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Circular Motion and the Amusement park 24.5 m's x=27 m/s Radius of curves: x=30 m/s First loop (points A and B) has a radius of 15 m 100 m First hill (point C) has a radius of 25m 50 m 30 m Second loop has a radius of 25 m. x=45 m/s 1. Note: mass of car and passengers is 520kg. a) A safe roller coaster will have a g-force less than 6 at all points. Between points A, B, C and D, determine which point will have the highest g-force and calculate the value to ensure that the roller coaster is safe. b) Calculate the normal force at the top of the first loop (point B) and the hill (point C) and explain how you know whether the roller coaster will make it through the first loop safely (point B) and over the hi without flying off (point C). c) What is the minimum speed at point D for the roller coaster to safely make it through the second loop

Circular Motion and the Amusement park 24.5 m's x=27 m/s Radius of curves: x=30 m/s First loop (points A and B) has a radius of 15 m 100 m First hill (point C) has a radius of 25m 50 m 30 m Second loop has a radius of 25 m. x=45 m/s 1. Note: mass of car and passengers is 520kg. a) A safe roller coaster will have a g-force less than 6 at all points. Between points A, B, C and D, determine which point will have the highest g-force and calculate the value to ensure that the roller coaster is safe. b) Calculate the normal force at the top of the first loop (point B) and the hill (point C) and explain how you know whether the roller coaster will make it through the first loop safely (point B) and over the hi without flying off (point C). c) What is the minimum speed at point D for the roller coaster to safely make it through the second loop

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Circular Motion and the Amusement park 24.5 m's v=27 m/s Radius of curves: v=30 m/s First loop (points A and B) has a radius of 15 m 100 m First hill (point C) has a radius of 25m 50 m 30 m Second loop has a radius of 25 m. y=45 m/s 1. Note: mass of car and passengers is 520kg. a) A safe roller coaster will have a g-force less than 6 at all points. Between points A, B, C and D, determine which point will have the highest g-force and calculate the value to ensure that the roller coaster is safe. b) Calculate the normal force at the top of the first loop (point B) and the hill (point C) and explain how you know whether the roller coaster will make it through the first loop safely (point B) and over the hill without flying off (point C). c) What is the minimum speed at point D for the roller coaster to safely make it through the second loop?
Transcribed Image Text:Circular Motion and the Amusement park 24.5 m's v=27 m/s Radius of curves: v=30 m/s First loop (points A and B) has a radius of 15 m 100 m First hill (point C) has a radius of 25m 50 m 30 m Second loop has a radius of 25 m. y=45 m/s 1. Note: mass of car and passengers is 520kg. a) A safe roller coaster will have a g-force less than 6 at all points. Between points A, B, C and D, determine which point will have the highest g-force and calculate the value to ensure that the roller coaster is safe. b) Calculate the normal force at the top of the first loop (point B) and the hill (point C) and explain how you know whether the roller coaster will make it through the first loop safely (point B) and over the hill without flying off (point C). c) What is the minimum speed at point D for the roller coaster to safely make it through the second loop?
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