During steady motion of a vehicle on a level road, the power delivered to the wheels is used to overcome aerodynamic drag and rolling resistance (the product of the rolling resistance coefficient and the weight of the vehicle), assuming the friction at the bearings of the wheels is negligible. Consider a car that has a total mass of 950 kg, a drag coefficient of 0.32, a frontal area of 1.8 m2, and a rolling resistance coefficient of 0.04. The maximum power the engine can deliver to the wheels is 80 kW. Determine (a) the speed at which the rolling resistance is equal to the aerodynamic drag force and (b) the maximum speed of this car. Take the air density to be 1.20 kg/m3.

During steady motion of a vehicle on a level road, the power delivered to the wheels is used to overcome aerodynamic drag and rolling resistance (the product of the rolling resistance coefficient and the weight of the vehicle), assuming the friction at the bearings of the wheels is negligible. Consider a car that has a total mass of 950 kg, a drag coefficient of 0.32, a frontal area of 1.8 m2, and a rolling resistance coefficient of 0.04. The maximum power the engine can deliver to the wheels is 80 kW. Determine (a) the speed at which the rolling resistance is equal to the aerodynamic drag force and (b) the maximum speed of this car. Take the air density to be 1.20 kg/m3.

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Question

During steady motion of a vehicle on a level road,
the power delivered to the wheels is used to overcome aerodynamic
drag and rolling resistance (the product of the rolling
resistance coefficient and the weight of the vehicle), assuming
the friction at the bearings of the wheels is negligible. Consider
a car that has a total mass of 950 kg, a drag coefficient
of 0.32, a frontal area of 1.8 m2, and a rolling resistance coefficient
of 0.04. The maximum power the engine can deliver
to the wheels is 80 kW. Determine (a) the speed at which
the rolling resistance is equal to the aerodynamic drag force
and (b) the maximum speed of this car. Take the air density
to be 1.20 kg/m3.

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