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Question

Physics Question on work, energy and power

Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine ? (g = 10 m/s2^2)

A

12.3 kW

B

7.0 kW

C

8.1 kW

D

10.2 kW

Answer

8.1 kW

Explanation

Solution

Mass of water falling/second = 15 kg/s
h = 60 m
g= 10 m/s2^2, loss = 10%

i.e., 90% is used.
Power generated = 15 ×\times 10 ×\times 60 ×\times 0.9
= 8100 W = 8.1 kW.