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2. An astronomical unit (AU) is the average distance of the earth from the sun,

ID: 1659993 • Letter: 2

Question

2. An astronomical unit (AU) is the average distance of the earth from the sun, approximately 149,000,000 km. The speed of light is about 3.0 x 108 m/s. Express the speed of light in terms of astronomical units per minute. 3. Each second a chipmunk moves one half of the remaining distance from his nose to a dish of peanuts a. Make up a data table showing time versus distance. b. Does he ever get to the peanuts? . Draw graphs showing his velocity and position as time increases. d. What is the limiting value of his average velocity?

Explanation / Answer

1) The speed of light is
c = 3 x 108 m/s
1 AU = 149,000,000 km
c = 3 x 105 km /s
c = (3 x 105 / 149 x 106 ) AU / s
c = 0.002013 AU /s
Converting AU/ s to AU/ min
c = 0.002013 x 60 (AU / min)
c = 0.12080 AU /min
Thus the velocity of light will be
c = 0.12080 AU /min