Two cars A and B start racing at the same on a flat race track which consists of two strainght sections each of length 100 pi and one circular section as shown in figure The rule of the race is that each car must travel at constant speed at all time without even skidding

Two cars A and B start racing at the same on a flat race track which c

1.	Two cars A and B start racing at the same on a flat race track which consists of two strainght sections each of length 100 pi and one circular section as shown in figure The rule of the race is that each car must travel at constant speed at all time without even skidding
Answer» Car A completes its journey before car B Both cars complete their journey in same time VELOCITY of car A is greater than that of car B Car B of car A is journey before carA Solution :MAXIMUM velocity for car A `v_(A, max)= sqrt(MU gr) = sqrt(0.1 xx 10 xx 100) = 10 ms^(-1)` `v_(B, max) = sqrt(mu_(B)gR_(B)) = sqrt(0.2 xx 10 xx 200) = 20 ms^(-1)` Time taken by car A `t_(A) = (200 PI + pi. 100)/(100) = 3 pi s` `t_(B) = (200 + pi xx 200)/(20) = 2 pi s`