Final answer:
The energy transformation when the gate of a hydroelectric power plant is opened is from potential energy to kinetic energy as the water flows into the plant, eventually being converted to electrical energy by the plant's turbines.
Step-by-step explanation:
When the gate of a hydroelectric power plant is opened and river water flows through the dam's large pipe into the power plant, the transformation of energy that is taking place is from potential energy to kinetic energy as the water flows into the plant. The water behind the dam is stored at a high elevation and has potential energy due to its position. As the water is allowed to fall through the sluice, this potential energy is converted into kinetic energy due to the motion of the falling water. Eventually, this kinetic energy is used to turn turbines within the power plant, which then convert the kinetic energy into electrical energy for consumption.