Calculate the power of a pump that can lift $200 k g$ of water through a height of $10 m$ in $5 s$ . Given the value of $g = 10 m s^{- 2}$ .

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Solution

Step 1: Data provided,
$M a s s (m) = 200 k g H e i g h t (h) = 10 m T i m e (t) = 5 s$
Step 2: Formula used,
$W o r k (W) = m g h P o w e r (P) = \frac{W o r k}{t i m e}$
Step 3: Calculation,
$W o r k (W) = m g h W = 200 k g \times 10 m s^{- 2} \times 10 m W = 20000 J P o w e r (P) = \frac{W o r k}{t i m e} P = \frac{20000 J}{5 s} = 4000 W$
Hence, the required power is 4000 W.

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Calculate the power of a pump that can lift 200kg of water through a height of 10m in 5s. Given the value of g=10ms-2.

Step 1: Data provided,Mass(m)=200kgHeight(h)=10mTime(t)=5sStep 2: Formula used,Work(W)=mghPower(P)=WorktimeStep 3: Calculation,Work(W)=mghW=200kg×10ms-2×10mW=20000JPower(P)=WorktimeP=20000J5s=4000WHence, the required power is 4000 W.

Calculate the power of a pump that can lift $200 k g$ of water through a height of $10 m$ in $5 s$ . Given the value of $g = 10 m s^{- 2}$ .