Answer:
P = 2234400 Watt
Explanation:
Power generation is given as rate of work done
Here the turbine generator is located at 120 m below the free surface
So here rate of work done is given as rate of potential energy
so we have
now we have
so the power generation potential will be 2234400 Watt
To solve this problem we use the general kinetic equations.
We need to know the time it takes for the car to reach 130 meters.
In this way we have to:
Where
= initial position
= initial velocity
= acceleration
= time
= position as a function of time
.
We use the quadratic formula to solve the equation.
t = 6.63 s and t = -17.1 s
We take the positive solution. This means that the car takes 6.63 s to reach 130 meters.
Then we use the following equation to find the final velocity:
Where:
= final speed
The final speed of the car is 27.25 m/s