The power of a motor pump is 2 , kW. How much | vedclass

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(C) Power $(P)$ is defined as the rate of doing work, $P = \frac{W}{\Delta t}$.Since work done to lift water is $W = mgh$, the formula becomes $P = \f

Vedclass · Accepted Answer

$1200$

Vedclass · Answer

(C) Power $(P)$ is defined as the rate of doing work, $P = \frac{W}{\Delta t}$.Since work done to lift water is $W = mgh$, the formula becomes $P = \frac{mgh}{\Delta t}$.Given: $P = 2 \, kW = 2000 \, W$, $h = 10 \, m$, $g = 10 \, m \, s^{-2}$, and $\Delta t = 1 \, 	ext{minute} = 60 \, s$.Substituting the values: $2000 = \frac{m 	imes 10 	imes 10}{60}$.$2000 = \frac{100m}{60} \Rightarrow 2000 = \frac{5m}{3}$.$m = \frac{2000 	imes 3}{5} = 400 	imes 3 = 1200 \, kg$.Therefore, the pump can raise $1200 \, kg$ of water per minute.

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

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