Whitney in KY Posted February 11, 2008 Share Posted February 11, 2008 I am about to pull my hair out. I never got this in school. Now I am trying to teach my dd something I don't completely get. (Creating scale models and drawings) Here is the problem: In a scale model of the solar system, a penny (0.019 m in diamater) is used to represent the sun, which is 139,200 km in diamater. 1. Determine the scale being used for this model. (I did get this one, it is approx. 1:7,326,300,000-checked answer it is correct.) 2. On average, Earth is 149,600,000 km from the sun. HOW FAR FROM THE PENNY SHOULD EARTH BE IN THE MODEL? (This has stumped me! Don't understand how to arrive at the answer!) 3. On average, pluto is 5,950,000,000 km from the sun. How far from the penny should Pluto bein the model? 4. The moon is about 400,000 km from the Earth. How afar away from Earth should it bein the model? I have all the answers in the answer book but I need to know HOW they got the answers.... TIA Quote Link to comment Share on other sites More sharing options...
Snickerdoodle Posted February 11, 2008 Share Posted February 11, 2008 well, 0.019 m = 139,200 km yes? (the relationship, I mean) Quote Link to comment Share on other sites More sharing options...
RoughCollie Posted February 11, 2008 Share Posted February 11, 2008 x Quote Link to comment Share on other sites More sharing options...
Snickerdoodle Posted February 11, 2008 Share Posted February 11, 2008 found my mistake Quote Link to comment Share on other sites More sharing options...
Snickerdoodle Posted February 11, 2008 Share Posted February 11, 2008 It's the same either way... Quote Link to comment Share on other sites More sharing options...
Snickerdoodle Posted February 11, 2008 Share Posted February 11, 2008 you got 1 meter per 7,326,300,000 km Therefore: 1/7326300000 = X/149,600,000 km or 0.0204 M or 20 cm? Quote Link to comment Share on other sites More sharing options...
Snickerdoodle Posted February 11, 2008 Share Posted February 11, 2008 OK, won't do that again with dinner going on 3 burners and my 3 yo "gassing" on me :D Quote Link to comment Share on other sites More sharing options...
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