Exam-Style Problem

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Nov 2017 p41 q3
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A roller-coaster car (including passengers) has a mass of 840 kg. The roller-coaster ride includes a section where the car climbs a straight ramp of length 8 m inclined at 30° above the horizontal. The car then immediately descends another ramp of length 10 m inclined at 20° below the horizontal. The resistance to motion acting on the car is 640 N throughout the motion.

  1. Find the total work done against the resistance force as the car ascends the first ramp and descends the second ramp.
  2. The speed of the car at the bottom of the first ramp is 14 m s-1. Use an energy method to find the speed of the car when it reaches the bottom of the second ramp.
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