9709 P41 - Nov 2017 - Q3
3527
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.
- Find the total work done against the resistance force as the car ascends the first ramp and descends the second ramp.
- 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.
