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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 ? |
Answer» 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)` . |
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