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Recall from lecture that Flip-Flap Railway is an old roller coaster that was built in a circle. It has a diameter of 25 ft and

Recall from lecture that Flip-Flap Railway is an old roller coaster that was built in a circle. It has a diameter of 25 ft and riders entered the ride at a speed of 45 mph. At the top of the loop, the speed of the roller coaster is about 17.5 mph. You may assume 1 passenger is 198 pounds, I passenger is 171 lbs, and the cart is 1180 lbs. 1.) Determine the force the seat exerts on the passengers at both the top and the bottom of the loop in g's. 2.) What is the minimum speed the roller coaster must travel to not fall off the top of the loop. Supplemental Questions: Given your solution why are modern roller coasters designed with a teardrop shape? (A Large curvature at the start that reaches a minimum at the top.)

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