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Calculating the Stopping Distance of a Car

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A car is traveling on a level road with speed v_o at the instant when the brakes lock (preventing tire rotation) so that the tires slide rather than roll.

Questions:
A. Use the work-energy theorem to calculate the minimum stopping distance of the car in terms of v_o, g, and the coefficient of kinetic friction, mu_k between the tires and the road.

B. The car stops in a distance of 91.9 m if v_o = 80km/h. What is the stopping distance if v_o = 60 km/h? (Assume that the value of mu_k remains the same).

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Solution Summary

The solution calculates the distance that it takes a car to stop.

Solution Preview

Solution:
The kinetic energy is spent as the work is done by the frictional force.

Let m be the mass and x be the ...

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