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[14]
A water pump raises $50 kg$ of water through a height of $25 m in 5 s$ . What is the power which the pump supplies? (take $g = 10 m / s$ 2) .

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2500 W

3400 W

2300 W

1300 W

answer is A.

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Detailed Solution

A water pump raises

50 kg

of water through a height of

25 m in 5 s

2500 W

is the power which the pump supplies.
Given,
Mass of water

= 50 kg

Height =

25 m

Time

t = 5 s

So,

force = m \times g

\Rightarrow

= 50 \times 10

force

= 500 N

Work done = Force \times displacement

Here the value of displacement given is

10 m

So,

W = 500 N \times 25 m

\Rightarrow W = 12500 J

And we know that

power P = \frac{W}{T}

\Rightarrow P = \frac{12500}{5}

P = 2500 W

Thus, the power supplied by the pump is

2500 W .

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