A car travels at 59 mi/h when the brakes are suddenly applied. Consider how the

Question

A car travels at 59 mi/h when the brakes are suddenly applied. Consider how the tires of a moving car come in contact with the road. When the car goes into a skid (with wheels locked up), the rubber of the tire is moving with respect to the road; otherwise, when the tires roll, normally the point where the tire contacts the road is stationary. Assume the coefficients of friction between the tires and the road are ?K = 0.80 and ?S = 0.90. (a) Calculate the distance required to bring the car to a full stop when the car is skidding. (b) Calculate the distance required to bring the car to a full stop when the wheels are not locked up. (c) How much farther does the car go if the wheels lock into a skidding stop? Give your answer as a distance in meters and as a percent of the nonskid stopping distance.

Explanation / Answer

a) conservation of energy

speed 59miles/hr=26.3745m/sec
kinetic energy = work done by the frictional force

frictional force acting= k*N

N=mg(weight)

0.5mv2=(kN)*s

0.5m*26.37542=0.8*mg*s

347.8=7.84*s

s=44.362 m

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