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Questions  

A car is moving along a straight horizontal road with a speed u0. If the coefficient of friction between the tyres and the road is μ, the shortest distance in which the car can be stopped is

a
u∘22μg
b
u0μg
c
u0μg2
d
u0μ

detailed solution

Correct option is A

Retarding force F=μR=μmg∴a=μgNow from equation of motion   v2=u2−2as⇒0=u2−2as⇒s=u22a=u22μg∴s=u022μg

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Similar Questions

A skier starts from rest at point A and slides down the hill without turning or breaking. The friction coefficient is μ. When he stops at point B, his horizontal displacement is s. What is the height difference between points A and B

(The velocity of the skier is small, so that the additional pressure on the snow due to the curvature
can be neglected. Neglect also the friction of air and the dependence of μ on the velocity of the skier.) 


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