Assume that you are testing an amusement park ride. The ride part of a roller coaster consists of a single car that weighs 300 lb with the passenger included and glides on a track. At a high point in the roller coaster, where the radius of curvature is 25ft, the car attains a speed of 8 ft/s and is decreasing at the rate of 10 ft/s. a. Calculate the net force of the seat on the passenger assuming there is no significant friction between the track and the car. b. In which direction, will this net force act? c. Suppose if you consider friction between the car and track, will the net force of the seat on the passenger change? d. Suppose the car is brought to a rest on a straight-line section of the track using a spring, compute an expression for the stiffness of spring. Based on the exposure to various problems in this course, you are essentially designing a stopping mechanism for the car in the roller coaster. You may also consider using multiple springs in parallel. Note: Make suitable assumptions wherever necessary. Draw FBDS and other sketches. This question requires you to upload your worksheet.