Physics 1AWinter 2008 Problem Set #1 1)a) The mean earth-sun distance is 1.49 x 108km. What is the mean orbital speed of the earth in miles/hr if it makes 1 revolution per year? b) Los Angeles and New York are about 3000 miles apart, and the time difference between these cities is 3 hours. What is the circumference of the Earth in kilometers? 2)Demonstrate the following: a) ()()( )××=−AB C ACB BCAGGGGGGGiib) ()()( )=−ABC ACBABCGGGGG3)In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates where one of the CH bonds is in the direction of i+j+k, an adjacent CH bond is in the i-j-kdirection. Calculate the angle between these two bonds. 4)According to a Scientific Americanarticle (May, 1990), current freeways can sustain about 2390 vehicles per lane per hour in smooth traffic flow at speed 97 km/h. Above that figure the traffic flow becomes "turbulent" (stop-and-go). If a vehicle is of length 4.7 m on the average, what is the average spacing between
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