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Explore the physics of a roller coaster with calculations for drag force at the bottom, hill inclination angle, and loop speed. Discover the relationship between velocity, height, and drag coefficient in this dynamic scenario. Challenge your knowledge of physics principles!
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The Corkscrew By: Amanda Hui & Jessica Lu
Question #1 • A 400.-kg roller coaster is at the top of a 48.0m hill. At the bottom of the hill the roller coaster is going 24.5m/s. The density of air is 1.2250 kg/m3 and the cross sectional area of the coaster is 2.50m2. If the drag coefficient for the coaster is 0.850, find: a) The drag force of the coaster at the bottom. b) Assuming drag force is constant down the hill, find the angle of inclination of the hill. 24.5m/s 48.0m 400-kg
Question #2 7.50m/s • A roller coaster has two vertical loops one after the other. The roller coaster has a speed of 7.50m/s at the top of the first loop with a height of 25.8m. It then proceeds around the second vertical loop with a height of 16.0m. What is the speed of the roller coaster at the top of the second vertical loop? (Assuming no friction.)