Answer:
The generator produces electrical energy at a rate of 1378125000 J per second.
Explanation:
volume of water falling each second is 1250 [tex]m^{3}[/tex]
height through which it falls, h is 150 m
mass of 1 [tex]m^{3}[/tex] of water is 1000 kg
⇒mass of 1250 [tex]m^{3}[/tex] of water, m = 1250×1000 = 1250000 kg
acceleration due to gravity, g = 9.8 [tex]\frac{m}{sec^{2} }[/tex]
in falling through 150 m in each second, by Work-Energy Theorem:
Kinetic Energy(KE) gained by it = Potential Energy(PE) lost by it
⇒KE = mgh
= 1250000×9.8×150 J
= 1837500000 J
Electrical Energy = [tex]\frac{3}{4}[/tex](KE)
= [tex]\frac{3}{4}[/tex]×1837500000
= 1378125000 J per second
