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The drag force, F drag , experienced by a car due to air resistance may be repre

ID: 1858015 • Letter: T

Question

The drag force, Fdrag, experienced by a car due to air resistance may be represented as,

Fdrag = Cd A r V2

Where Cd is the drag coefficient, A is the frontal area of the car, V is the velocity of the car and r is the density of air.

A 4x4 MPV has a drag coefficient, Cd=0.4 and frontal area A=4 m2. If the MPV travels at a constant speed of 80 km/hr for 30 minutes, then {    ? } MJ of energy will be used to overcome the air drag.

Assume the air is at a temperature of 290 K and a pressure of 100 kPa. The gas constant for air is equal to 287 J/kg K.


Show work please

Explanation / Answer

density=p/RT=100*10^3/287*290=1.2014

F(drag)=0.4*4*1.2014*(22.22)^2=949.13 N

distance covered,s=22.22*30*60=39996 m

energy=F*S=37.96MJ

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