Demoquiz 2 [Scale Model of the Solar System] (WIN24) (4)
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University of Washington *
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Course
150
Subject
Mathematics
Date
Feb 20, 2024
Type
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6
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UW ASTRO 150 (WINTER 2024) Demoquiz 2:
Scale Model of the Solar System
Understanding math and scale are important to being responsible citizen scientists, and important to understanding models. If it's been a while since you last had to do any math, don't worry - this assignment provides you the opportunity to dust off the 'math-gears' in your brain and put them to good use. 1.
(1pt) It takes light approximately 8 minutes to reach the Earth from the surface of the Sun. The distance between Jupiter and the Sun is five astronomical units (5 AU). How long does it take light to travel that distance? 40 mins 2.
(7pt) write in scientific notation the following numbers 14,567,000 1.4567 × 10^7
10 1 × 10
1
19,000 1.9 × 10
4
21,390,000,124 2.1390000124 × 10
10
16 1.6 × 10
1
459,876,123 4.59876123 × 10
8
1.0 1 × 10
0
3.
(4pt) write in scientific notation the following numbers a.
0.001398 1.398 × 10
-3
b.
0.1 0.1 × 10
1
c.
0.0000384002 3.84002 × 10
-5
d.
0.01 0.01 × 10
-2
4.
(27pt) As we start to discuss the Solar System and the planets, it should become clear that space is huge. Explore this demonstration of a scale model of our solar system Scale Model of the Solar System (
Captioned Presentation Version), and then watch Bill Nye’s classic video on scaling the Solar System that will help you with this activity: https://joshworth.com/dev/pixelspace/pixelspace_solarsystem.html Then fill in the following table by converting units. For the third column, set up a scale model of the solar system for your grandma or similar grandperson, on your desk. You do not need to make the planets to scale, just the distances between them. The key to scaling is ratios. This is a short reminder on scaling https://www.youtube.com/watch?v=EcAXd3qn9Do
. a.
Explain your scale here: Name of object Distance in AU Distance in km Your scale Mercury 0.4 59840000 0.4 inches Venus 0.72 107712000 0.72 inches Earth 1 149600000 1 inches
Mars 1.52 227392000 1.52 inches Asteroid Belt 2.8 418880000 2.8 inches Jupiter 5.2 777920000 5.2 inches Saturn 9.5 1.4212x10^9 9.5 inches Uranus 19.8 2.96208x10^9 19.8 inches Neptune 30.1 4.50296x10^9 30.1 inches Pluto 39 5.8344x10^9 39 inches 5. (5pt) Set up the scale model, and take a picture. Insert that picture here.
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6.
(2pt) If you had to include Alpha Centauri A (the closest star to us) in your figure, how big would your scale model be? (Alpha Centauri is 4.4 light years from Earth). 4.4
year×365
⋅
24
⋅
60
⋅
60seconds/year×300000km/second
(4.16275x10^13) / (1.496x10^8) = 278,258.8235 AU 278,258.8235 inches Thanks~! Turn this document into a PDF, and upload to canvas
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