14) A 1500 kg car moving on a flat, horizontal road negotiates a curve, as shown in Figure 12(a). If the radius of the curve is 35 m and the coefficient of static friction between the tires and dry pavement is 0.5, find the maximum speed the car can have and still make the turn successfully.

13) If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).   (a) Calculate the ideal speed in (m/s) to take a 110 m radius curve banked at 15°. _____ m/s   (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?

4) À car travels around a curve banked at 10° to the horizontal. The radius of the curve is 90 m and the car is travelling at 61.2 km/h. Determine μs. 5) An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at 30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000 N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the package is pushed in the opposite direction by the spring. The coefficient of friction between the ramp/floor and the package is 0.21. Calculate x and determine if the package will stop before it gets back to the ramp or if it will begin to slide up the ramp. h 6) A roller blader (84 kg) is travelling at 19 m/s [E]. A 21.2 kg child is riding a 7.8 kg bike at a speed of 6 m/s [W]. The roller blader and the cycling child collide in what can be assumed to be an elastic collision. What are the final velocities of the roller blader and the…

Built in 1983 in preparation for the 1984 Olympic Games, the 7-Eleven United States Olympic Training Center Velodrome features a 333.3-meter cement cycling track with semi-circular turns of radius 22m banked at 33 degrees. (HCPCRN31382)In 2016, Evelyn Stevens set a world record there going 47.98km in one hour. Assuming she traveled at a constant speed for the entire hour, was friction required for her to safely travel the turns on the track? If so, what minimum coefficient of static friction must be present? The mass of Evelyn and her bicycle combined was 62.8 kg.