PHYS_2014_Homework_1_soln

PHYS_2014_Homework_1_soln - PHYS2014 Benton Fall 2010 OSU...

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PHYS2014 Fall 2010 Benton OSU Physics Dept. 1 Physics 2014: General Physics I Homework Assignment 1: Solutions Due: Friday, 3 September 2010 at the beginning of your Recitation session. Problems: 1. Convert the unit of furlongs/fortnight into meters/second. Solution: Searching on Google for the term “furlong” reveals the fact a furlong is equal to one eighth of a mile or: 1 furlong = 201.2 m . Similarly, we find that 1 “fortnight” is equal to 2 weeks or 14 days: 1 fortnight days 14 × fortnight hr 24 × day s 3600 hr × 4 1,209,000 s 201.2 m furlong m mm 1 1.66 10 0.166 fortnight s s 1,209,000 s = = = × = 2. Explain why manholes and manhole covers are circular and not some other shape (e.g. rectangular or oval). Solution: If manholes and manhole covers were some shape other than circular, the manhole covere could be turned on end and fall through the manhole …a possibly onto the head of the worker below. This cannot happen with circular manholes and manhole covers. 3. Dr. Larry Pinsky, chairman of the Physics Department at the University of Houston, travels more than anyone else I know. Last year he made 8 round trips to Geneva (home of CERN, the European Particle Physics Center), 3 round trips to Tokyo (the Japanese KEK particle physics laboratory is in Tsukuba, near Tokyo), 7 round trips to Chicago (Fermi National Accelerator Laboratory), 5 round trips to New York (Brookhaven National Laboratory), 2 round trips to London (apparently he likes English beer), and 1 round trip to each of the following cities: Moscow, Buenos Aires, and New Delhi (for scientific conferences). Based on the table of round trip distances below, find Dr. Pinsky’s average speed last year in m/s and in miles/hour. Why might this estimate be on the low side (i.e. too small)? What was Dr. Pinsky’s average velocity last year (assuming he spends every New Year at home)? (In case you’re wondering, a typical jetliner flies at about 245 m/s or 550 miles/hour.)
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PHYS2014 Fall 2010 Benton OSU Physics Dept. 2 Table for Problem 3: Round trip distances between Houston, TX and major cities visited by Dr. Pinsky last year. City Round Trip Distance (km) Round Trip Distance (miles) Geneva 16900 10500 Tokyo 21400 13260 Chicago 2980 1852 New York 4540 2820 Moscow 18920 11760 London 15200 9440 Buenos Aires 16320 10140 New Delhi 26924 16728 Solution: Total distance traveled in a year by Dr. Pinsky: 335,524 km or 208,352 miles. There are 8760 hours in a year so Dr. Pinsky’s average speed is 335,524 km km 38.3 hr 8760 hr = m 10.7 s = or 23.8 miles per hour. Since Dr. Pinsky spends every new year at home, all the position vectors describing his travel will cancel out so that his average velocity is 0 m/s.
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PHYS_2014_Homework_1_soln - PHYS2014 Benton Fall 2010 OSU...

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