Final answer:
We cannot accurately determine the minimum coefficient of static friction without specific information about the angle of banking and the mass of the car, which are essential for calculating the necessary friction to prevent the car from skidding at a higher speed on a banked curve.
Step-by-step explanation:
To determine the minimum coefficient of static friction required for a car to not skid when traveling at 103 km/h on a curve with a radius of 93 m, we need to use concepts from circular motion and friction. Since the curve was originally banked for a car traveling at 78 km/h, this implies that at this speed, no friction is required to take the turn. But as the speed increases to 103 km/h, centrifugal force increases and therefore friction must act to provide the additional centripetal force necessary to keep the car from skidding out of the turn. We can express this as:
- The centripetal force needed for the car traveling at 103 km/h
- The gravitational and normal forces acting on the car
- The available static friction force that must be equal to or greater than the deficit in centripetal force caused by the increased speed
Centripetal force (Fc) required at 103 km/h is Fc = mv²/r. The frictional force (Friction) needed to provide this force is Friction = μN, where μ is the coefficient of static friction and N is the normal force. We need to find μ such that Fc ≤ μN.
However, without the specific values for the angle of banking and the mass of the car, we cannot provide a numerical answer. The question seems to be missing this key information, which is necessary to calculate the coefficient of static friction required for these conditions. Therefore, an accurate answer cannot be provided without this additional data.