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An engine pumps water through a hose pipe . Water passes through the pipe and leaves it with a velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the engine?

  • Option 1)

    400 W

  • Option 2)

    200 W

  • Option 3)

    100 W

  • Option 4)

    800 W

 

Answers (1)

As discussed in

Power if the force is constant -

P=frac{dw}{dt}= P= vec{F}cdot vec{v}

- wherein

vec{F}
ightarrow force

vec{v}
ightarrow velocity

 

Mass per unit length of water, \mu = 100 kg/m

Velocity of water V= 2m/s

Power of the engine P = \mu v^{3} = (100)\times (2)^{3}

                                P = 800 W


Option 1)

400 W

This solution is incorrect

Option 2)

200 W

This solution is incorrect

Option 3)

100 W

This solution is incorrect

Option 4)

800 W

This solution is correct

Posted by

subam

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