Fewpal
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An engine pumps water through a hose pipe. Water passes through

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We know, power = Force × velocity

e.g., P = Fv .........(1)

we also know Force = mass × acceleration

or, Force = mass × change in velocity/time taken

if intial velocity = 0,

then, Force = mass × velocity/time taken

e.g., F = m(v/t) ..........(2)

put equation (2) in equation (1),

P = m(v/t)v =  mv²/t

now, mass = density × volume

or , mass = density × base area × length

e.g., m = , put it in above equation.

so , here,  A is nothing mass per unit length

hence, P = 100 × (2)3 = 100 × 8 =  800W

 

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