Question

A car travels around a horizontal bend of radius 177 m at a constant speed. (a) If the coefficient of the static friction between the road and car tyres is us = 0.6 then what is the maximum speed that the car can negotiate the bend without sliding from the road? m/s Fil (b) What is the magnitude of car's acceleration at the speed calculated in (a)? m/s2 (c) Later, the road at the bend was modified so that the friction is same as that of the straight road before and after the bend, and the bend was banked at an angle e in order for the same car to still be able to round bend without sliding

Answer 1

1. given, rs 177 m. radius of the track, ( speed is constant coefficient of stakch frei ction, lbe=0.6 we know sheet the centripetal force is given by Fe= mv2 Y and the forchonend force given by Caleng f = lbsna lemy with out sliding fe af lat nis normal force In order to bend the cour at marimum speed my max = ling manimum speed thad the car com negaticate 'cate the band without å sliding Vonar ego subschuheling respective values Vmax (0.6 .6) (9.81m), 2) (1770) 32.277 mly Vmax= 32. 277 mle The magnitude of con's acceleration at the Vimax 2 2 a= Vmax (32.217 m) - 5.886 m² 177 m a-5.886 m2

Comment

A) The maximum speed of the car was found out to be Vmax=32.277 m/s.

B) the magnitude of acceleration of the car was found out to be a=5.886m/s^2