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AP Physics FRQ - Work and Energy - Calculate the speed of the car at position A (B2004B1)
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~ Problem Description ~
A designer is working on a new roller coaster, and she begins by making a scale model. On this model, a car of total mass 0.5kg moves with negligible friction along the track shown in the figure above. The car is given an initial speed v =1.5 m/s at the top of the first hill of height 2m. Point A is located at a height of 1.9 m at the top of the second hill, the upper part of which is a circular arc of radius 0.95m.
a) Calculate the speed of the car at point A.
b) On the figure below, draw and label vectors to represent the forces on the car at point A.
c) Calculate the magnitude of the force of the track on the car at point A.
d) In order to stop the car at point A, some friction must be introduced. Calculate the work that must be done by the friction force in order to stop the car at point A.
e) Explain how to modify the track design to cause the car to lose contact with the track at point A before descending down the track. Justify your answer.
Concepts Required:
- Conservation of Energy
- Work-Energy Theorem
- Centripetal Forces
** 2024 8-WEEK AP PHYSICS 1 REVIEW COURSE **
- begins Sunday, March 24th 2024
- course registration includes one 1-hr private review session in addition to the weekly group review sessions
- enrollment includes not only reviews for every topic covered by the exam, but also practice materials you won't find anywhere else, study guides, and easy to follow presentations with worked out challenging problems from previous AP Physics exams.
~ Problem Description ~
A designer is working on a new roller coaster, and she begins by making a scale model. On this model, a car of total mass 0.5kg moves with negligible friction along the track shown in the figure above. The car is given an initial speed v =1.5 m/s at the top of the first hill of height 2m. Point A is located at a height of 1.9 m at the top of the second hill, the upper part of which is a circular arc of radius 0.95m.
a) Calculate the speed of the car at point A.
b) On the figure below, draw and label vectors to represent the forces on the car at point A.
c) Calculate the magnitude of the force of the track on the car at point A.
d) In order to stop the car at point A, some friction must be introduced. Calculate the work that must be done by the friction force in order to stop the car at point A.
e) Explain how to modify the track design to cause the car to lose contact with the track at point A before descending down the track. Justify your answer.
Concepts Required:
- Conservation of Energy
- Work-Energy Theorem
- Centripetal Forces
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