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3. A rollercoaster car with mass 950 kg travels along a frictionless track, as per the diagram below (not to scale). It starts at position A. To simplify our calculations, use g = 10 m s².Position B is defined as having height h = 0 m.

) At position A the car has no kinetic energy and potential energy of 950,000 J. i. State the system for this scenario. ii. What is the total energy of the system? iii. Determine the height of the car. At position B the car is at height h = 0 m. Determine: i. the total energy of the system ii. the kinetic energy of the car iii. the potential energy of the car iv. the velocity of the car (c) At position C: the car is at the top of the loop and has kinetic energy of 522.5 kJ. Determine: i. the potential energy of the car ii. the height of the car iii. the velocity of the car (d) At position D: the car is at height 30 m. Determine: i. the potential energy of the car ii. the kinetic energy of the car iii. the velocity of the car (e) At position D the brakes are applied to the rollercoaster car, causing a friction force of4,650 N. Use the work-energy theorem and your answer for the kinetic energy at position D to find the distance the car skids before coming to rest.

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