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An electric pump has 2 kW power. How much water will the pump lift every minute to a height of 10 m? - Science and Technology

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प्रश्न

An electric pump has 2 kW power. How much water will the pump lift every minute to a height of 10 m?

योग

उत्तर

Power, P = 2 kW

Power , `"P"  = "Work done (W)"/"Time Taken (T)"`

⇒ `"W" = "P" xx "T"`

For every minute i.e. 60 s, work done by the pump is
`"W" = 2 xx 1000 xx 60 = 120000 "J"`

Now, this work is stored in water as its potential energy.

Thus,

mgh = 120000 J

⇒ m = `120000/(9.8 xx 10)` = 1224.5 kg

Hence, 1224.5 kg of water is lifted by the pump every minute to a height of 10 m.

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अध्याय 2: Work and Energy - Exercises [पृष्ठ २९]

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बालभारती Science and Technology [English] 9 Standard Maharashtra State Board
अध्याय 2 Work and Energy
Exercises | Q 5. a. | पृष्ठ २९

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