(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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 y = BtC, where B and C are constants to be determined experimentally. To accomplish this, create a log-log plot of the data.

(a) Graph log(y) vs. log(t), with log(y) the ordinate variable and log(t) the abscissa variable. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Show that if you take the log of each side of your expected relationship, you get log(y) = log(B) + C log(t). (Do this on paper. Your instructor may ask you to turn in this work.)

(c) By comparing this linear relationship to the graph of the data, estimate the values of B and C.

B = 1 m/s2

C = 2

(d) If you drop a penny, how long should it take to fall 1.0 m?

3 s

(e) In the next chapter, we will show that the expected relationship between y and t is y = ½at2, where a is the acceleration of the object. What is the acceleration of objects dropped on the moon?

4 m/s2

2. Relevant equations

y = BtC

3. The attempt at a solution

log(Y)+ log(t) = log(Y).(t)

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: I really need to understand this. I Love Physics, but sometimes I get to overwhelmed

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