HW - Lectures 7-10.pdf - Phys1003 Homework L7 \u2013 L10 1(a Find the power needed to keep a car traveling at a speed 100 km\/h If the speed is increased to

# HW - Lectures 7-10.pdf - Phys1003 Homework L7 – L10 1(a...

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Phys1003 Homework L7 L10 1. (a) Find the power needed to keep a car traveling at a speed 100 km/h. If the speed is increased to 125 km/h , what is the power needed to keep the car moving? By what factor is the power used increased or decreased? (b) Find the energy used in covering 100 km with speed of 100 km/h and 125 km/h , using the data given by MacKay. Find the factor the energy used is increased or decreased. 2. Car ownership increases as the purchasing power parity (PPP) income per capita of people increases. Growth of vehicle ownerships versus income per capita in the USA, Germany, Japan and S. Korea from 1960 to 2002 are shown in the graph below. In the background is a function showing the “average” growth of vehicle ownership for low to high personal income. (a) Find the annual increase in vehicle number per 1000 people for the following six personal annually income intervals, below \$5,000, \$5,000-\$10,000, \$10,000-\$15,000, \$15,000-\$20,000, \$20,000-\$25,000 and \$25,000-\$30,000. Which interval gives the fastest increase? (b) The curve for USA is considerably above the more or less overlapping curves Germany, Japan and S. Korea. The US vehicle number of slightly more than 400 in 1960 corresponds to an income of \$12,800, this number for the average of Germany and Japan corresponds to an income of \$17,700, a difference of about \$5,000. What does this mean? Why?
3. The empty weight (mass), the maximum take-off weight (MTOW, mass), the maximum fuel

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