- Diagram 1:
- A: 0% PE, 100% KE
- B: 100% PE, 0% KE
- C: 35% PE, 65% KE Gaining smaller amount of PE
- D: 80% PE, 20% KE, Gaining PE
- E: 60% PE, 40% KE, Gaining PE
- F: 40% PE, 60% KE, Gaining KE
- Diagram 2:
1. The roller coaster track at point C is higher than the starting point A, which means the car does not have enough initial potential energy to reach that height.
2. The roller coaster car would not be able to reach the top of the hill at point C because it lacks sufficient gravitational potential energy to overcome the height difference; it would stop and roll back before reaching C.
3. Lower the height of the hill at point C so that it is equal to or less than the height at point A.
4. This solution works because the total mechanical energy (potential + kinetic) is conserved (ignoring friction). By ensuring the highest point on the track is no higher than the starting point, the car’s initial potential energy is sufficient to reach all subsequent points on the track.
Parent Tip: Review the logic above to help your child master the concept of roller coaster worksheet.
