Question

In a dam, water falls at a rate of 1000 kg s
from a height of 100 m.
(a) Calculate the initial potential energy of the
water.
(b) Assuming that 60% of the energy of the
falling water is converted to electrical
energy, calculate the power generated.
(Take g = 9.8 m s-2).

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Answer 1

Answer:

Energy available from the falling water

= its initial potential energy = mgh

Energy converted to electrical energy

= 60% of the energy gained from the falling water

= 100 x mgh = 0.6 mgh

Electrical energy 0.6 mgh

Power generated = 1

Time

0.6X1000X9.8x100

t

- Isi

= 5.88 x 105 W