09_109_Midterm_I_Questions

09_109_Midterm_I_Questions - P HYSICS 109: MIDTERM I EXAM...

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PHYSICS 109: MIDTERM I EXAM PROBLEMS The midterm will be eight of these, to be answered in the class period. It will be pledged: you must not use any source of information during the exam. You will not need calculators, as you can see. When asked for approximate times, the right century is enough. 1. Explain briefly what features of the Babylonian numbering and measuring systems were superior to ours: sketch the way they represented 1, 2, 10, 25, 60, 5400. 2. Approximately when and where was Thales? What did he contribute to the development of science? How did he measure the height of a pyramid? How did he measure the distance away of a ship? 3. According to the historical record, who first did geometry? And why? And approximately when? Who first approached geometry as a purely intellectual exercise? 4. Approximately when and where was Pythagoras? Briefly, what did his followers believe? Why did they thing the stars moved across the sky daily? Why did they think numbers related to music? 5. Draw a couple of diagrams to prove Pythagoras’ Theorem, that is, reproduce two equal squares containing four identical triangles, as in the flashlet, and explain your proof. 6.
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09_109_Midterm_I_Questions - P HYSICS 109: MIDTERM I EXAM...

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