The Law of Conservation of Mechanical Energy states that the total amount of kinetic and potential energy in a system is conserved and constant at any point. A rollercoaster has a mass of 100 kg. At its peak, the rollercoaster has a height of 100 m. It then starts to descend to ground level.
1. draw an illustration of the rollercoaster
2. determine the potential energy of the system at peak
3. determine the kinetic energy of the system at the peak
4. what is the total energy of the peak?
5. determine the potential energy of the system on the ground
6. determine the kinetic energy of the system on the ground
7. determine the velocity of the rollercoaster just as it hits the ground.