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# The power of a motor pump is $2\ kW$. How much water per. minute the pump can raise to a height of $10\ m$? $(Given\ g=10\ m s^{-2})$.

Power of motor pump $P=2\ kW=2000\ W$

Height $h=10\ m$

Gravitational acceleration $g=10\ ms^{-2}$

Time $=1\ minute=60\ seconds$

Let $m$ be the mass of water raised per minute by motor pump.

$P=\frac{mgh}{t}$

Or $2000\ W=\frac{m\times 10\times 10}{60}$

Or $100m=60\times 2000$

Or $m=\frac{60\times2000}{100}$

Or $m=1200\ kg$

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