth to the moon is about 3.8 X 10^5 km. If a scale model of the solar system is constructed so that the distance from the Earth to the Sun is 100 meters, what will be the distance from the Earth to the Moon? Express your answer in meters.
            
        The distance from the earth to the sun is about 1.5 X 10^8 km, while the distance from the earth to the moon is about 3.8 X 10^5 km. If a scale model of the solar system is constructed so that the distance from the Earth to the Sun is 100 meters, what will be the distance from the Earth to the Moon? Express your answer in meters.
Answers
                    Answered by
            Steve
            
    1.5*10^8/3.8*10^5 = 100/x
394 = 100/x
x = .253m
    
394 = 100/x
x = .253m
                    Answered by
            Sam
            
    How did you get .253m? Wouldn't you multiply by 100?
    
                    Answered by
            Steve
            
    if 394 = 100/x, x = 100/394
    
                    Answered by
            Steve
            
    besides, if the sun is 100m away, would you not expect the moon to be a <b>lot</b> closer?
    
                    Answered by
            bobpursley
            
    an interesting variation of this, in which I have had students actually do this outside, is to determine the scale distance from Earth to Pluto.  As I recall, and you can work it out, it is about 4000 meters, about 2.5 miles.
    
                    Answered by
            Steve
            
    There is a model of the solar system in Peoria, IL and nearby towns. Discover magazine did a nice article on it a while back.
discovermagazine.com/1995/mar/theplanetsofpeor482
If you're ever visiting there, give it a look.
    
discovermagazine.com/1995/mar/theplanetsofpeor482
If you're ever visiting there, give it a look.
                    Answered by
            Sam
            
    Thank you! That helped.
    
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