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You are riding the new roller coaster Fizzix Phun at your local amusement park. The technician with a mass of 85kg clears your car for 'takeoff. The roller coaster car full of people with a mass of 2000 kg is pulled up the initial hill by a lift device. The maintenance stairs up to the top of the hill consists of 11 flights of 30 stairs each wherein a single stair is 10cm high. The drop down the first hill is terrifyingly perpendicular to the ground. You drop down the first hill all the way to the ground and go through a perfectly circular vertical loop with 33% the height of the initial hill.After the vertical loop is a similarly shaped horizontal loop on the ground. This is banked to reduce the parallel shearing forces on the track leaving only the perpendicular supportive force on the car. At the end of the ride is a braking section which slows you to a stop over a distance of10m. The roller coaster is relatively friction less except for the braking section. There are 4.184 J in a calorie. 3a) With what power in Watts does the GPE at the top of the first hill turn into KE at the bottom? 249000W 3b) What angle in degrees up from horizontal must the horizontal loop be banked at to eliminate friction forces? 85 degrees

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