f the coefficient of kinetic friction between tires and dry pavement is 0.80, what is the shortest distance in which you can stop an automobile by locking the brakes when traveling at 31.3 m/s ?



Answer :

The shortest distance in which you can stop an automobile by locking the brakes when traveling at 31.3 m/s is 62.48m

Force of friction f=N=mg,

where m is the mass of the car.

Acceleration,

a=f/m=mg/m=g

=0.8 x9.8

=7.84m/s2

The distance travelled, S before coming to rest (v = 0)

S=(v2- u2)/2

=(0 - 31.3x31.3)/2x7.84

=62.48 m

The shortest distance in which you can stop an automobile by locking the brakes when traveling at 31.3 m/s is 62.48m

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