An engine draws water from a depth of 10m with constant speed 2m/s at rate of 10 kg per 10 seconds the power of the engines is (in watt.) : (Take g = 9.8 m/s^2).
(A) 102 W
(B) 98 W
(C) 100 W
(D) 200 W
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answer : option (C) 100 W
An engine draws water from depth, h = 10m with a constant speed , v = 2m/s at rate of m = 10kg in time t = 10s
total energy of water , T.E = K.E + P.E
= 1/2 mv² + mgh
= 1/2 × 10 × (2)² + 10 × 9.8 × 10
= 20 + 980
= 1000 J
now power of engine = total energy/time taken
= 1000 J/10sec
= 100 J/s = 100 W
hence, power of engine is 100 W
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option c mate
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