We did not quite finish our discussion of Chapter 1; we will finish this on Monday.
As part of our discussion of the mechanistic worldview of classical physics, I showed a beautiful image. Here it is:
The render was done by cazzanova and
is used by permission. I have reduced the size of the original so it fits in a browser window. The original is at: http://www.deviantart.com/view/211768/ |
We asked the text's Stop To Think 1.1. Virtually all students who participated got this question correct.
We asked the text's Stop To Think 1.2. Virtually all students who participated got this question correct.
You may see a pdf version of another question we asked by clicking on the button to the right. It will appear in a separate window. |
The class answered this as follows:
We discussed how for a mathematician answer 2 is correct. However I then argued that a vector has both a magnitude and direction by definition, but a vector of zero length has no direction; this argument indicates that answer 1 is correct. Since in physics we use mathematics as a language to communicate, not as some analytical logical structure, personally I prefer answer 3.
I will wish to re-cycle questions such as this in subsequent years. Thus I want to keep the question confidential between you and me, and have disabled printing. The question will remain available to you via the above link until after the Final Exam in the course.
After class today many of you asked about the text's Stop To Think 1.5 on page 30. In particular the question was how many significant figures are in the number:
8200
The answer is two. Consider writing this number in scientific notation
8.2 x 103
This shows that it really is two significant figures.
Consider this number:
8200.
The trailing decimal point is a notation that indicates that this number as four significant figures. In scientific notation this would be written as:
8.200 x 103
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