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A flat Curve on a highway has radius of curvature 400 m.A car goes around the curve at a speed of 32 m/s.What is the minimum value of the coefficient of friction that will prevent the car from sliding? |
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Answer» In order to prevent the vehicle from slipping away on a curve, the necessary centripetal FORCE should be provided by the force of friction between the road and the wheels of the vehicle.Force of friction=μmg ----- here μ is the coeficient of friction(which depends on the two interacting SURFACES), m is the mass of the car and G is the gravitational acceleration.Centripetal force = RM V 2 both should be equal. So,μmg= rm V 2 μ= rgV 2 = 400×9.832 2 =0.261. |
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