Final answer:
The sum total of potential energy and kinetic energy is always equal in a roller coaster due to the law of conservation of energy.
Step-by-step explanation:
In a roller coaster ride, the sum total of potential energy and kinetic energy is always equal because of the law of conservation of energy. This law states that in a closed system, the total energy remains constant. As the roller coaster moves along the track, it undergoes transitions between potential and kinetic energy, but the total mechanical energy remains the same.