A car travels on a flat, circular track of radius `200 m` at `30 ms^(-1)` and has a centripetal acceleration `= 4 .5 ms^(-2)`. (a) If the mass of the car is 1000 kg , what frictional force is required to provide the acceleration ? (b) If the coefficient of static friction is 0.8, what is the maximum speed at which the car can circle the track ?

Explanation

Here , ` r = 200 m , upsilon = 30 ms -1 `
Centripetal acc , `a = 4.5 ms^(-2) , m = 1000 kg `
Frictional force required ` F = ? `
As F = Accelerating force `= m a = 1000 xx 4.5 `
`= 4500 N`
(b) `mu = 0 .8 , upsilon = ?`
`upsilon = sqrt(mu r g)= sqrt(0.8 xx 200 xx 9.8 )=39.6 ms^(-1)` .