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October 20, 2014

October 20, 2014

Posted by **Sam** on Thursday, September 20, 2012 at 12:32pm.

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.

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**Steve**, Thursday, September 20, 2012 at 12:48pm1.5*10^8/3.8*10^5 = 100/x

394 = 100/x

x = .253m

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**Sam**, Thursday, September 20, 2012 at 12:58pmHow did you get .253m? Wouldn't you multiply by 100?

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**Steve**, Thursday, September 20, 2012 at 2:13pmif 394 = 100/x, x = 100/394

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**Steve**, Thursday, September 20, 2012 at 2:14pmbesides, if the sun is 100m away, would you not expect the moon to be a

**lot**closer?

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**bobpursley**, Thursday, September 20, 2012 at 2:40pman 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.

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**Steve**, Thursday, September 20, 2012 at 3:14pmThere 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.

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**Sam**, Thursday, September 20, 2012 at 5:17pmThank you! That helped.

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