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A pump is required to lift 800 kg of water per minute from a well 14.6 m deep and eject it with a speed of 18.2 m/s..

a. How much work is done per minute in lifting the water?b. How much in giving the water the kinetic energy it has when ejected?K =?c. What must be the power output of the pump?

Respuesta :

Answer:

a)W = 116800 J

b)KE=132496 J

c)P=4154.93 W

Explanation:

Given that

m= 800 kg/min

h= 14.6 m

v= 18.2 m/s

a)

Work done required ,W= m g h

h=height of the well

m=mass

W= 800 x 14.6 x 10                 ( take g= 10 m/s²)

W = 116800 J

b)

kinetic energy = KE

[tex]KE=\dfrac{1}{2}mv^2[/tex]

m=mass

v=velocity

[tex]KE=\dfrac{1}{2}\times 800\times 18.2^2[/tex]

KE=132496 J

c)

Pump power given as

[tex]P=\dfrac{W'}{t}[/tex]

W'=Total work done

t=time

[tex]P=\dfrac{116800+132496}{60}[/tex]

P=4154.93 W

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