Answer:
The energy generated = 11008256 J
Step-by-step explanation:
Energy; This can be defined as the ability or the capacity to do work. The unit of energy is Joules (J).
Energy is divided into two,
(i) potential Energy
(ii) Kinetic Energy.
(i) Potential Energy: This is the energy of a body in position
Ep = mgh .............................. Equation 1
(ii) Kinetic Energy: This is the energy of a body i n motion
Ek = 1/2mv²........................... Equation 2
From the question above,
Using,
Ep = mgh
Where EP =Potential Energy m = mass of the water, h = height of the water, g = acceleration due to gravity.
Given: m = 11200 kg, h = 100 m, Constant g = 9.8 m/s²
Substituting these values into equation (1)
Ep= 11200×100×9.8
Ep = 10976000
Ep = 10.97 MJ
Ek = 1/2mv² .......................... Equation 2
Given: m =11200 kg, v = 2.4 m/s
Ek = 1/2(11200)(2.4)²
Ek = 32256 J
Energy generated = 10976000 + 32256 = 11008256 J
Thus the the amount of energy generated = 11008256 J