to maintain a speed v on a horizontal road, a car must supply enough power to ov
ID: 2272320 • Letter: T
Question
to maintain a speed v on a horizontal road, a car must supply enough power to overcome air resistance. that required power goes up with increasing speed according to the formula p = power in kW = k*v^3 where v is the speed measured in miles/hour and K is a constant of proportionaliy. suppose it takes a measured 7.7 kW for a car to overcome air resistance alone at 30.0 mph.
a. What is the value of K in its appropriate units?
b. Using a spreadsheet, prepare a graph of power (kW on the y axis) as a function of speed (mph on the x axis) for speeds from 0 mph to 100 mph.
Explanation / Answer
a. P = kv^3 => 7.7 = k (30^3) => k = 7.7/27000 = 2.852 * 10^(-4) kW/mph
b. http://i.imgur.com/3SECDyx.png
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