(f) How many millimeters is that? (use scientific notation, 4 points). (g) The r

Question

(f) How many millimeters is that? (use scientific notation, 4 points). (g) The radius of the Earth is 3959 miles. There are 5280 feet in a mile. How many feet is that? (do not use scientific notation, 4 points). (h) There are 12 inches in a foot. How many inches is the radius of the Earth (again do not use scientific notation, 4 points). (i) Now convert the number of inches in the Earth’s radius into scientific notation. What is easier to calculate, inches in the Earth’s radius or millimeters? (2 questions, 4 points total). (j) This final exercise is called a factor label problem. To solve this problem you’ll have to convert a number of different measurements into an appropriate unit. One last thing you need: the speed of light is 3 x 108 meters per second (m/s). The diameter of the sun is 1.4x1011 cm and the distance to the nearest star, Proxima Centauri, is 4.2 light years. Suppose you want to build an exact scale model of the sun and Proxima Centauri and you are using a ball 30 cm in diameter to represent the sun. In your scale model, how far away would Proxima Centauri be from the sun? Give your answer in kilometers. (15 points) Could you build that scale model on the Earth? Yes or no. (4 points) How many suns would it take, laid side-by-side, to reach Proxima Centauri? Give your answer in scientific notation. (5 points)

Explanation / Answer

g)3959 miles = 20903520 Feet

h) Radius of earth in Inches, R = 6400000 m

R = 259168640 Inches

i) In Scientific Notation, R = 2.59*10^8 inches

j)

Distance of Proxima Centauri from Sun is 4.2 light years

D = 4.2*3*10^5*365*24*3600

D = 397353600 Km

No, Since Radius of earth is 6400 km , we cannot built model on earth.

Now taking Diameter of sun as 0.3 m or 0.0003 km

Distance between proxima centauri to sun in terms of Suns diameter is 397353600 Km*0.0003 =119206.08 Suns

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