Given: Velocity: 2.0m/s Angle: 50 degrees Height: 25m Roller Coaster Project task: Apply the principles of physics to a roller coaster, and understand how physics influences track design data: Coaster car is 6 m long by 1.5 m wide, 1200 kg mass (includes 8 seated passengers). Available space is 30 m wide by 120 m long by 20 m high. The track should be a continuous loop that starts and finishes at one of the lower corners. The apparent weight on the ride should satisfy 4mg >FN >Omg. Question: draft 2, individual work i) Using circular motion analysis, find a value for the radius of curvature at the points 4,5,7,8,9,10,11,12, 13 to ensure that the normal force is not too big or small (4mg >FN > 0 mg). Be sure to annotate calculations and include a rationale for any assumptions you make. ii) ensure that the coaster is moving fast enough at point 8 to complete the loop iii) pick a reasonable value for the radii -give a rationale- at points 6 and 14, and then calculate the banking angle. Ensure the normal force is not too large. 4m 2 ...8. start/end(1) 16 m 5 2m 3m