CONTEXT-RICH, ENGINEERING APPLICATION, SPREADSHEET You are

Chapter , Problem 71

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CONTEXT-RICH, ENGINEERING APPLICATION, SPREADSHEET You are an astronaut doing physics experiments on the moon. You are interested in the experimental relationship between distance fallen, y, and time elapsed, t, of falling objects dropped from rest. You have taken some data for a falling penny, which is represented in the table below. (a) y (m) 10 20 30 40 50 (b) t (s) 3.5 5.2 6.0 7.3 7.9 You expect that a general relationship between distance y and time t is where B and C are constants to be determined experimentally. To accomplish this, create a log-log plot of the data: (a) graph vs. with the ordinate variable and the abscissa variable. (b) Show that if you take the log of each side of your expected relationship, you get (c) By comparing this linear relationship to the graph of the data, estimate the values of B and C. (d) If you drop a penny, how long should it take to fall 1.0 m? (e) In the next chapter, we will show that the expected relationship between y and tis where a is the acceleration of the object. What is the acceleration of objects dropped on the moon?