An engine draws water from a depth of 10m with constant speed (at out let) 2 m/sec at the rate of 10 kg per 10 secs the power of the engine is (in watt.) : (g = 9.8 m/s2)

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Question

An engine draws water from a depth of 10m with constant speed (at out let) 2 m/sec at the rate of 10 kg per 10 secs the power of the engine is (in watt.) : (g = 9.8 m/s²)

100

102

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Depth, h = 10m, Velocity, v = 2m/s
Rate of drawing water = 10 kg per 10 second
   or 1 kg per second
   Power $= \frac{Total energy}{Time} = \frac{mgh + \frac{1}{2} {mv}^{2}}{t}$
   Power $= \frac{1 \times 9 .8 \times 10 + \frac{1}{2} \times 1 \times (2)^{2}}{1} = 100 watt$

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