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{"ops":[{"insert":"A clothoid loop of a roller coaster is 40.0 m high with a radius of curvature of 10.0 m at the top. Assume that a cart rolls around the inside of the loop with nothing holding it onto the track (Hint: A clothoid loop has a radius which is constantly changing i.e., a different radius in different parts of the loop)."},{"attributes":{"list":"ordered"},"insert":"\n"},{"insert":"a) What is the minimum speed of the cart at the top of the clothoid loop?\n\nb) What is the minimum speed of the cart on a circular loop of the same height?\n\nc) Explain why modern roller coasters often have clothoid loops instead of circular loops.\n\n"}]}
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