Four rivers have the same volume of water flow over time but fall from different heights to power hydroelectric dams. Which dam would provide the most hydroelectric power? (1 point)
Responses
Dam C: 225 ft.
Dam C: 225 ft.
Dam D: 316 ft.
Dam D: 316 ft.
Dam B: 55 ft.
Dam B: 55 ft.
Dam A: 175 ft.
Dam D: 316 ft.
To determine which dam would provide the most hydroelectric power, we need to consider the potential energy of the falling water. The potential energy is calculated by multiplying the volume of water flow by the height it falls from (potential energy = volume * height).
The potential energies for each dam are:
Dam A: 175 ft
Dam B: 55 ft
Dam C: 225 ft
Dam D: 316 ft
Comparing the potential energies, we can see that Dam D, with a height of 316 ft, would provide the most hydroelectric power.
To determine which dam would provide the most hydroelectric power, we need to consider the relationship between the volume of water flow and the height of the dam. The amount of power generated by a hydroelectric dam depends on the potential energy of the water, which is determined by its height and volume.
In this scenario, four rivers have the same volume of water flow but fall from different heights. We can compare the potential energy for each dam by multiplying the volume of water by the height of the dam:
Potential energy = Volume of water * Height of dam
Let's calculate the potential energy for each dam:
For Dam C: 225 ft.
For Dam D: 316 ft.
For Dam B: 55 ft.
For Dam A: 175 ft.
Now, based on the potential energy calculations, we can see that Dam D has the highest potential energy (316 ft.), followed by Dam A (175 ft.), Dam C (225 ft.), and Dam B (55 ft.).
Therefore, Dam D would provide the most hydroelectric power among the four dams.