A car (m= 2740kg)is moving at a speed of35.6m/s on the highway .the driver notic

Question

   A car (m= 2740kg)is moving at a speed of35.6m/s on the highway .the driver notices slower traffic ahead andapplies the brakes . The car slows down to a speed of 17.2 m/s in adistance of 148m due to the combination of the brakes and theair resistance acting on the car . The brakes apply a constantforce of 7500N while applied. A)what is the work done on the car by the force of the airresistance? B )determine the magnitude of the average force of the airresistance acting on the car ?    A car (m= 2740kg)is moving at a speed of35.6m/s on the highway .the driver notices slower traffic ahead andapplies the brakes . The car slows down to a speed of 17.2 m/s in adistance of 148m due to the combination of the brakes and theair resistance acting on the car . The brakes apply a constantforce of 7500N while applied. A)what is the work done on the car by the force of the airresistance? B )determine the magnitude of the average force of the airresistance acting on the car ?

Explanation / Answer

mass m = 2740 kg

Initial speed u = 35.6 m / s

Final speed v = 17.2 m / s

Distance S= 148 m

Force F = 7500 N

Work done by applied constant force W = F S= 1110000 J

Net work done W ‘ = change in kineticenergy

                               = ( 1/ 2) m[ v ^ 2- u^ 2]

                               = 1330982.4 J

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