9. S distance t panky and Sue are taking a road trip. Both are kind of nerdy and
ID: 716820 • Letter: 9
Question
9. S distance t panky and Sue are taking a road trip. Both are kind of nerdy and like to keep track of the raveled using their GPS units; Spanky measures distance in miles, Sue measures ance in kilometers. After their trip, they plot the distance traveled against the time (Figure 1). which line was plotted from Spanky's data and which from Sue's? Explain your answer. 140 120 100 5 80 2 60 2 40 20 0 10 20 30 0 50 60 Time (min) Figure 1 - Distance traveled as a function of time using distances measured in miles and kilometers 10. The distance to the sun is defined as one astronomical unit: 92,955,820.5 mi. The diameter of Earth at the equator is 7926.28 mi. How many planets the size of Earth could fit between Earth and the sun? a. the Earth than your head? b. Approximately how many times larger is a carbon atom is estimated to be approximately 1.54 A (A is the symbol for 1010 m). If you made a model of a carbon atom that is 1.5 cm in Angstrom, a unit of length. 1 A iameter, approximately how many times larger than an actual carbon atom is the model?Explanation / Answer
Q9. 1 mile = 1.6 km
For a given amount of time, distance measured in km will be more than distance measured in miles. Therefore the dotted line (or the upper line) on graph represents data for km and this data is measured by Sue.
The continous line (or the lower line) on graph represents data for miles and this data is measured by Spanky.
Q10. (a.) Number of planets = distance between Sun and Earth / diameter of Earth
Number of planets = 92955820.5 mi / 7926 mi
Number of planets = 11727.5
(b.) Diameter of human head = 55 cm
Diameter of human head = 55 cm * (1 m / 100 cm) * (1 km / 1000 m) * (0.621 mi / 1 km)
Diameter of human head = 3.42 x 10-4 mi
Volume of Earth = (pi / 6) * D3 where D = 7926 mi
Volume of head = (pi / 6) * d3 where d = 3.42 x 10-4 mi
Volume of Earth / Volume of head = ((pi / 6) * D3) / ((pi / 6) * d3)
Volume of Earth / Volume of head = D3 / d3
Volume of Earth / Volume of head = (7926 mi)3 / (3.42 x 10-4 mi)3
Volume of Earth / Volume of head = 1.25 x 1022
Earth is larger than human head by 1.25 x 1022 times
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