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A pump is used to raise water to a height of $20 m$ . It transfers $2000 kg$ of water in $15$ minutes. The power of the pump is approximately [[1]] Watts.

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Detailed Solution

A pump is used to raise water to a height of

20 m

. It transfers

2000 kg

of water in

15

minutes. The power of the pump is approximately

444.4 Watts .

Given:
mass,

m = 2000 kg

time,

t = 15 minutes

\Rightarrow

= 15 \times 60 s

\Rightarrow

= 900 s

height,

h = 20 m

we know power,

P = \frac{W}{t}

here work done

W = mg \times h

[

Force \times displacement

]
Power,

P = \frac{mgh}{t}

\Rightarrow

= \frac{2000 \times 10 \times 20}{15 \times 60}

\Rightarrow

= \frac{2 \times 10^{4}}{45}

P = 444.4 W

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