3. Car on a Curved Road Kari is driving a car along a flat road. The car has a m

Question

3. Car on a Curved Road Kari is driving a car along a flat road. The car has a mass of 1300 kg and is approaching a curve with a radius of 40 meters. Kari is driving with a constant speed of 30 MPH (1 m/s 2.24 MPH) R= 40 m A. Determine the coefficient of friction between the car and the road such that Kari can have a maximum speed of 30 MPH without sliding in the curve. B. If it is raining, the roadway becomes wet and slippery. Give a physics explanation of why Kari should lower her speed as she goes around the same curve.

Explanation / Answer

3) A) coefficient of friction = (13.4112 * 13.4112)/(40 * 9.8)

                                       = 0.458

   B) Lowering of speed is done to reduce the centripetal force to avoid sliding as frictional force is reduced .

4)     Normal horizontal force component = N * sin(theta)

     Centripetal force = mv2/r

=> for equilibrium of vehicle

=>    N * sin(theta) =   mv2/r

=>   angle for banking = tan-1[(13.4112 * 13.4112)/(40 * 9.8)]

                                      = 24.6 degree

C) Angle of banked road should remain same .

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