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> 0 mg. schedule of tasks: draft 1, individual work: Assume the coaster is given a 'kick' between points 1 and 2 to accelerate it up to speed v. The coaster is then pulled up the ramp by a motor at constant speed (v) up to the point 3. From this point on, the coaster slides on the frictionless track, until it reaches the point 15, where brakes stop it. You will be assigned a value for motor speed(v), ramp angle(0) and first hill height(h). Based on these values find i) the work done on the coaster by the 'kick' ii) the ramp motor force(draw a FBD), energy used and power iii) the coaster speed at all points 1,2,3,.....15 Show all work. Present well-annotated solutions. Present a summary of your results by redrawing this diagram and labelling the calculated values next to the relevant points. startxend(1) 15 w 2m 3m 5 4m 16 m