The energy stored in gasoline is approximately 3.50×10 4 kJ per litre; 25% of th

Question

The energy stored in gasoline is approximately 3.50×104 kJ per litre; 25% of this is converted into useful work by an automobile. When you drive on the highway at constant speed, most of the work the car does is against the drag force.

Assuming there is no wind, how far can the car travel on a level road at 30.1 m/s with 5 L of gasoline? The force due to air resistance is F = Dv2, where D = 0.915, and v is the velocity in m/s.

If you decide to take the side roads and travel at half the speed, how far can you travel with the same amount of gas?

Explanation / Answer

applying balancing conditions we get

formula for distance S = V^2(2ug)

where u is coefficient of friction

g is acclration due to gravity

so

S = 30.1^2/(2*0.915 * 9.8)

S = 50.51 m

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