(11%) Problem 7: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). *50% Part (a) Calculate the minimum speed, in meters per second, required to take a 108 m radius curve banked at 1/' so that you don't slide inwards, assuming there is no friction. Grade Summary min = 271 Deductions Potential 100% sin( cos () tan() IT ( 7 8 9 HOME E 1 4 5 6 Submissions cotan() asin() acos() Attempts remaining: 997 atan() acotan() sinh() * 1 2 3 (0% per attempt) cosh() tanh( cotanh() + 0 END detailed view o Degrees . Radians VO BACKSPA DEL CLEAR 1 0% 2 0% Submit Hint Feedback I give up! Hints: 3 for a 0% deduction. Hints remaining: 0 Feedback: 1 for a 0% deduction -Draw a free body diagram for the car. No meaningful feedback available for the current Write Newton's second law in the vertical and radial submission. directions - is the acceleration in your equations a minimum or a maximum? -Find the minimum velocity from this set of equations. What is the acceleration in the vertical direction? 4 50% Part (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 24 km/h