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5. A "Super Slide” at a park is a ramp 35 meters long tilted at an angle of 18 degrees. People sit on blankets at the top of the slide, slide down to a flat section, and then slide to a stop. The coefficient of kinetic friction between the blankets and all parts of the slide is 0.24. Solve this problem using energy methods. a) (3 pts) Draw a diagram showing the slide, and a rider at three positions: at the top of the slide, at the bottom of the slide, and after coming to a stop. Indicate on your diagram what the Kinetic and Gravitational Potential Energies are for the rider at each of these points. b) (3 pts) Draw another figure showing the forces acting on the rider as she goes down the slide. If you need to break any forces into components, show those components, and give the formulas for those components. c) (2 pts) Give a formula for the friction force felt by the rider on the slide. Justify that equation. d) (4 pts) Use energy methods to find the velocity of the rider at the bottom of the slide. e) (3 pts) How far does the rider slide on the flat section before coming to a stop? Use energy methods. f) (4 BONUS points) Distinguish between conservative and non-conservative forces. Explain, with words and a diagram, why friction qualifies as a non-conservative force.