The Grand Coulee Dam is 1270 m long and 170 m high. The electrical power output from generators at its base is approximately 2000 MW. How many cubic meters of water must flow
from the top of the dam per second to produce this amount ofpower if 92% of the work done on the water by gravity is converted to electrical energy? (Each cubic meter of water has a mass of 1000 kg.)
The Attempt at a Solution
The main question I have regarding this problem is whether or not one can use P = FV to solve it. If so, is the force equivalent to the mass of the quantity of water that will produce 2000 MW times g? If so would that mean that the velocity is equivalent to the velocity of an object after it has undergone free-fall for 170m? I realize that the problem can be solved by using P = ΔW/Δt, but I am trying to solve it with P = FV so I will better understand the situation.